1. Decentralised adaptive robust control of uncertain large-scale non-linear dynamical systems with time-varying delays.
- Author
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Wu, H.
- Subjects
- *
ADAPTIVE control systems , *UNCERTAINTY (Information theory) , *TIME-varying systems , *ROBUST control , *FEEDBACK control systems , *NUMERICAL analysis - Abstract
The problem of decentralised adaptive robust stabilisation is considered for a class of uncertain large-scale interconnected non-linear systems with time-varying delays. It is assumed that the upper bounds of the uncertainties and interconnection terms are unknown, and that the time-varying delays are any non-negative continuous and bounded functions, and do not require their derivatives to be less than one. In particular, it is only required that the non-linear interconnection terms, which can also include time-varying delays, are bounded in any non-negative non-linear functions, which are not required to be known for the system designer. For such a class of uncertain large-scale time-delay interconnected non-linear systems, a new method is presented whereby a class of continuous memoryless decentralised local adaptive robust state feedback controllers with a rather simpler structure is proposed. It is also shown that the solutions of uncertain large-scale time-delay interconnected systems can be guaranteed as uniformly exponentially convergent towards a ball that can be as small as desired. Finally, a numerical example is given to demonstrate the validity of the results. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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