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Polynomial robust control design for uncertain systems

✍ Scribed by M.C. Han; Y.H. Chen

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
450 KB
Volume
28
Category
Article
ISSN
0005-1098

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✦ Synopsis

We consider the problem of stabilizing a class of nonlinear uncertain systems. The system possesses (possibly fast) time-varying uncertainty which lies within a prescribed set. No statistical information of the uncertainty is imposed. A new robust control design which ensures practical stability is proposed. This control invokes a polynomial-type dependent gain provided the uncertainty is also polynomially bounded. Practical stability is automatically assured if the order of the polynomial in the control is chosen high enough. The bound of uncertainty does not need to be known in this case. Furthermore, the system performance can be strengthened to be asymptotic stability if the uncertainty bound does not have any constant offset.

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## Abstract The problem of robust stabilization for uncertain dynamic time‐delay systems is considered. Firstly a class of time‐delay systems with uncertainties bounded by high‐order polynomials and unknown coefficients are considered. The corresponding controller is designed by employing adaptive