一类不确定切换互联大系统的分散保性能控制

Decentralized Guaranteed Cost Control for a Class of Uncertain Switched Interconnected Large-Scale Systems

研究了一类具有范数有界不确定性的切换互联大系统的分散状态反馈保性能控制问题。对于给定的二次型性能指标,基于完备性和凸组合方法导出了不确定切换互联大系统存在分散状态反馈保性能控制器的充分条件。进一步,利用线性矩阵不等式方法给出了分散状态反馈保性能控制器和切换策略的设计方法。数值仿真结果表明了所提设计方法的有效性。

The guaranteed cost control problem via the decentralized state feedback for a class of switched interconnected large-scale systems with norm-bounded time-varing parameter uncertainty was considered. Based on the concept of completeness and convex combination technique, sufficient conditions for the existence of decentralized guaranteed cost controllers for the uncertain switched interconnected large-scale systems with regard to a given quadratic performance function were derived. Furthermore, the procedure for construction of decentralized switching strategy and decentralized guaranteed cost controllers was presented using the feasible solutions of a set of linear matrix inequalities. Finally, a numerical simulation was given to illustrate the effectiveness of the method.