Robust Passivity and Feedback Design for Nonlinear Stochastic Systems with Structural Uncertainty

Zhongwei Lin, Jizhen Liu and Yuguang Niu

Mathematical Problems in Engineering, 2013, vol. 2013, 1-9

Abstract:

This paper discusses the robust passivity and global stabilization problems for a class of uncertain nonlinear stochastic systems with structural uncertainties. A robust version of stochastic Kalman-Yakubovitch-Popov (KYP) lemma is established, which sustains the robust passivity of the system. Moreover, a robust strongly minimum phase system is defined, based on which the uncertain nonlinear stochastic system can be feedback equivalent to a robust passive system. Following with the robust passivity theory, a global stabilizing control is designed, which guarantees that the closed-loop system is globally asymptotically stable in probability (GASP). A numerical example is presented to illustrate the effectiveness of our results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:460348

DOI: 10.1155/2013/460348

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