Robust H ∞ control of uncertain singular systems based on equivalent‐input‐disturbance approach

2019 ◽  
Vol 22 (5) ◽  
pp. 2071-2079 ◽  
Author(s):  
Fang Gao ◽  
Wenbin Chen ◽  
Min Wu ◽  
Jinhua She
Keyword(s):  
Singular Systems ◽  
Input Disturbance ◽  
Uncertain Singular Systems ◽  
Equivalent Input Disturbance

Disturbance rejection using SMC-based-equivalent-input-disturbance approach

2022 ◽  
Vol 418 ◽  
pp. 126839
Author(s):  
Xiang Yin ◽  
Jinhua She ◽  
Min Wu ◽  
Daiki Sato ◽  
Kouhei Ohnishi
Keyword(s):  
Disturbance Rejection ◽  
Input Disturbance ◽  
Equivalent Input Disturbance

Robust PD State Feedback Controller Design for Uncertain Singular Systems

2011 ◽  
Vol 403-408 ◽  
pp. 3813-3818
Author(s):  
Jian Wu Zhu ◽  
Yuan Chun Ding
Keyword(s):  
State Feedback ◽  
Controller Design ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
State Feedback Controller ◽  
Closed Loop Systems ◽  
Uncertain Singular Systems ◽  
Parameter Dependent ◽  
Robust Stability And Stabilization

This paper is concerned with the problem of robust stability and stabilization of singular systems with uncertainties in both the derivative and state matrices. By using a parameter dependent Lyapunov function, we derive the LMI-based sufficient conditions for the stabilization of the singular systems. Secondly, by solving these LMIs, a proportional plus derivative (PD) state feedback controller is designed for the closed-loop systems to be quadratically normal and quadratically stable (QNQS). Finally, the numerical example is given to show the effectiveness of the proposed theorems.

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