一种求解静态输出反馈镇定控制器的直接算法

A Direct Algorithm for Design of Static Output Feedback Controller

主要研究线性时不变系统的静态输出反馈镇定问题。求解静态输出反馈增益等价于求解两个耦合的线性矩阵不等式(LMI),这导致了需要求解一个非线性最优化问题。通过构造具有对角结构的Lyapunov矩阵,提出了一种基于LMI的静态输出反馈镇定的直接算法。该算法简洁明了,并克服了以往算法需要设定参数初值的缺点。数值实例证明了该方法的有效性和优越性。

In this paper,the problem of static output feedback control of time-invariant system is considered.Solving static output feedback gain is equivalent to solving two coupled linear matrix inequalities（LMIs）,which needs to solve a non-linear optimization problem.By imposing a block-diagonal structure on the Lyapunov matrix,we proposed a direct algorithm of static output feedback stabilization based on LMIs.This algorithm is concise and overcomes the drawback of former algorithms which need the initial values.The simplicity and superiority of the algorithm is demonstrated by numerical examples.