不确定离散时间系统的H_2/H_∞最优保性能控制  

H_2/H_∞ Optimal Guaranteed Cost Control of Uncertain Discrete-Time Systems

作　　者：潘海天[1] 俞立[1] 

机构地区：[1]浙江工业大学,杭州310032

出　　处：《计算技术与自动化》2001年第2期20-25,共6页Computing Technology and Automation

摘　　要：针对具有两个不同被调输出的一类不确定离散时间系统 ,研究了其 H2 /H∞ 状态反馈保性能控制问题。基于线性矩阵不等式处理方法 ,导出了存在 H2 /H∞ 保性能控制律的充分必要条件 ,并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表示。进而 ,通过建立和求解一个凸化问题 ,给出了 H2 /H∞最优保性能控制设计方法。最后 。The H 2/H ∞ guaranteed cost control problem via state feedback controllers is considered for a class of uncertain discretetime systems with two controlled outputs. Based on the linear matrix inequality(LMI) approach,a nessceary and sufficient condition is derived for the existence of guaranteed cost controllers, and a parameterized characterization of all guaranteed cost controllers is provided in terms of the feasible solutions to a certain linear matrix inequality. Furthermore, the design problem of the H 2/H ∞ optimal guaranteed cost controller is formulated as a convex optimization problem, which can be efficiently solved by existing convex optimization techniques and software. Finally, an example is given to illustrate the usefulness of the proposed results.

关 键 词：不确定离散时间系统 H2/H∞控制 最优控制 保性能控制 

分 类 号：TP271.8[自动化与计算机技术—检测技术与自动化装置]