A sliding mode control with nonlinear fractional order pid. Fractionalorder fast terminal sliding mode control for 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. This paper introduces a novel fractional fast terminal sliding mode control strategy for a class of dynamical systems with uncertainty. Pdf slidingmode controller based on fractional order calculus. Conformable fractional order sliding mode control for a class. Pdf pthis paper presents a new approach of fractional order sliding mode controllers fosmc for a class of nonlinear systems which have a single. 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.
Highperformance fractional order terminal sliding mode. Fractional order terminal sliding mode control for the buck converter. Fractional order sliding mode controller fosmc design the sliding mode control strategy is divided into three steps such as. Two strategies for fractional sliding mode control of integer order.
A fractional order switching manifold is proposed, and the corresponding control law is formulated based. Precision motion control of permanent magnet linear. By selecting the fractional order sliding surface, the laws of control are designed. Fractional order exponential type discretetime sliding mode. 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. 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. 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. A reaching phase free approach article pdf available in asian journal of control july 2019 with 217. 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. Sliding mode control of fractional order system to design a sliding mode controller, a sliding surface must be primarily designed. This, in turn, generates a control scheme to make all states move toward to the desired states. Fractional order sliding mode control of a class of second order perturbed nonlinear systems.
Sliding mode control approaches to the robust regulation of linear multivariable fractionalorder dynamics. Fractionalorder sliding mode control for a class of. Due to the good capability for counteracting sliding mode chattering, we adopt the following switching control law to guarantee the existence of sliding mode. Fractional order exponential type discretetime sliding. Research article fractionalorder fast terminal sliding mode. 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 study, the backstepping method integrated with the fractional. First, a new smooth and derivable nonlinear function with improved continuity and derivative is designed to replace the traditional. The fractionalorder terminal slidingmode control ftsmc method has been adopted for controlling the buck converter. Fractional order control systems download ebook pdf. Fractional order sliding mode control with reaching law approach. The main results of this paper are reported in section 4. Fractional order sliding mode control for tethered satellite. Under the presented framework, the overall quav system is decoupled into translational subsystem and rotational subsystem. Stabilization and control of fractional order systems. Application to the trajectory tracking of a quadrotor arturo goveavargas 1, rafael castrolinares 1, manuel a.
The other parts contain deal with robust finite time stability of. The other parts contain deal with robust finite time stability of fractional order systems, integral sliding mode control of fractional order systems, cooperative control. Sliding mode controller design with fractional order di. Fractionalorder sliding mode control for deployment of. 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. Pdf application of fractional order sliding mode control. This paper develops a fractionalorder sliding mode based extremum seeking controller fo smesc for the optimization of nonlinear systems. Discretetime fractional order terminal sliding mode tracking. The proposed fo smesc, involving an fo derivative function 0dtqsgne,0. 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. 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. The proposed fractional order sliding mode control consists of two sub sliding manifolds that are defined separately for the actuated and unactuated states.
Includes a tutorial covering all basic concept of fractional order system and a brief overview of sliding mode control of fractional order system. 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. Pdf fractional order sliding mode control of a class of second. Study on the nonsingular problem of fractionalorder. The controller was designed based on the combination of the back. This paper proposes the fractional order modeling for sliding mode control of a complex fourdimensional energysaving and emissionreduction system esers. 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. This control scheme shows fascinating features like a decrease in the overshoot and the settling time 272829.
Fixedtime fractionalorder sliding mode control for nonlinear power. The proposed fractionalorder smc controls the terminal voltage of the. Fractional order sliding mode control for tethered. Transactions of the institute of measurement and control, 4110 29322946 doi. Fuzzy fractional order sliding mode controller for nonlinear systems. In the next section, we will discuss how to design the appropriate switching surface and the fractionalorder fast terminal sliding mode controller. Introduction t he notion of adaptiveness has been a core issue in many instances in. The stability of the closed loop is ensured using fractional order lyapunov theorem. A novel nonlinear fractional order sliding mode controller is proposed to control the chaotic atomic force microscope system in. Fractionalorder modeling and sliding mode control of energy. Robust synchronization of fractionalorder uncertain. It integrates the theory model with experimental result effectively.
Ratnavelu, sliding mode control for generalized robust synchronization of mismatched fractional order dynamical systems and its application to secure transmission of voice, isa trans. Fpga implementation of adaptive sliding mode control and. A fractional order sliding mode fosm control is proposed to suppress chattering from power and current signals. This process is experimental and the keywords may be updated as the learning algorithm improves. First, a new fractional order disturbance observer is designed to estimate the fractional order differential of the mismatched disturbance directly. 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. 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. Numerical simulation results are shown in section to demonstrate the effectiveness of the developed tracking control scheme. 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. First, a novel fo nonlinear surface based on conformable fo calculus is proposed to design the fo sliding mode controller.
Numerical simulations prove that gafopid controllers are effective compared to foasmc for chaos control in fractional order systems. Sliding mode control based on fractional order calculus for. Robust synchronization of fractionalorder uncertain chaotic. The proposed fractional order sliding mode control consists of two subsliding manifolds that are defined separately for the actuated and unactuated states. Sliding mode control of fractional order systems request pdf. Review of fractional order terminal sliding mode control fotsmc eorem see. Click download or read online button to get fractional order control systems book now. 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.
