不确定系统具有圆盘区域极点约束的鲁棒控制
Robust Control of Uncertain Linear System with Disk Pole Consraints
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摘要: 对一类不确定线性系统,提出了存在状态反馈控制律,使得闭环系统的所有极点均位 于一给定圆盘中的一个充分必要条件.结合控制律反馈增益参数极小化的要求,建立了一个具 有线性矩阵不等式约束的凸优化问题,通过该问题的解,可以构造一个具有较小反馈增益参数 和给定要求的控制律.所提出的方法既可应用到连续系统,也可应用到离散系统.Abstract: For a class of uncertain linear systems, a necessary and sufficient condition for the existence of state feedback control laws which assign the closed-loop poles in a prespecified disk is derived in terms of linear matrix inequalityies (LMIs). The problem of designing the controllers with smaller gain parameters is formulated as a convex programme with LMI constrains, which can be solved by the existing LMI software. The proposed method is applicable to both continuous and discrete time systems.
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Key words:
- Uncertainty /
- robust control /
- LMI /
- pole placement
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