A sufficient condition 2 is given to assure the attractiveness to a given sliding. Includes a tutorial covering all basic concept of fractional order system and a brief overview of sliding mode control of fractional order system. Under the presented framework, the overall quav system is decoupled into translational subsystem and rotational subsystem. A fractional order sliding mode fosm control is proposed to suppress chattering from power and current signals.
The proposed method also shows good control performance and reduces the. In this article, an adaptive sliding mode technique based on a fractional. Sliding mode control, fractional order di erentiation, unstable systems, time delay 1. First, a new smooth and derivable nonlinear function with improved continuity and derivative is designed to replace the traditional. A sliding mode control with nonlinear fractional order pid. The generator torque is used as the control input to vary the rotor speed in order to maximize energy conversion. In section 2, a brief summary of fractional order calculus, fractional order systems and the related lyapunov stability extension for stability analysis are presented.
Review of fractional order terminal sliding mode control fotsmc eorem see. Research article fractional order terminal sliding mode control for buck dcdc converter ningningyang, 1,2 chaojunwu, 3 rongjia, 1,2 andchongxinliu 4 state key laboratory base of ecohydraulic engineering in arid area, xi an university of technology, xi an, china. Pdf application of fractional order sliding mode control. An improved type of control strategy combining the fractional calculus with nonsingular terminal sliding mode control named nonsingular fractional terminal sliding mode control nfotsm is proposed for the nonlinear tireroad friction control system of vehicle in this paper. Highperformance fractional order terminal sliding mode. The proposed fractional order sliding mode control consists of two subsliding manifolds that are defined separately for the actuated and unactuated states. Ortigueira, introduction to fractional linear systems. A fractional order sliding mode control method for power quality enhancement of the pmsg wind turbine is proposed.
Study on the nonsingular problem of fractionalorder. First, the mathematical model of the pmlsm is investigated by using the principle of field oriented control. This paper introduces a novel fractional fast terminal sliding mode control strategy for a class of dynamical systems with uncertainty. Precision motion control of permanent magnet linear. Sliding mode control approaches to the robust regulation of linear multivariable fractionalorder dynamics. Robust fixedtime sliding mode control for fractional. Fractional order sliding mode control of a class of second.
Transactions of the institute of measurement and control, 4110 29322946 doi. Robust synchronization of fractionalorder uncertain chaotic. The other parts contain deal with robust finite time stability of fractional order systems, integral sliding mode control of fractional order systems, cooperative control. Conformable fractional order sliding mode control for a class. A fractional order switching manifold is proposed, and the corresponding control law is formulated based. Model uncertainties and wind gust disturbances are taken into consideration. This article proposes a novel fractional order sliding mode control for a class of fractional order and integer order systems with mismatched disturbances. The simulation results of its application to a fractional inverted pendulum system is demonstrated. Fractional sliding mode control is the use of sliding mode control with fractional. The idea of such method is used to design a novel nonlinear sliding surface function which is a fusion of characteristics of tsmc and foc. In this paper, a novel conformable fractional order fo sliding mode control technique is studied for a class of fo chaotic systems in the presence of uncertainties and disturbances. Due to the good capability for counteracting sliding mode chattering, we adopt the following switching control law to guarantee the existence of sliding mode. Hence fractional order control schemes for suppression of chaotic oscillations with fractional order adaptive sliding mode control foasmc and genetically optimized fractional order pid control gafopid are derived. In this study, the backstepping method integrated with the fractional.
Sliding mode control based on fractional order calculus for. Fractional order sliding mode control for tethered. Sliding mode control of fractional order system to design a sliding mode controller, a sliding surface must be primarily designed. A control approach of sliding mode category is applied in this study for direct control of active and reactive power in a grid connected threephase dcac converter. The other parts contain deal with robust finite time stability of. Pdf fractionalorder sliding mode control for dstatcom. First, a novel fractional order terminal sliding mode surface is proposed to guarantee the fixedtime convergence of system states along the sliding surface. Two strategies for fractional sliding mode control of integer order systems by system augmentation. In 23 a maximum power point tracking based higher order sliding mode control is proposed for the dfig based wind energy system. Fractionalorder sliding mode control for a class of. Application to the trajectory tracking of a quadrotor arturo goveavargas 1, rafael castrolinares 1, manuel a. It is different from integral sliding mode in which the design is based on the full order of the system to reach the same objective. Design of hierarchical terminal sliding mode control scheme.
