基于MDADT的多变时滞切换正系统异步输出跟踪控制

Asynchronous Output Tracking Control of Switched Positive Systems with Multiple Time-Varying Delays Based on MDADT Method

研究了具有多个时变时滞的切换正系统在异步切换下的输出跟踪控制问题,设计合适的控制器使其具有指定的增益性能.通过构造适当的多重正Lyapunov函数,建立了新的时滞相关指数稳定判据;利用MDADT方法,设计了基于时滞的输出跟踪控制器,并在此基础上给出了系统指数稳定的充分条件以及系统满足给定输出跟踪指标的稳定条件;通过数值模拟验证了该方法的可行性和优越性.

The problem of output tracking control of switched positive systems with multiple time-varying delays under asynchronous switching was studied.A suitable controller was designed to have the specified gain performance.A new delay-dependent exponential stability criterion was established by constructing appropriate multiple positive Lyapunov functions;the output tracking controller based on time-delay was designed by using MDADT method,on this basis,the sufficient conditions for the stability of the system index and the stable conditions for the system to meet the given output tracking index were given;the feasibility and superiority of the method were verified by numerical simulation.