Sliding mode observer-based adaptive control of uncertain singular systems with unknown time-varying delay and nonlinear input

2021 ◽  
Author(s):  
Xiaoliang Tang ◽  
Zhen Liu
Keyword(s):  
Adaptive Control ◽  
Sliding Mode ◽  
Singular Systems ◽  
Sliding Mode Observer ◽  
Time Varying ◽  
Time Varying Delay ◽  
Nonlinear Input ◽  
Uncertain Singular Systems ◽  
Varying Delay

Delay-dependent Robust H∞ Control for Uncertain Singular Systems with Time-varying Delay⋆

2008 ◽  
Vol 41 (2) ◽  
pp. 5874-5879 ◽  
Author(s):  
Huijiao WANG ◽  
Anke XUE ◽  
Renquan LU ◽  
Xiaodong ZHAO ◽  
Xiaohui ZHOU
Keyword(s):  
Singular Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Uncertain Singular Systems ◽  
Delay Dependent ◽  
Varying Delay

ROBUST H∞ FILTERING FOR A CLASS OF NONLINEAR UNCERTAIN SINGULAR SYSTEMS WITH TIME-VARYING DELAY

2013 ◽  
Vol 11 (05) ◽  
pp. 1350035 ◽  
Author(s):  
JIQING QIU ◽  
ZIRUI XING ◽  
LI LI ◽  
MOHAN YANG ◽  
YI LI
Keyword(s):  
Lyapunov Stability ◽  
Stability Theory ◽  
Singular Systems ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Varying Delay ◽  
Satisfy Lipschitz Condition ◽  
Uncertain Singular Systems ◽  
Varying Delay

This paper focuses on the problem of robust H∞ filtering for a class of nonlinear uncertain singular systems with time-varying delay. First of all, the definition of robust H∞ filter is given. Considering the nonlinear disturbance link to uncertain singular systems with time-varying delay effects, the design idea of full-order robust H∞ filter based on the Lyapunov stability theory is presented. Under the condition that nonlinear uncertain functions satisfy Lipschitz condition, the sufficient condition under which nonlinear uncertain delayed filtering error singular systems are asymptotically stable and satisfy the robust H∞ performance is obtained by Lyapunov stability theory and linear matrix inequality (LMI) methods. Finally, two numerical examples are given to show the applicability of the proposed method.

Design of a Class of Sliding Mode Observer with Time-Varying Delay

2014 ◽  
Vol 18 (1) ◽  
pp. 406-414 ◽  
Author(s):  
Fa-Xiang Xie ◽  
Bo-Hai Ji
Keyword(s):  
Sliding Mode ◽  
Sliding Mode Observer ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay
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