Robust Decentralized Stabilization of Large-Scale Delay Systems Via Sliding Mode Control

1997 ◽  
Vol 119 (2) ◽  
pp. 307-312 ◽  
Author(s):  
Jun-Juh Yan ◽  
Jason Sheng-Hong Tsai ◽  
Fan-Chu Kung
Keyword(s):  
Sliding Mode Control ◽  
Large Scale ◽  
Sliding Mode ◽  
Delay Systems ◽  
Sliding Mode Controller ◽  
Stabilization Problem ◽  
Large Scale Systems ◽  
Decentralized Stabilization ◽  
Mode Control ◽  
The Stability

The present paper is concerned with the decentralized stabilization problem of large-scale systems with delays in the intercon-nections using sliding mode control. A robust stability condition of the sliding mode and a robust decentralized sliding mode controller are newly derived for large-scale delay systems. Also a proportional-integral sliding mode is designed to make it easy to assure the stability of dynamics in the sliding mode.

scholarly journals Quantized Feedback Control Design of Nonlinear Large-Scale Systems via Decentralized Adaptive Integral Sliding Mode Control

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Yan-Mei Xue ◽  
Bo-Chao Zheng ◽  
Dan Ye
Keyword(s):  
Sliding Mode Control ◽  
Large Scale ◽  
Sliding Mode ◽  
Adaptive Sliding Mode Control ◽  
Linear Matrix ◽  
Control Law ◽  
Large Scale Systems ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Mode Control

A novel decentralized adaptive integral sliding mode control law is proposed for a class of nonlinear uncertain large-scale systems subject to quantization mismatch between quantizer sensitivity parameters. Firstly, by applying linear matrix inequality techniques, integral-type sliding surface functions are derived for ensuring the stability of the whole sliding mode dynamics and obtaining the prescribed boundedL2gain performance. Secondly, the decentralized adaptive sliding mode control law is developed to ensure the reachability of the sliding manifolds in the presence of quantization mismatch, interconnected model uncertainties, and external disturbances. Finally, an example is shown to verify the validity of theoretical results.

Memoryless Adaptive Decentralized Sliding Mode Control for Uncertain Large-Scale Systems With Time-Varying Delays

2003 ◽  
Vol 125 (2) ◽  
pp. 172-176 ◽  
Author(s):  
Jun-Juh Yan
Keyword(s):  
Sliding Mode Control ◽  
Large Scale ◽  
Composite System ◽  
Sliding Mode ◽  
Robust Stabilization ◽  
Time Varying ◽  
Large Scale Systems ◽  
Mode Control ◽  
Sliding Manifold ◽  
Local Controller

The problem of robust stabilization for uncertain large-scale systems with time-varying delays is investigated through sliding mode control. A memoryless adaptive decentralized sliding mode controller (ADSMC) is developed. The proposed controller ensures the occurrence of the sliding manifold of the composite system. It is worthy of note that the proposed ADSMC does not involve any information of coupling states and is a local controller. Furthermore, it also does not include any delayed state or the upperbounds of uncertainties. Thus, such ADSMC is memoryless, and the limitation of knowing the upperbounds of uncertainties in advance is certainly released. A numerical example is given to verify the validity of the developed memoryless ADSMC.

Multirate Output Feedback Based Stochastic Sliding Mode Control

2016 ◽  
Vol 138 (12) ◽  
Author(s):  
A. J. Mehta ◽  
B. Bandyopadhyay
Keyword(s):  
Sliding Mode Control ◽  
Output Feedback ◽  
Sliding Mode ◽  
Design Procedure ◽  
Sliding Mode Controller ◽  
The Past ◽  
Mode Control ◽  
Noise Covariance ◽  
Bounded Uncertainty ◽  
The Stability

In this paper, a multirate output feedback (MROF) based discrete-time sliding mode control for the stochastic system with slowly varying bounded uncertainty is proposed. The states are estimated by the multirate Kalman filter and are used for designing the stochastic sliding mode controller which guarantee the stability under the bounded uncertainty and the uncertain noise covariance. The proposed algorithm has advantage of computational and implementation simplicity as it requires only the past output and input information. The stochastic sliding band (SSB) is also calculated which is found to be wider as compared to the state feedback case. Finally, the design procedure for stochastic sliding mode controller is demonstrated with an illustrative example.

Robust integral sliding mode control strategy under designed switching rules for uncertain switched linear systems via multiple Lyapunov functions

2019 ◽  
Vol 41 (12) ◽  
pp. 3536-3549 ◽  
Author(s):  
Xiaoyu Zhang
Keyword(s):  
Sliding Mode Control ◽  
Lyapunov Functions ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Multiple Lyapunov Functions ◽  
Integral Sliding Mode Control ◽  
Integral Sliding Mode ◽  
Mode Control ◽  
The Stability ◽  
Stable Matrix

This paper puts forward a switching rule stabilization design of the robust integral sliding mode control for uncertain switched systems. A kind of common robust integral sliding mode (CRISM) is firstly designed and the system matrices of subsystems under the sliding mode comprise a robust stable matrix set. The stability of the switched system (SS) under the sliding mode is then analyzed by multiple Lyapunov functions (MLF) method. Based on the presented design of CRISM, a sliding mode controller is devised so that the sliding mode can be reached. Finally, the correctness of the proposed method is verified through results of numerical and application simulations.

scholarly journals Uncertain Unified Chaotic Systems Control with Input Nonlinearity via Sliding Mode Control

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Zhi-ping Shen ◽  
Jian-dong Xiong ◽  
Yi-lin Wu
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Controller Design ◽  
Sliding Mode ◽  
Control Law ◽  
Sliding Mode Controller ◽  
Stabilization Problem ◽  
Input Nonlinearity ◽  
Mode Control ◽  
Unified Chaotic Systems

This paper studies the stabilization problem for a class of unified chaotic systems subject to uncertainties and input nonlinearity. Based on the sliding mode control theory, we present a new method for the sliding mode controller design and the control law algorithm for such systems. In order to achieve the goal of stabilization unified chaotic systems, the presented controller can make the movement starting from any point in the state space reach the sliding mode in limited time and asymptotically reach the origin along the switching surface. Compared with the existing literature, the controller designed in this paper has many advantages, such as small chattering, good stability, and less conservative. The analysis of the motion equation and the simulation results all demonstrate that the method is effective.

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