ROBUST H1 CONTROL OF UNCERTAIN DISTRIBUTED DELAY SYSTEMS: PARAMETER-DEPENDENT LYAPUNOV FUNCTIONAL APPROACH
ROBUST H1 CONTROL OF UNCERTAIN DISTRIBUTED DELAY SYSTEMS: PARAMETER-DEPENDENT LYAPUNOV FUNCTIONAL APPROACH
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发表时间：
2007
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通讯作者：
Ligang Wu;Changhong Wang;Huijun Gao
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作者：
Ligang Wu;Changhong Wang;Huijun Gao
针对一类具有时变离散时滞和常值分布时滞的不确定线性系统，提出了时滞相关鲁棒H1控制器的设计方法。参数不确定性被假定为驻留在一个多面体。设计了一个线性无记忆状态反馈H1控制器，并利用参数相关的李雅普诺夫泛函方法，以线性矩阵不等式（LMI）的形式给出了闭环系统鲁棒渐近稳定的时滞相关充分条件.所需的控制器可以通过求解凸优化问题。所提出的方法可以很容易地扩展到多个时间延迟的情况。最后给出了一个数值算例，证明了所提方法的有效性
This paper presents delay-dependent robust H1 controller design for a class of uncertain linear systems with a time-varying discrete delay and a constant distributed delay. The parameter uncertainties are assumed to reside in a polytope. De- signing a linear memoryless state feedback H1 controller, and a sucient condition with delay-dependent is derived for the robust asymptotic stability of the closed-loop system in terms of linear matrix inequalities (LMIs) by applying the parameter-dependent Lyapunov functional approach. The desired controller can be found by solving a convex optimiza- tion problem. The proposed methods can be easily extended to the case of multiple time delays. A numerical example is included to demonstrate the eectiveness of the proposed