Robust L/sub 2/-L∞ filtering for uncertain systems with multiple time-varying state delays

2003 ◽  
Vol 50 (4) ◽  
pp. 594-599 ◽  
Author(s):  
Huijun Gao ◽  
Changhong Wang
Keyword(s):  
Uncertain Systems ◽  
Multiple Time ◽  
Time Varying ◽  
State Delays

Adaptive Sliding Mode Tracking of Nonlinear Plants With Multiple Unknown Time-Varying State Delays

2008 ◽  
Author(s):  
Boris Mirkin ◽  
Per-Olof Gutman ◽  
Yuri Shtessel
Keyword(s):  
Dynamic Systems ◽  
Sliding Mode ◽  
External Disturbance ◽  
Nonlinear Dynamic Systems ◽  
Multiple Time ◽  
Time Varying ◽  
State Delays ◽  
Nonlinear Plants ◽  
Model Reference Adaptive ◽  
Mode Tracking

In this paper, we develop a sliding mode model reference adaptive control (MRAC) scheme for a class of nonlinear dynamic systems with multiple time-varying state delays which is robust with respect to unknown plant delays, to a nonlinear perturbation, and to an external disturbance with unknown bounds. An appropriate Lyapunov-Krasovskii type functional is introduced to design the adaptation algorithms, and to prove stability.

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