具有输入饱和的不正定关联系统分散控制

Decentralized control for uncertain interconnected systems with input saturation

针对在实际控制系统中,如果不考虑输入饱和而设计控制器,闭环系统的稳定性无法保证,讨论了具有输入饱和的不确定非线性交联系统的分散控制问题。利用R iccati方程的方法、Lya-punov稳定理论和矩阵理论,研究了一类具有输入饱和的不确定非线性关联大系统的分散鲁棒镇定问题,给出了该类系统可分散鲁棒控制的一个充分条件,并提出了一种分散鲁棒控制器的设计方法。同时,考虑了一类具有输入饱和的不确定非线性相似关联大系统,由于相似系统的结构特点,给出了简洁的分散鲁棒控制条件。

It is a common phenomenon to input saturation in practical control system. Neglecting input saturation while designing controller, the stability of the closed loop system will not be insured. As for the fact, the problem of decentralized control for uncertain nonlinear interconnected systems with input saturation is discussed. For a class of uncertain nonlinear large-scale interconnected systems with input saturation, the problem of decentralized robust stabilization for the systems is studied by using Riccati equation approach, Lyapunov stable theory and matrix theory. A sufficient condition of the system of decentralized robust control is given, and a kind of decentralized robust controller is designed. Meanwhile, a class of uncertain nonlinear similar large-scale interconnected systems with input saturation is considered. Since similar structure for the systems, the decentralized stabilization conditions for the nonlinear similar systems with input saturation is given, and the condition is simple.