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Robust Control of a class of uncertain discrete time delay fuzzy systems

Author: WangJunMei
Tutor: ZhouShaoSheng
School: Qufu Normal University
Course: Operational Research and Cybernetics
Keywords: fuzzy system H2 norm bound controller linear matrix inequality uncertainty
CLC: O231
Type: Master's thesis
Year: 2007
Downloads: 73
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Abstract


This thesis mainly deals with robust control of a discrete-time-delay fuzzy systems with uncertainty. The content can be cut into two parts:The first part: Robust H2 state feedback controller problem is investigated for a class of discrete-time-delay fuzzy systems. The parameter uncertainties are modelled as a fractional forms, the norm-bound form is one of its special forms. In this part, we mainly consider the following system model:By using Lyapunov stability theory and linear matrix inequality （LMI） technology, the stability of a class of closed-loop system is developed with H2 performance bound, and then a state feedback controller is designed. At last, numerical examples are presented to demonstrate the application of the proposed method.The second part: Delay-dependent robust stabilization problem is studied for a class of discrete-time-time fuzzy system with uncertainty. The parameter uncertainties are modelled as a fractional form. Consider the following system model:By using Lyapunov stability theory and LMI technology, a sufficient condition is developed to ensure the closed-loop system is robust stable. Numerical examples are presented to demonstrate the application of the proposed method.

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