摘要
分析了离散广义区间系统的保成本控制问题.当系统参数在某一确定区间变化时,控制器能保证闭环系统稳定和一定的线性二次型性能指标上界.基于Lyapunov稳定性理论,该控制器的设计可转化为线性矩阵不等式的可解性问题.数值仿真也验证了所给方法的有效性.
The problem of guaranteed cost control for the discrete-time singular interval systems was analyzed. When the system parameters vary within a certain interval matrices, the stability of closed-loop system and a certain upper bound of the linear quadratic cost function are both guaranteed by the controller. Based on Lyapunov stability theory, the design of controller can be transformed to a linear matrix inequality （LMI） feasibility problem. The numerical simulation result was provided to demonstrate the effectiveness of the presented method.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2005年第4期673-676,共4页
Control Theory & Applications
关键词
广义区间系统
保成本控制
SCHUR补
线性矩阵不等式
singular interval systems
guaranteed-cost control
Schur complement
linear matrix inequality（LMI）
