A generic design methodology for sliding mode control of switched systems

2006 ◽  
Vol 65 (9) ◽  
pp. 1751-1772 ◽  
Author(s):  
P.Y. Richard ◽  
H. Cormerais ◽  
J. Buisson
Keyword(s):  
Sliding Mode Control ◽  
Switched Systems ◽  
Design Methodology ◽  
Sliding Mode ◽  
Mode Control ◽  
Generic Design

Adaptive sliding mode control for stochastic switched systems with actuator faults

2018 ◽  
Vol 41 (7) ◽  
pp. 1880-1887
Author(s):  
Yonghui Liu
Keyword(s):  
Sliding Mode Control ◽  
Switched Systems ◽  
Sliding Mode ◽  
Sufficient Conditions ◽  
Adaptive Sliding Mode Control ◽  
Sliding Surface ◽  
Actuator Faults ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Actuator Degradation

The problem of adaptive sliding mode control is considered for a class of stochastic switched systems with actuator degradation. In this work, the input matrix for each subsystem is unnecessarily the same. Thus, a weighted sum approach of the input matrices is introduced such that a common sliding surface is designed. By online estimating the loss of effectiveness of the actuators, an adaptive sliding mode controller is designed. It can not only compensate the effect of the actuator degradation effectively, but also reduce the conservatism that the bound of the actuator faults should be known in advance. Moreover, it is shown that the reachability of the sliding surface can be guaranteed. Furthermore, sufficient conditions on the mean-square exponential stability of the sliding mode dynamics are obtained via the average dwell time method. Finally, a numerical simulation example is given to demonstrate the effectiveness of the proposed method.

Sliding mode control of discrete-time switched systems with time-delay

2013 ◽  
Vol 350 (1) ◽  
pp. 19-33 ◽  
Author(s):  
Xiaoxi Yu ◽  
Chunfeng Wu ◽  
Fangzhou Liu ◽  
Ligang Wu
Keyword(s):  
Time Delay ◽  
Sliding Mode Control ◽  
Discrete Time ◽  
Switched Systems ◽  
Sliding Mode ◽  
Mode Control

scholarly journals Sliding Mode Control Based on Observer for a Class of State-Delayed Switched Systems with Uncertain Perturbation

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Zhaolan He ◽  
Xue Wang ◽  
Zongwei Gao ◽  
Jingjie Bai
Keyword(s):  
Sliding Mode Control ◽  
Switched Systems ◽  
Sliding Mode ◽  
Estimation Error ◽  
Matching Condition ◽  
State Observer ◽  
Sliding Surface ◽  
State Variables ◽  
Parameter Uncertainties ◽  
Mode Control

This paper is concerned with a state observer-based sliding mode control design methodology for a class of continuous-time state-delayed switched systems with unmeasurable states and nonlinear uncertainties. The advantages of the proposed scheme mainly lie in which it eliminates the need for state variables to be full accessible and parameter uncertainties to be satisfied with the matching condition. Firstly, a state observer is constructed, and a sliding surface is designed. By matrix transformation techniques, combined with Lyapunov function and sliding surface function, a sufficient condition is given to ensure asymptotic stability of the overall closed-loop systems composed of the observer dynamics and the estimation error dynamics. Then, reachability of sliding surface is investigated. At last, an illustrative numerical example is presented to prove feasibility of the proposed approaches.

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