Robust synchronization of fractionalorder uncertain. Fractional order sliding mode controller fosmc design the sliding mode control strategy is divided into three steps such as. Fractional order exponential type discretetime sliding mode. Robust synchronization of chaotic systems with fractional.
This process is experimental and the keywords may be updated as the learning algorithm improves. The fractionalorder terminal slidingmode control ftsmc method has been adopted for controlling the buck converter. Two strategies for fractional sliding mode control of integer order. The terminal sliding surface function is expressed as a fractional order differential equation that is obtained in the form 21 where. Fixedtime fractionalorder sliding mode control for nonlinear power. This paper mainly focuses on the robust synchronization issue for driveresponse fractional order chaotic systems focs when they have unknown parameters and external disturbances. Fractional order sliding mode control with reaching law. Chaos control in fractional order smart grid with adaptive. Research article fractionalorder terminal sliding mode control for buck dcdc converter ningningyang, 1,2 chaojunwu, 3 rongjia, 1,2 andchongxinliu 4 state key laboratory base of ecohydraulic engineering in arid area, xi an university of technology, xi an, china. Fractional order terminal sliding mode control for the buck converter. In this study, a fractionalorder sliding mode controller is effectively. Presents original and uptodate work on stabilization and control design for continuous and discrete fractional order systems. Then some fractionalorder control strategies are proposed one after another, such as fractionalorder pid controllers, fractionalorder slidingmode controllers 1416, fractionalorder optimal controllers, and fractionalorder adaptive controllers 18, 19. Numerical simulations prove that gafopid controllers are effective compared to foasmc for chaos control in fractional order systems.
Fuzzy fractional order sliding mode control for automatic. Pdf fractional order sliding mode control of a class of second. So far, various modern control methods, including nonlinear pid control, sliding mode control 14,15, predictive control, and fuzzy control, have been applied for the stabilization and suppression on nonlinear and chaotic vibrations of various fractional order. First, a new fractional order disturbance observer is designed to estimate the fractional order differential of the mismatched disturbance directly.
Research article fractionalorder terminal slidingmode. This paper presents fractional order fixedtime nonsingular terminal sliding mode control for stabilization and synchronization of fractional order chaotic systems with uncertainties and disturbances. The discontinuous term in the higher order sliding mode control approach is integrated, thus the chattering effect is minimized in the process without altering the system robustness. Fuzzy fractional order sliding mode controller for nonlinear systems. Ratnavelu, sliding mode control for generalized robust synchronization of mismatched fractional order dynamical systems and its application to secure transmission of voice, isa trans. Fractional order sliding mode control via disturbance.
For example, in 14, a control strategy called fractional order terminal sliding mode control fotsmc is designed for a class of uncertain dynamical systems. In this paper, a sliding mode control law is designed to control chaos in fractional order unified chaotic systems. The main results of this paper are reported in section 4. The controller was designed based on the combination of the back. This paper proposes a fractional order integral sliding mode control with the order 0 order nonlinear sliding mode controller and improves its performance with fractional order calculus. Fractional fuzzy adaptive slidingmode control of a 2dof. A fractional order sliding mode control fosmc is proposed in this paper for an integer 1 second order nonlinear system with an unknown additive perturbation term. Pdf download for fixedtime fractionalorder sliding mode control for.
Aug 27, 2019 the controller design based on reduced. Robust synchronization of chaotic systems with fractional order with adaptive fuzzy sliding mode control toktam motamedifar. Fractionalorder fast terminal sliding mode control for a. Research article fractionalorder fast terminal sliding mode.
A reaching phase free approach article pdf available in asian journal of control july 2019 with 217 reads how we measure reads. Dec 19, 2018 in this article, an advanced controller called a back. This paper proposes the fractional order modeling for sliding mode control of a complex fourdimensional energysaving and emissionreduction system esers. Fractional order sliding mode control with reaching law approach. Adaptive fractional order terminal sliding mode control of. Majid roohi, mohammadhassan khooban, zahra esfahani, mohammad pourmahmood aghababa and tomislav dragicevic 2019. Numerical simulation results are shown in section to demonstrate the effectiveness of the developed tracking control scheme. Fractionalorder sliding mode control of uncertain quavs.