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. In the next section, we will discuss how to design the appropriate switching surface and the fractional order fast terminal sliding mode controller. Chaos control in fractional order smart grid with adaptive. Two fractional order sliding mode controller are employed to control the msc and gsc. 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. The proposed method also shows good control performance and reduces the. Fractionalorder terminal slidingmode control for buck dc. Fractionalorder terminal slidingmode control for buck dcdc. Fractional order sliding mode control with reaching law.
In this article, an adaptive sliding mode technique based on a fractional. Based on the sliding mode control method, the states of the fractional order system have been stabled, even if the system with. 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. Pdf a fractional order sliding mode control fosmc is proposed in this paper for an integer second order nonlinear system with an unknown additive. Fractional order sliding mode control via disturbance.
Under the presented framework, the overall quav system is decoupled into translational subsystem and rotational. Research article fractionalorder fast terminal sliding. Model uncertainties and wind gust disturbances are taken into consideration. Synchronization of fractionalorder hyperchaotic systems. Fractional fuzzy adaptive slidingmode control of a 2dof. The simulation results of its application to a fractional inverted pendulum system is demonstrated.
Illustrative examples are presented to demonstrate the performance of the proposed design method. A switching sliding mode control technique for chaos suppression of fractional order complex systems. For example, in 14, a control strategy called fractional order terminal sliding mode control fotsmc is designed for a class of uncertain dynamical systems. Adaptive fractional order terminal sliding mode control of. In this paper, a novel robust fractional order sliding mode fosmbased state constrained control scheme is designed for uncertain quadrotor uavs quavs. Two strategies for fractional sliding mode control of integer order systems by system augmentation.
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. 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. Pdf fractionalorder sliding mode control for dstatcom. Subsequently, we designed a new fractional order siding mode control via a fractional order disturbance observer.
The terminal sliding surface function is expressed as a fractional order differential equation that is obtained in the form 21 where. 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. A reaching phase free approach article pdf available in asian journal of control july 2019 with 217 reads how we measure reads. 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. A sufficient condition 2 is given to assure the attractiveness to a given sliding. Fuzzy fractional order sliding mode control for automatic. Finally, the result and conclusion will be concluded in section 4. This article proposes a novel fractional order sliding mode control for a class of fractional order and integer order systems with mismatched disturbances. Index termsadaptive fuzzy control, fractional order control, sliding mode control.
The proposed fosmc is generally applicable for both fractional order systems and integer order systems. Dec 19, 2018 in this article, an advanced controller called a back. In recent years, with the development of fractional controls, many scholars have employed fractionalorder smc fosmc to overcome these. First, we derive a dimensionless fractional order model of the induction motor from the wellknown integer model of the induction motor. Practical tracking control of linear motor with adaptive. Research article fractionalorder terminal slidingmode. Fractional sliding mode control is the use of sliding mode control with fractional. Ortigueira, introduction to fractional linear systems. Fractional order sliding mode control of a class of second. 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. Robust synchronization of chaotic systems with fractional. In particular, the practical parametric uncertainties involving sliding friction, uncertain payload, and disturbance in tracking tasks are considered in this paper.
Sliding mode control, fractional order di erentiation, unstable systems, time delay 1. In 23 a maximum power point tracking based higher order sliding mode control is proposed for the dfig based wind energy system. Majid roohi, mohammadhassan khooban, zahra esfahani, mohammad pourmahmood aghababa and tomislav dragicevic 2019. 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. Design of fractional order sliding mode controller for chaos. This paper mainly focuses on the robust synchronization issue for driveresponse fractional order chaotic systems focs when they have unknown parameters and external disturbances. In this paper, a sliding mode control law is designed to control chaos in fractional order unified chaotic systems. In section 2, a brief summary of fractional order calculus, fractional order systems and the related lyapunov stability extension for stability analysis are presented. 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. The generator torque is used as the control input to vary the rotor speed in order to maximize energy conversion. Aug 27, 2019 the controller design based on reduced.
Robust fixedtime sliding mode control for fractional. The lyapunov function based stability analysis is conducted. This paper proposes a fractionalorder integral sliding mode control with the order 0 oct 25, 2017 abstract. 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. The proposed fractional order sliding mode speed controller is designed with a sliding surface that consists of both fractional differentiation and integration. Fractionalorder sliding mode control of uncertain quavs with. This paper presents fractional order fixedtime nonsingular terminal sliding mode control for stabilization and synchronization of fractional order chaotic systems with uncertainties and disturbances. This study presents a novel fractional hierarchical terminal sliding mode control smc scheme for finitetime stabilisation of nonautonomous fractional order dynamical systems. First, a novel fractional order terminal sliding mode surface is proposed to guarantee the fixedtime convergence of system states along the sliding surface.
Pdf download for fixedtime fractionalorder sliding mode control for. It is shown that when the order of ftsmc is one, the nite time taken to attain to the equilibrium point o f the. 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. 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. However, only a few researchers tried applying it to sts. First, the mathematical model of the pmlsm is investigated by using the principle of field oriented control. In recent years, fractional order sliding mode control fosmc has been employed to overcome these drawbacks. This site is like a library, use search box in the widget to get ebook that you want. 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. Fractionalorder sliding mode control of uncertain quavs. 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. In this study, a fractionalorder sliding mode controller is effectively.
Fractional order fixedtime nonsingular terminal sliding. Presents original and uptodate work on stabilization and control design for continuous and discrete fractional order systems. Synchronization of uncertain fractionalorder duffingholmes. Sliding mode control of uncertain fractionalorder systems. It is assumed that the fractional order system is disturbed by some model uncertainties and external noises.
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