含非匹配互联项的一类大型互联非线性系统的鲁棒分散控制

Robust Decentralized Control for a Class of Large-scale Interconnected Nonlinear Systems with Mismatched Interconnections

本文对带有界扰动的一类含非匹配互联项的人型互联非线性系统进行了分散状态反馈控制设计,通过子系统状态的线性变换,得到分散状态反馈控制律.当状态反馈控制律作用于该系统时,无扰动的闭环系统是全局渐近稳定的,当扰动有界时,系统的状态能够收敛到原点的一个与扰动的界相关的邻域内,并给出仿真算例说明该结论的可行性和有效性.

In this paper, decentralized state feedback control design for a class of large-scale interconnected nonlinear systems with mismatched interconnections and bounded disturbances is given. The decentralized state feedback controllers are obtained by using the linear transformation of the states of each subsystem. When the state feedback control laws are applied to the systems, the closed-loop systems without disturbances are globally asymptotic and the states of the systems can converge to a region of the origin which depends on the bounds of the distur bances when disturbances are bounded. A simulation example shows the feasibility and effectiveness of the conclusion.