The aim of this study is to develop an adaptive fuzzy fractional order sliding mode control affsmc strategy to control the mover position of a permanent magnet linear synchronous motor pmlsm system. A switching sliding mode control technique for chaos suppression of fractional order complex systems. The proposed fosmc is generally applicable for both fractional order systems and integer order systems. Pdf slidingmode controller based on fractional order calculus. First, we derive a dimensionless fractional order model of the induction motor from the wellknown integer model of the induction motor. In order to achieve the goal, the sliding mode control scheme only using output information is designed, and at the same time, the structures of a sliding mode surface and a sliding mode controller. The proposed fo smesc, involving an fo derivative function 0dtqsgne,0. Pdf design of fractionalorder sliding mode controller fsmc for. This site is like a library, use search box in the widget to get ebook that you want. It integrates the theory model with experimental result effectively. The initial two chapters and some parts of the third chapter are written in tutorial fashion, presenting all the basic concepts of fractional order system and a brief overview of sliding mode control of fractional order systems. Research article fractionalorder fast terminal sliding. This paper proposes a fractionalorder integral sliding mode control with the order 0 oct 25, 2017 abstract. Synchronization of fractionalorder hyperchaotic systems.
In recent years, with the development of fractional controls, many scholars have employed fractionalorder smc fosmc to overcome these. Fractionalorder terminal slidingmode control for buck dc. The proposed fractionalorder smc controls the terminal voltage of the. The proposed fractional order sliding mode control consists of two sub sliding manifolds that are defined separately for the actuated and unactuated states. In this paper, a novel adaptive interval type2 fuzzy sliding mode control aitfsmc is proposed to handle high level uncertainties facing the fuzzy logic controller flc in dynamic fractional order chaotic systems such as uncertainties in inputs to. However, only a few researchers tried applying it to sts. Stabilization and control of fractional order systems.
In this paper, a novel robust fractional order sliding mode fosmbased state constrained control scheme is designed for uncertain quadrotor uavs quavs. Based on the sliding mode control method, the states of the fractional order system have been stabled, even if the system with. Fractional order exponential type discretetime sliding. Abstract in this paper, the issue of chaos control and synchronization problems of two systems of fractional order with adaptive fuzzy sliding model has been. Pdf a fractional order sliding mode control fosmc is proposed in this paper for an integer second order nonlinear system with an unknown additive. Design of fractional order sliding mode controller for chaos. The stability of the closed loop is ensured using fractional order lyapunov theorem. Fractionalorder sliding mode control of uncertain quavs with. Index termsadaptive fuzzy control, fractional order control, sliding mode control. A novel sliding mode controller smc with nonlinear fractional order pid sliding surface based on a novel extended state observer for the speed operation of a surfacemounted permanent magnet synchronous motor spmsm is proposed in this paper. Sliding mode control of fractional order systems request pdf. In the next section, we will discuss how to design the appropriate switching surface and the fractional order fast terminal sliding mode controller. Output power quality enhancement of pmsg with fractional. This paper studies a new fractional order nonsingular terminal sliding mode control ftsmc, in which all parameters of controller and observer are optimized by a modified grey wolf optimization.
Fpga implementation of adaptive sliding mode control and. In this paper, we investigate the control of 4d nonautonomous fractional order uncertain model of a pi speedregulated currentdriven induction motor foim using a fractional order adaptive sliding mode controller foasmc. Fractionalorder modeling and sliding mode control of energy. Illustrative examples are presented to demonstrate the performance of the proposed design method. Pdf pthis paper presents a new approach of fractional order sliding mode controllers fosmc for a class of nonlinear systems which have a single. The proposed fractional order sliding mode speed controller is designed with a sliding surface that consists of both fractional differentiation and integration.
