Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities

Jin Zhu, Hong-Sheng Xi, Hai-Bo Ji and Bing Wang

Discrete Dynamics in Nature and Society, 2006, vol. 2006, 1-18

Abstract:

Robust adaptive tracking problems for a class of Markovian jump parametric-strict-feed-back systems with both parametric uncertainty and unknown nonlinearity are investigated. The unknown nonlinearities considered herein lie within some “bounding functions,†which are assumed to be partially known. By using a stochastic Lyapunov method and backstepping techniques, a parameter adaptive law and a control law were obtained, which guarantee that the tracking error could be within a small neighborhood around the origin in the sense of the fourth moment. Moreover, all signals of the closed-loop system could be globally uniformly ultimately bounded.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:092932

DOI: 10.1155/DDNS/2006/92932

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