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Stabilization of nonlinear systems on the basis of the method of the Lyapunov function with the nonlinearity and disturbance estimation

โœ Scribed by G. A. Rustamov; S. G. Gardashov; R. G. Rustamov


Book ID
111496408
Publisher
Allerton Press Inc
Year
2010
Tongue
English
Weight
183 KB
Volume
44
Category
Article
ISSN
0146-4116

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In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn't exist positive definite quadratic Lyapunov function that proves stability of the system, but doesn't show that the system isn't stable.

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In the Lyapunov approach employed in this paper, known in the literature as Lyapunov control, or minmar control, robust, global uniform asymptotic stability is achieved by a discontinuous control law which ensures that the Lyapunov derivative is negative despite bounded uncertainty. For that, it is