A switching sliding mode control technique for chaos suppression of fractional-order complex systems

2019 ◽  
Vol 41 (10) ◽  
pp. 2932-2946 ◽  
Author(s):  
Majid Roohi ◽  
Mohammad-Hassan Khooban ◽  
Zahra Esfahani ◽  
Mohammad Pourmahmood Aghababa ◽  
Tomislav Dragicevic
Keyword(s):  
Sliding Mode Control ◽  
Power Systems ◽  
Fractional Order ◽  
Sliding Mode ◽  
Singular Control ◽  
Control Technique ◽  
Sliding Surface ◽  
Suggested Approach ◽  
Mode Control ◽  
Chaos Suppression

Switching sliding mode control (SSMC) can be utilized as a robust control technique, which is appropriate for the control of highly non-linear power systems like chaotic systems. The present study proposes a switching sliding mode control technique for control and chaos suppression of non-autonomous fractional-order (FO) nonlinear power systems with uncertainties and external disturbances. In the first step, a novel fractional switching sliding surface is introduced as well as its stability analysis to the origin is demonstrated. In the second step, based on the fractional version of the Lyapunov stability theory, a robust non-singular control law is designed to ensure the convergence of the system trajectories to the proposed sliding surface. Next, the proposed SSMC approach is utilized for designing a single input switching control technique for the stabilization of a class of 3D FO chaotic power systems. In order to evaluate the effectiveness and robustness of the suggested approach in practice, two examples including control and the stabilization of FO chaotic electric motors are illustrated.

A diffusive representation approach toward H∞ sliding mode control design for fractional-order Markovian jump systems

2020 ◽  
pp. 095965182097525
Author(s):  
Majid Parvizian ◽  
Khosro Khandani
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Suggested Approach ◽  
Stabilizing Controller ◽  
Mode Control ◽  
Jump Systems ◽  
Diffusive Representation

This article proposes a new [Formula: see text] sliding mode control strategy for stabilizing controller design for fractional-order Markovian jump systems. The suggested approach is based on the diffusive representation of fractional-order Markovian jump systems which transforms the fractional-order system into an integer-order one. Using a new Lyapunov–Krasovskii functional, the problem of [Formula: see text] sliding mode control of uncertain fractional-order Markovian jump systems with exogenous noise is investigated. We propose a sliding surface and prove its reachability. Moreover, the linear matrix inequality conditions for stochastic stability of the resultant sliding motion with a given [Formula: see text] disturbance attenuation level are derived. Eventually, the theoretical results are verified through a simulation example.

scholarly journals Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic System

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Junbiao Guan ◽  
Kaihua Wang
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Chaotic System ◽  
Secure Communication ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Control Technique ◽  
Order System ◽  
Mode Control ◽  
The Stability

A new fractional-order chaotic system is addressed in this paper. By applying the continuous frequency distribution theory, the indirect Lyapunov stability of this system is investigated based on sliding mode control technique. The adaptive laws are designed to guarantee the stability of the system with the uncertainty and external disturbance. Moreover, the modified generalized projection synchronization (MGPS) of the fractional-order chaotic systems is discussed based on the stability theory of fractional-order system, which may provide potential applications in secure communication. Finally, some numerical simulations are presented to show the effectiveness of the theoretical results.

An auxiliary control aided modified sliding mode control for a PMSG based wind energy conversion system

2019 ◽  
Vol 16 (6) ◽  
pp. 725-736
Author(s):  
Shubhranshu Mohan Parida ◽  
Pravat Kumar Rout ◽  
Sanjeeb Kumar Kar
Keyword(s):  
Sliding Mode Control ◽  
Reactive Power ◽  
Sliding Mode ◽  
Synchronous Generator ◽  
Superior Performance ◽  
Control Technique ◽  
Sliding Surface ◽  
Content Type ◽  
Wind Energy Conversion ◽  
Mode Control

Purpose This study proposes a modified sliding mode control technique having a proportional plus integral (PI) sliding surface aided by auxiliary control applied to a wind turbine driven permanent magnet synchronous generator. This paper aims to realize real and reactive power control, keeping the voltage under the desired limit during transients. Design/methodology/approach First, a PI sliding surface type sliding mode control (PISMC) is formulated, which is capable of dragging the system to the desired state and stability. Then a saturation function-based auxiliary controller is incorporated with PISMC to enhance its performance during wind speed and system parameter variations. Findings The proposed controller can tackle the problems faced while using a PI controller and the conventional sliding mode controller (CSMC) such as lack of robustness and requirement of unnecessary large control signals to overcome the parametric uncertainties and problem of chattering. Originality/value To justify the superior performance of the proposed controller in terms of robustness, reliability and accuracy a comparative study is done with the CSMC and PI controllers. The simulations are performed using MATLAB.

scholarly journals Adaptive Neural Network Sliding Mode Control for Nonlinear Singular Fractional Order Systems with Mismatched Uncertainties

