Optimal Synthesis of Robust Regulation for Plants with Coprime Factor Perturbations: Optimization and Continuity Properties
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摘要: 研究了含未知干扰的互质因子摄动离散时间系统达到最优性能鲁棒性的控制器设计及这种设计的连续性. 给出了含未知干扰的互质因子摄动离散时间系统最优鲁棒调节器的一种设计方法. 分析了含未知干扰互质因子摄动系统的性能鲁棒性优化设计的连续性, 证明了互质因子摄动系统性能鲁棒性的优化设计作为从设计模型到鲁棒控制器的映射是连续的, 并且, 若设计模型的参数集是紧的, 这种映射是一致连续的.Abstract: This paper investigates optimal design of robust regulation and the continuity of the design when a discrete-time plant is subjected to both coprime factor perturbations and unknown external disturbances. We show that the controller design is continuous when a map is from the nominal model of the plant to optimal robust regulation controller; moreover, if the set of plants is compact, the map is uniformly continuous.
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