摘要
对于一类具有范数有界参数不确定性的关联多时滞大系统,研究其最优保性能分散状态反馈控制律的设计问题。基于线性矩阵不等式处理方法,导出保性能控制律存在的条件,并证明该条件等价于1个线性矩阵不等式的可行性问题,并用这个线性矩阵不等式的可行解给出保性能控制律的1个参数化表示。进而,通过建立并求解1个凸优化问题,给出最优保性能控制律设计方法。
For a class of large-scale interconnected systems with norm-bounded time-varying parameter uncertainties and multiple delays, the problem of designing an optimal guaranteed cost decentralized state feedback controller was concerned. A condition for the existence of guaranteed cost controllers was derived. It is shown that this condition is equivalent to the feasibility problem of a certain linear matrix inequality (LMI), and its solutions provide a parameterized representation of guaranteed cost controllers. Based on that fact, the design problem of the optimal guaranteed cost controller is formulated as a convex optimization problem, which can be solved by the existing convex optimization techniques.
出处
《中南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2009年第S1期229-234,共6页
Journal of Central South University:Science and Technology
基金
浙江省自然科学基金资助项目(M603071)
关键词
关联大系统
多时滞
保性能控制
分散控制
线性矩阵不等式
large-scale interconnected systems
multiple delays
guaranteed cost control
decentralized control
linear matrix inequality (LMI)
