摘要
针对一类不确定广义时滞系统,讨论了其基于观测器的鲁棒预测控制问题,给出了系统观测器型预测控制器的设计方法.通过构造带有误差项的Lyapunov函数,应用线性矩阵不等式,将无穷时域二次性能指标"min-max"优化问题转化为凸优化问题,得到了鲁棒预测控制器存在的充分条件和显式表达式.证明了优化问题在初始时刻的可行解能保证广义闭环系统渐近稳定且正则无脉冲.仿真实例验证了所提出方法的有效性.
The problem of observer-based robust predictive control for the singular systems with uncertainties and time-delay is presented. The design method of robust predictive observer-based controller is proposed. By constructing the Lyapunov function with the error terms, and with the method of LMIs, the infinite time domain ＂min-max＂ optimization problems are converted into convex programming problems. Then the sufficient conditions for the existence of this control are derived. The robust stability of the closed-loop singular systems is guaranteed by the initial feasible solutions of the optimization problems. The regular and the impulse-free of singular systems are also hold. A simulation example illustrates the effectiveness of this method.
出处
《控制与决策》
EI
CSCD
北大核心
2009年第4期606-610,616,共6页
Control and Decision
基金
国家自然科学基金项目(60774016)
关键词
预测控制
广义时滞系统
线性矩阵不等式
状态观测器
不确定性
Predictive control
Singular time-delay systems
Linear matrix inequality
State observer
Uncertainties
