一类不确定离散时间系统的最优鲁棒控制
Optimal Robust Control for a Class of Uncertain Discrete-Time Systems
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摘要: 本文针对一类含有不确定因素的离散单输入系统,采用李雅普诺夫第二种方法设计了一 种鲁棒控制器.这个控制器是系统状态的线性函数,并且被证明当矩阵Q给定时,它是最优 的.文末给出了仿真例子.Abstract: In this paper, a linear robust state feedback controller is proposed for discrete-time single input systems containing uncertain elements. The controller is constructed via the second method of Lyapunov subject to four assumptions. It is proved to be optimal and its output is continuous. It guarantees that the state is bounded if matrix A is properly chosen. At last, the simulation examples are demonstrated.
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Key words:
- Robust control /
- discrete-time system /
- Lyapunov function /
- state feedback
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