这篇论文为 uncertainpiecewise 建议输出反馈控制器设计方法线性系统基于片明智的二次的 Lyapunov 功能。一稳定性 ofclosed 环系统也被考虑。产量反馈控制器设计不明确的片的过程,这被显示出有一稳定性限制的明智的线性系统能作为解决一套双线性的矩阵不平等(BMI ) 被设计。在这个论文罐头的 BMI 问题 solvediteratively 作为一套二个凸的优化问题正在包含能高效地数字地被解决的线性矩阵不平等(LMI ) 。一个数字例子显示出建议方法的有效性。
This paper proposes output feedback controller design methods for uncertain piecewise linear systems based on piecewise quadratic Lyapunov function. The α-stability of closed-loop systems is also considered. It is shown that the output feedback controller design procedure of uncertain piecewise linear systems with α-stability constraint can be cast as solving a set of bilinear matrix inequalities (BMIs). The BMIs problem in this paper can be solved iteratively as a set of two convex optimization problems involving linear matrix inequalities (LMIs) which can be solved numerically efficiently. A numerical example shows the effectiveness of the proposed methods.