广义互联大系统的相似结构和鲁棒镇定

Similar Structures and Robust Stabilization of Large-Scale Generalized Interconnected Systems

运用Lyapunov方法和广义系统的第一等价形式 ,研究了具有非线性互联项和不确定性的广义互联大系统· 以导数 比例状态反馈和受限等价为基础定义了受控系统的相似结构 ,并根据标称系统的能控性给出了相似结构的一个简明判别法· 设计了具有相似结构的鲁棒分散控制器 ,使得闭环系统正常化且渐近稳定· 由于分散控制器的相似结构 ,只需一个控制器和相似参量 ,就可以得到所有的控制器 ,因此易于工程实现·

Large scale generalized interconnected systems containing nonlinear interconnections and uncertainties were studied by using Lyapunov method and first equivalent form of generalized systems. Similar structures of the controlled systems were defined based on derivative proportional state feedback and restricted equivalence, and a compendious discriminance for the similar structures was given by the controllability of the nominal systems. Robust decentralized controllers possessing similar structures were designed so that the closed loop systems are normal and asymptotically stable. Since the similar structures of the controllers, all controllers can be obtained by only one controller and similar parameters, and thus they are easy to perform in engineering practice.