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本文采用参数稳定域作为线性二次型(LQ)最优调节系统的鲁棒性的表征。定义了两类参数稳定域,建立了构造稳定域的条件和相应的算法,算法的形式很适合在计算机上计算。文中还给出了扩大参数稳定域的两种可能途径,其效果已由算例证明。本文的结果,为在 LQ最优调节系统的设计中兼顾鲁棒性和其他性能指标的要求,提供了一般原则和具体途径。
In this paper, the parameter stability domain is used as the characterization of the robustness of the system of linear quadratic (LQ) optimal regulation. Two kinds of parameter stability domains are defined, the conditions for constructing stable domains and the corresponding algorithms are established, and the form of the algorithm is suitable for calculation on a computer. The paper also presents two possible ways to expand the stable region of parameters. The results have been proved by examples. The results of this paper provide general principles and concrete approaches for the design of LQ optimal regulation system in terms of both robustness and other performance requirements.