The Suboptimal Design of Decentralized H2/H∞ Control Based on Linear Matrix Inequality
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摘要: 用线性矩阵不等式(LMI)方法研究大系统分散H2/H∞控制问题,提出了存在分散 H2/H∞状态反馈控制器的参数化定理和两种基于LMI的设计方法:直接LMI方法和迭代LMI (ILMI)方法.所获得的控制器具有块对角结构,闭环系统稳定且能优化闭环系统的H2/H∞性 能指标,示例说明了该算法的应用.Abstract: This paper studyes the decentralized H2/H∞ control problem for large-scale systems by linear matrix inequality (LMI) approach. The parametrization theorem for a decentralized H2/H∞ state feedback controller is addressed and two methods based on LMI are proposed to solve the problem., the direct LMI approach and iterative LMI (ILMI) approach. The controller obtained has the block diagonal structure, ensures the closed-loop system asymptotically stable and offers an optimized H2/H∞ performance index. The given example shows the applications of the methods.
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Key words:
- Decentralized control /
- H2/H∞ control /
- LMI /
- iterative algorithm
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