Dynamic output feedback H ∞ control of discrete-time fuzzy systems: a fuzzy-basis-dependent Lyapunov function approach
Dynamic output feedback H ∞ control of discrete-time fuzzy systems: a fuzzy-basis-dependent Lyapunov function approach
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DOI：
10.1080/00207720601042967
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发表时间：
2007-01
影响因子：
4.3
通讯作者：
J. Lam;Shaosheng Zhou
中科院分区：
文献类型：
--
作者：
J. Lam;Shaosheng Zhou
本文涉及一类离散时间模糊动态系统的输出反馈H∞控制问题。控制器参数以严格的线性基质不等式（LMI）的形式导致足够的条件。使用模糊基础的lyapunov函数的通用性，其中包括模糊 - 巴西独立的函数作为特殊情况。最后，给出了两个数值示例，有关离散时间混沌Lorenz系统和一个倒置的数值示例，以证明拟议方法的适用性。
This article deals with an output feedback H ∞ control problem for a class of discrete-time fuzzy dynamic systems. A full-order dynamic output feedback H ∞ control design approach is developed by combining a fuzzy-basis-dependent Lyapunov function and a transformation on the controller parameters, which leads to sufficient conditions in the form of strict linear matrix inequalities (LMIs). The fuzzy-basis-dependent results are less conservative due to the generality of the fuzzy-basis-dependent Lyapunov function used which includes the fuzzy-basis-independent one as a special case. It has been shown that the underling full-order dynamic output feedback H ∞ control problem can be solved as LMI optimization problems that can be computed numerically very efficiently. Finally, two numerical examples, concerning the control of a discrete-time chaotic Lorenz system and an inverted pendulum, are given to demonstrate the applicability of the proposed approach.