论文标题
离散时间LPV开关系统的稳定性分析
Stability analysis of discrete-time LPV switched systems
论文作者
论文摘要
本文解决了自主切换下离散时间切换系统的稳定性问题。开关系统的每种模式均被建模为线性参数变化（LPV）系统，随时间变化的参数可以随时随意变化，并以多面有形式表示。 Lyapunov理论被用来以参数依赖性LMI的形式获得新的条件。构建的Lyapunov函数利用了其构造中具有变化状态的增强状态向量。从这个意义上讲，本文采用的Lyapunov函数可以视为离散的LPV开关Lyapunov函数。数值实验说明了该技术在提供稳定证书方面的功效。
This paper addresses the stability problem for discrete-time switched systems under autonomous switching. Each mode of the switched system is modeled as a Linear Parameter Varying (LPV) system, the time-varying parameters can vary arbitrarily fast and are represented in a polytopic form. The Lyapunov theory is employed to get new conditions in the form of parameter-dependent LMIs. The constructed Lyapunov function takes advantage of using an augmented state vector with shifted states in its construction. In this sense, the Lyapunov function employed in this paper can be viewed as a discrete-time LPV switched Lyapunov function. Numerical experiments illustrate the efficacy of the technique in providing stability certificates.
