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On the Stability and ISS of Nonlinear Singularly Perturbed Control Systems

Author: SunXiaoMing
Tutor: WangZhiMing
School: East China Normal University
Course: Applied Mathematics
Keywords: Singularly perturbed system
CLC: O231.2
Type: Master's thesis
Year: 2009
Downloads: 28
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Abstract


This paper studies the nonlinear singularly perturbed system ISS stability. Introduces a series of small gain growth conditions, make on this condition nonlinear singularly perturbed system ISS stability properties is the ISS slow subsystem and fast subsystem to guarantee. Can consider to slow subsystem and a fast subsystem ISS - Lyapunov function. Then, the whole system as an associated system, we use two kinds of such similar Lyapunov function simply constructed the so-called combination similar Lyapunov function. And the Internet conditions estimated perturbation parameter of the maximum. Finally, give two examples to illustrate the application of the result. This paper mainly divided into three parts: the first part is introduction. In this part, the first problem of this research background, and then presents some concept and have some results. The second part is the main theorem, and has given the detailed proof. At the same time give a concrete application example. The third part is the summary of the work.

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CLC: > Mathematical sciences and chemical > Mathematics > Control theory, information theory ( mathematical theory ) > Cybernetics ( control theory, mathematical theory ) > Nonlinear control systems
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