Decentralised adaptive robust control of uncertain large-scale interconnected systems with multiple time-varying delays

2012 ◽  
Vol 43 (10) ◽  
pp. 1842-1854 ◽  
Author(s):  
Hansheng Wu
Keyword(s):  
Robust Control ◽  
Large Scale ◽  
Adaptive Robust Control ◽  
Interconnected Systems ◽  
Multiple Time ◽  
Time Varying

Robust Decentralized Adaptive Control for Interconnected Systems With Time Delays

2005 ◽  
Vol 127 (4) ◽  
pp. 656-662 ◽  
Author(s):  
Changchun Hua ◽  
Xinping Guan ◽  
Peng Shi
Keyword(s):  
Time Delays ◽  
Large Scale ◽  
Robust Stabilization ◽  
Interconnected Systems ◽  
Multiple Time ◽  
Time Varying ◽  
Nonlinear Functions ◽  
Feedback Controllers ◽  
Large Scale Systems ◽  
Closed Loop Systems

The problem of robust stabilization for a class of time-varying nonlinear large-scale systems subject to multiple time-varying delays in the interconnections is considered. The interconnections satisfy the match condition, and are bounded by nonlinear functions that may contain a high-order polynomial with a time delay. Without the knowledge of these bounds, we present adaptive state feedback controllers that are continuous and independent of time delays. Based on the Lyapunov stability theorem, we prove that the controllers can render the closed loop systems uniformly ultimately bounded stable. We also apply the result to constructing adaptive feedback controllers to stabilize a class of interconnected systems whose nominal systems are linear. Finally, several examples are given to show the potential of the proposed techniques.

Decentralized Adaptive Robust Control Design: The Uncertainty is Time Varying

1991 ◽  
Vol 113 (3) ◽  
pp. 515-518 ◽  
Author(s):  
Y. H. Chen
Keyword(s):  
Robust Control ◽  
A Priori ◽  
Control Design ◽  
Statistical Information ◽  
Adaptive Robust Control ◽  
Interconnected Systems ◽  
Time Varying ◽  
Adaptive Scheme ◽  
Adaptive Parameter ◽  
Robust Control Design

We consider a class of nonlinear uncertain interconnected systems with time-varying uncertainty. The uncertainty may arise within each system as well as in the interconnections. The uncertainty is assumed bounded but the bound is unknown. No a priori statistical information is imposed. Decentralized adaptive robust control is proposed for each system. The control has two parts. First, an adaptive scheme for the estimation of the bound is constructed. Second, a robust control, which is based on the adaptive parameter, is adopted for each system.

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