Robust and Reliable H∞ Control for Uncertain Time-Delay Systems with Actuator Failures Based on Razumikhin Theorem
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摘要: 主要研究了一类状态时滞不确定线性系统的时滞依赖鲁棒H∞可靠控制问题.系统状 态矩阵和时滞状态矩阵中存在着范数有界的时变参数不确定性,故障执行器集合是执行器集合 的子集.采用Razumikhin定理,最终将问题归结为通过线性矩阵不等式(Linear Matrix Inequalities,LMIs) 的求解得到无记忆状态反馈鲁棒H∞可靠控制器综合设计方法.Abstract: This paper focuses on the synthesis problem of robust and reliable H∞ control for linear systems with norm-bounded time-varying parameter uncertainty in the state and delayed-state matrices and with actuator failures among a pre-specified subset of actuators. LMIs(linear matrix inequalities) method is given for the memoryless state feedback synthesis problem to quadratically stabilize the given systems and satisfy the H∞-norm constraint. The results depend on the size of the time-delay via the use of Razumikhin-type theorem.
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Key words:
- Reliable control /
- H∞ control /
- uncertainty /
- actuator failure /
- time-delay
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