具有受自发泊松跳跃影响的分段常数参数的LPV系统的稳定性分析和状态反馈控制
Stability analysis and state-feedback control of LPV systems with piecewise constant parameters subject to spontaneous Poissonian jumps
AI总结：
本文研究了受自发泊松跳跃影响的分段常数参数LPV系统的稳定性与性能分析，提出基于无限维LMI问题的充分条件，并通过示例验证了方法的有效性。
摘要：
具有分段常数参数且受自发泊松跳跃影响的LPV系统在文献中未被充分研究。本文通过提供基于无限维LMI问题的充分稳定性与性能分析条件，部分填补了这一空白。所获得的条件特别之处在于存在一个积分项，这在尝试获得用于设计增益调度状态反馈控制器的凸条件时带来了一些技术难题。该难题通过依赖时间延迟系统分析的最新结果，并获得等价的无积分LMI条件来解决。该方法通过多个示例进行了说明。
英文摘要：
LPV systems with piecewise constant parameters subject to spontaneous Poissonian jumps are a class of systems that does not seem to have been thoroughly considered in the literature. We partially fill this gap here by providing sufficient stability and performance analysis conditions stated in terms of infinite-dimensional LMI problems that can be solved using sum of squares programming. A particularity of the obtained conditions lies in the presence of an integral term leading to some technical difficulties when attempting to obtain convex conditions for the design of a gain-scheduled state-feedback controller. This difficulty is circumvented by relying on a recent result for time-delay systems analysis and an equivalent integral-free LMI condition is obtained. The approach is illustrated through several examples.
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