2020 ◽  
Vol 4 (4) ◽  
pp. 50
Author(s):  
Xuefeng Zhang ◽  
Wenkai Huang
Keyword(s):  
Neural Network ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Sliding Mode ◽  
Rbf Neural Network ◽  
Linear Matrix ◽  
Fractional Order Systems ◽  
Sliding Surface ◽  
Mode Control ◽  
Necessary And Sufficient

This paper focuses on the sliding mode control (SMC) problem for a class of uncertain singular fractional order systems (SFOSs). The uncertainties occur in both state and derivative matrices. A radial basis function (RBF) neural network strategy was utilized to estimate the nonlinear terms of SFOSs. Firstly, by expanding the dimension of the SFOS, a novel sliding surface was constructed. A necessary and sufficient condition was given to ensure the admissibility of the SFOS while the system state moves on the sliding surface. The obtained results are linear matrix inequalities (LMIs), which are more general than the existing research. Then, the adaptive control law based on the RBF neural network was organized to guarantee that the SFOS reaches the sliding surface in a finite time. Finally, a simulation example is proposed to verify the validity of the designed procedures.

Fractional-order sliding mode control for deployment of tethered spacecraft system

2019 ◽  
Vol 233 (13) ◽  
pp. 4721-4734 ◽  
Author(s):  
Zhiqiang Ma ◽  
Zheng H Zhu ◽  
Guanghui Sun
Keyword(s):  
Steady State ◽  
Sliding Mode Control ◽  
Fractional Order ◽  
Controller Design ◽  
Sliding Mode ◽  
Sliding Surface ◽  
Mode Control ◽  
Tethered Spacecraft ◽  
Integral Sliding Surface ◽  
Steady State Performance

This paper proposes a fractional-order integral sliding mode control with the order 0 <  ν < 1 to stabilize the deployment of tethered spacecraft system with only tension regulation. The work in this paper is partially based on integer-order nonlinear sliding mode controller and improves its performance with fractional-order calculus. The proposed scheme makes use of integral sliding surface to obtain smaller convergence regions of state errors, and the fractional derivative is synthesized to enhance the flexibility of controller design by fining parameters for better dynamic and steady-state performance. Fractional-order observers help to eliminate external disturbances while the adaptive law is presented to remove the adverse effect in stability analyses, and fractional-order uniform ultimate boundedness is proved to guarantee the existence of the proposed sliding surface. According to theoretical analyses, the fractional order will indeed affect the dynamic and steady-state performance of control system, and the proposed method will be verified in numerical simulations compared with the nonlinear sliding mode counterpart.

A novel non-singular terminal sliding mode control combined with integral sliding surface for perturbed quadrotor

2021 ◽  
pp. 095965182110647
Author(s):  
Moussa Labbadi ◽  
Mohamed Djemai ◽  
Sahbi Boubaker
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Control Technique ◽  
Terminal Sliding Mode Control ◽  
Sliding Surface ◽  
Proportional Integral Derivative ◽  
Terminal Sliding Mode ◽  
Proportional Integral ◽  
Mode Control

In this article, a new dynamic non-singular terminal sliding mode control technique for a quadrotor system subjected to external disturbances is evaluated. The offered control approach is based on non-singular terminal sliding mode controller combined with proportional–integral–derivative sliding surface to improve the performance. The proposed controller is formulated using the Lyapunov theory which ensured the existence of the sliding mode surfaces in finite time. Furthermore, the chattering problem, caused by the switching position and attitude laws, has been reduced using the proposed controller. Moreover, a high-precision performance trajectory tracking can be obtained. The problem of the disturbances is addressed using the suggested controller. Simulation results show the feasibility and efficiency of the non-singular terminal sliding mode control-proportional–integral–derivative proposed approach.

scholarly journals Synchronization of Two Fractional-Order Chaotic Systems via Nonsingular Terminal Fuzzy Sliding Mode Control

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Xiaona Song ◽  
Shuai Song ◽  
Ines Tejado Balsera ◽  
Leipo Liu ◽  
Lei Zhang
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Finite Time ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Sliding Surface ◽  
Fuzzy Sliding Mode Control ◽  
Mode Control ◽  
Fuzzy Sliding Mode ◽  
Terminal Sliding Surface

The synchronization of two fractional-order complex chaotic systems is discussed in this paper. The parameter uncertainty and external disturbance are included in the system model, and the synchronization of the considered chaotic systems is implemented based on the finite-time concept. First, a novel fractional-order nonsingular terminal sliding surface which is suitable for the considered fractional-order systems is proposed. It is proven that once the state trajectories of the system reach the proposed sliding surface they will converge to the origin within a given finite time. Second, in terms of the established nonsingular terminal sliding surface, combining the fuzzy control and the sliding mode control schemes, a novel robust single fuzzy sliding mode control law is introduced, which can force the closed-loop dynamic error system trajectories to reach the sliding surface over a finite time. Finally, using the fractional Lyapunov stability theorem, the stability of the proposed method is proven. The proposed method is implemented for synchronization of two fractional-order Genesio-Tesi chaotic systems with uncertain parameters and external disturbances to verify the effectiveness of the proposed fractional-order nonsingular terminal fuzzy sliding mode controller.

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