摘要
针对一类具有多重时变时滞的离散时间系统,研究该系统基于状态观测器的H∞输出跟踪控制问题,其中参考信号由给定的参考模型生成.利用Lyapunov稳定性理论,线性矩阵不等式分析技巧以及自由权矩阵等方法,给出了跟踪误差系统指数稳定并满足H∞性能的充分条件,所得结果依赖系统时滞,具有较小的保守性.通过锥补线性化方法,将涉及状态观测器和反馈控制器设计的非线性问题,转化为由线性矩阵不等式组约束的非线性规划问题,数值仿真验证了结论的有效性.
In this paper, observer based Ha output tracking control is investigated for discrete time systems with multiple time varying delays. The reference signal is generated by the reference model. Based on stability of Lyapunov, linear matrix inequality （LMI） technique and freeweighting matrices method, the delay dependent sufficient condition is derived for guaranteeing the exponentially asymptotic stability and H∞, output tracking performance of discrete time systems with multiple time varying delays. The results are dependent on system delay with a less conservative. The nonlinear matrix inequality involved in the state observer and feedback controller design is transformed into nonlinear programming problem constrained by LMIs using the cone complementarity linearization algorithm. Finally, the simulation results are given to demonstrate the effectiveness of the proposed methods.
出处
《浙江工业大学学报》
CAS
北大核心
2015年第4期438-444,共7页
Journal of Zhejiang University of Technology
基金
国家自然科学基金资助项目(61473262)
关键词
离散系统
多时变时滞
输出跟踪控制
状态观测器
指数稳定
discrete time systems
multiple time varying delays
output tracking control
stateobserver
exponentially stability
