有界扰动下虚拟控制系数未知的随机关联系统的分散镇定控制

Decentralized stabilization control of a class of stochastic interconnected systems with unknown virtual control coefficients under bounded disturbance

针对有界扰动下虚拟控制系数未知的随机非线性关联系统的分散自适应镇定问题区别于传统的集中控制,采用分散控制的思想对各个子系统分别进行控制器的设计.利用反推设计技术,通过适当地选取Lyapunov函数和设计参数,给出了一个状态反馈反推控制器的设计过程,所设计的控制器保证了闭环系统在平衡点处依概率有界.通过仿真算例验证了所提出控制策略的有效性.

Aiming at the decentralized adaptive stabilization problem for a class of stochastic nonlinear interconnected systems with unknown virtual control coefficients under bounded disturbance,different from the traditional centralized control,by adopting the idea of decentralized control,the controller for each subsystem was designed. By employing the backstepping design technique and stochastic LaSalle theorem,decentralized state-feedback adaptive controller was designed to guarantee that the equilibrium of the closeloop system was bounded in probability. Finally,simulation examples verified the effectiveness of the proposed control strategy.