控制理论与应用2016,Vol.33Issue(9):1225-1235,11.DOI:10.7641/CTA.2016.50768
连续时间多胞线性变参数系统变增益H∞/H2输出反馈控制
Gain-scheduled H∞/H2 output feedback controller synthesis for continuous-time polytopic linear parameter varying systems
摘要
Abstract
This paper focuses on the problem of gain-scheduled H∞/H2 output feedback controller synthesis for continuous-time linear parameter varying (LPV) systems with parameter uncertainty and external disturbance simulta-neously. First, the mathematical formulation and control objectives, including the H∞/H2 performance and regional pole placement, of gain-scheduled mixed-objective robust dynamic output feedback controller for continuous-time LPV sys-tems are presented. Second, in order to further reduce the conservatism of this algorithm, several slack variables and parameter-dependent Lyapunov functions are employed to the well-established performance conditions. Then the desired gain-scheduled mixed-objective robust dynamic output feedback controllers are reformulated as efficiently tractable finite-dimensional convex optimization problem in terms of linear matrix inequalities (LMIs). Finally, numerical examples of a quarter car model with an active suspension are given to illustrate the effectiveness of the proposed methods.关键词
H∞控制/H2控制/区域极点配置/线性变参数/主动悬架Key words
H∞control/H2 control/regional pole placement/linear parameter varying/active suspension分类
信息技术与安全科学引用本文复制引用
姜伟,王宏力,陆敬辉,秦伟伟,蔡光斌..连续时间多胞线性变参数系统变增益H∞/H2输出反馈控制[J].控制理论与应用,2016,33(9):1225-1235,11.基金项目
国家自然科学基金项目(61304239,61503391,61503392),陕西省自然科学基金项目(2015JQ6213)资助 (61304239,61503391,61503392)