计算控制论的理论与应用

针对目前控制论研究分支越来越多、对模型的依赖越来越强、分析算法和控制器设计算法越来越复杂的问题 ,为了有效地提高控制系统设计精度和鲁棒性 ,改善系统分析和设计的环境 ,提出了计算控制论的概念 ,指出了稳定性和耗散性质是系统的基本特征 ,在此基础上导出了系统鲁棒性分析和鲁棒控制器设计所需要的基本定理和公式 .研究结果表明 ,基于系统能量的耗散性概念可以建立系统分析的统一框架 ,基于LMI可以建立系统解算的统一框架 .最后还就计算控制论的研究内容和问题及其有关研究方法、基本数学和物理特征进行了探讨

Theory and applications of computational cybernetics

At present, the researches on cybernetics lead to such a trend: research branches are more and more, the dependence of the researches on models is stronger and stronger, and the algorithms used to analyze and design controllers become also more and more complicated. In order to more effectively solve these problems, raise the design precision and the robustness of control system, and improve the environment of analyzing and designing control system, the concept of computational cybernetics is first presented in this paper. It is held that stability and dissipation are the foundational performances of most systems. Based on this recognition, some foundational theorems and formulas are deduced for the analysis of system robust and the design of robust controller. Research results show the unified framework of system can be built based on the notion of system energy dissipation, and the unified framework of system solution can be built based on LMI (linear matrix inequality). Finally, the research contents, methods and basic mathematic and physical characteristics of computational cybernetics are discussed.