【摘要】 研究了Delta算子描述下的具有范数有界参数不确定线性系统的最优保性能控制律的设计问题。运用线性矩阵不等式,首先证明了保性能控制律的存在的充分必要条件,然后用一个线性矩阵不等式的可行解给出了所有保性能控制律的一个参数化的表示。在此基础上,通过建立和求解一个凸优化问题,给出了最优保性能控制律的设计。最后,用一个例子验证了给出方法的可行性。更多还原

【Abstract】 The problem of optimal guaranteed cost controller for Deltaoperator linear systems with norm-bounded time-varying parameter uncertainty is focused on in this paper. A necessary and sufficient condition for the existence of guaranteed cost controllers is derived in terms of linear matrix inequalities. It is showed that this condition is equivalent to the solvability problem of a group of linear matrix inequalities, and its solutions provide a parameterized representation of guaranteed cost controller. Based on that mentioned, the design problem of the optimal guaranteed cost controller is given by solving a corresponding convex optimization problem. Finally, an example is given to illustrate the effectiveness of the results.更多还原