区域极点约束下线性离散系统的Riccati鲁棒控制
An Algebraic Riccati Equation Approach to Robust Control for Linear Discrete-Time Systems with Regional Pole Constraints
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摘要: 讨论区域极点约束下,含结构参数扰动的不确定线性离散系统的鲁棒控制问题,即设计一 鲁棒状态反馈控制器,使线性离散系统在可允许的参数扰动下,闭环矩阵极点始终位于一预先 给定的圆形区域中,从而闭环系统具有期望的动态性能.上述控制目的可通过求解一含参数 的代数离散Riccati方程达到.
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关键词:
- 离散系统 /
- 鲁棒控制 /
- 极点配置 /
- 代数Riccati方程
Abstract: This paper considers the robust control problem for uncertain linear discrete-time systems with regional constraints. The problem we address is to design the robust state feedback controller such that the closed-loop poles are placed within a specified disk for all admissible perturbations, and hence the closed-loop systems will possess the desired dynamical performance. It is shown that the control object can be achieved by solving an algebraic Riccati equation with uncertain parameters.-
Key words:
- Discrete-time systems /
- robust control /
- pole assignment /
- algebraic Riccati equations
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