Practical tracking control of linear motor with adaptive. This study presents a novel fractional hierarchical terminal sliding mode control smc scheme for finitetime stabilisation of nonautonomous fractional order dynamical systems. This, in turn, generates a control scheme to make all states move toward to the desired states. Sliding mode controller design with fractional order di. Two fractional order sliding mode controller are employed to control the msc and gsc. Compared with conventional fast nonsingular smc, the proposed approach, with a fo integral sliding surface and the adaptive switching input, can obtain higher convergence precision, even though the motion control.
Fractional order fixedtime nonsingular terminal sliding. Compared with conventional fast nonsingular smc, the proposed approach, with a fo integral sliding surface and the adaptive switching input, can obtain higher convergence precision, even though the motion control system suffers from. Fractional order control systems download ebook pdf. It is shown that when the order of ftsmc is one, the nite time taken to attain to the equilibrium point o f the. Fractional order slide mode control sliding mode finite time stabilization fraction order differential equation these keywords were added by machine and not by the authors. In this strategy, a fractional order sliding surface is proposed, the corresponding control law is derived based on lyapunov stability theory to guarantee the sliding condition, and the finite time stability of the closeloop system is also. This control scheme shows fascinating features like a decrease in the overshoot and the settling time 272829. Pdf sliding mode control of uncertain fractionalorder.
The other parts contain deal with robust finite time stability of fractional order systems, integral sliding mode control of fractional order systems, cooperative control of multiagent. Passivitybased fractionalorder slidingmode control design. Besides, fractional order sliding mode control is also effective to meliorate the perfor mance. A sufficient condition is given to assure the attractiveness to a given sliding surface where trajectory tracking is assured, despite the presence of the perturbation term. Click download or read online button to get fractional order control systems book now. Fractionalorder sliding mode control for deployment of. A fractional order sliding mode control fosmc is proposed in this paper for an integer second order nonlinear system with an unknown additive perturbation term. Synchronization of uncertain fractionalorder duffingholmes. Sliding mode control of uncertain fractionalorder systems. In recent years, fractional order sliding mode control fosmc has been employed to overcome these drawbacks.
This article proposes a novel fractional order adaptive terminal sliding mode control system for both the rotor and grid side converters of the dfig system. This paper develops a fractionalorder sliding mode based extremum seeking controller fo smesc for the optimization of nonlinear systems. It is assumed that the fractional order system is disturbed by some model uncertainties and external noises. In particular, the practical parametric uncertainties involving sliding friction, uncertain payload, and disturbance in tracking tasks are considered in this paper. A reaching phase free approach article pdf available in asian journal of control july 2019 with 217. First, a novel fo nonlinear surface based on conformable fo calculus is proposed to design the fo sliding mode controller. Fractionalorder terminal slidingmode control for buck dcdc. In the proposed methodology, the fractional calculus techniques are employed to accurately model the dynamics of the esers, and the fractional order model of the. A novel nonlinear fractional order sliding mode controller is proposed to control the chaotic atomic force microscope system in.
Subsequently, we designed a new fractional order siding mode control via a fractional order disturbance observer. Discretetime fractional order terminal sliding mode tracking. Fractionalorder sliding mode based extremum seeking. Fractionalorder sliding mode control for a class of uncertain. Research article fractional order sliding mode control for a class of uncertain nonlinear systems based on lqr dong zhang1, lin cao2 and shuo tang1 abstract this article presents a new fractional order sliding mode control fosmc strategy based on a linearquadratic regulator. In the next section, we will discuss how to design the appropriate switching surface and the fractionalorder fast terminal sliding mode controller.
In order to achieve the goal, the sliding mode control scheme only using output information is designed, and at the same time, the structures of a sliding mode surface and a sliding mode controller are also constructed. Introduction t he notion of adaptiveness has been a core issue in many instances in. Pdf fractionalorder terminal slidingmode control for. Subsequently, a fractional order sliding mode control. This paper proposes a practical adaptive fractional order fo terminal sliding mode control smc strategy for tracking control of the linear motor. By selecting the fractional order sliding surface, the laws of control are designed. Finally, the result and conclusion will be concluded in section 4.
Fractional order sliding mode control for tethered satellite. Fractional order sliding mode control of a class of second order perturbed nonlinear systems. Under the presented framework, the overall quav system is decoupled into translational subsystem and rotational. The lyapunov function based stability analysis is conducted.
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