Feedback control problems for linear periodic systems （LPSs） with interval- type parameter uncertainties are studied in the discrete-time domain. First, the stability analysis and stabilization problems are addresse...Feedback control problems for linear periodic systems （LPSs） with interval- type parameter uncertainties are studied in the discrete-time domain. First, the stability analysis and stabilization problems are addressed. Conditions based on the linear matrices inequality （LMI） for the asymptotical stability and state feedback stabilization, respec-tively, are given. Problems of L2-gain analysis and control synthesis are studied. For the L2-gain analysis problem, we obtain an LMI-based condition such that the autonomous uncertain LPS is asymptotically stable and has an L2-gain smaller than a positive scalar γ. For the control synthesis problem, we derive an LMI-based condition to build a state feedback controller ensuring that the closed-loop system is asymptotically stable and has an L2-gain smaller than the positive scalar γ. All the conditions are necessary and sufficient.展开更多
针对大压力筒压力控制的大惯性特征,采用控制进出压力筒液体容积的方式,实现压力筒内部压力的精确跟踪。建立系统非线性数学模型,在平衡点处线性化系统状态方程,采用极点配置方法设计系统在平衡点处的状态反馈解耦控制器。结合增益调度...针对大压力筒压力控制的大惯性特征,采用控制进出压力筒液体容积的方式,实现压力筒内部压力的精确跟踪。建立系统非线性数学模型,在平衡点处线性化系统状态方程,采用极点配置方法设计系统在平衡点处的状态反馈解耦控制器。结合增益调度控制器设计策略,采用Back to turn(BTT)方法,得到系统全局保稳定控制器。仿真结果表明了本文所提出的控制器设计方法的有效性。展开更多
基金National Natural Science Foundation of China （60674036, 60974003）, the Natural Science Foundation for Distinguished Young Scholar of Shandong Province of China （JQ200919）, the Program for New Century Excellent Talents in University of China （NCET-07-0513）, the Key Science and Technique Foundation of Ministry of Education of China （108079）, the Excellent Young and Middle-Aged Scientist Award Grant of Shandong Province of China （2007BS01010）
基金supported by the National Natural Science Foundation of China (Nos. 60404001 and60774089)
文摘Feedback control problems for linear periodic systems （LPSs） with interval- type parameter uncertainties are studied in the discrete-time domain. First, the stability analysis and stabilization problems are addressed. Conditions based on the linear matrices inequality （LMI） for the asymptotical stability and state feedback stabilization, respec-tively, are given. Problems of L2-gain analysis and control synthesis are studied. For the L2-gain analysis problem, we obtain an LMI-based condition such that the autonomous uncertain LPS is asymptotically stable and has an L2-gain smaller than a positive scalar γ. For the control synthesis problem, we derive an LMI-based condition to build a state feedback controller ensuring that the closed-loop system is asymptotically stable and has an L2-gain smaller than the positive scalar γ. All the conditions are necessary and sufficient.
文摘针对大压力筒压力控制的大惯性特征,采用控制进出压力筒液体容积的方式,实现压力筒内部压力的精确跟踪。建立系统非线性数学模型,在平衡点处线性化系统状态方程,采用极点配置方法设计系统在平衡点处的状态反馈解耦控制器。结合增益调度控制器设计策略,采用Back to turn(BTT)方法,得到系统全局保稳定控制器。仿真结果表明了本文所提出的控制器设计方法的有效性。
