时变时滞不确定系统鲁棒完整性控制

Design of robust integrity controller for a class of uncertain systems with time-varying delay

研究了具有结构不确定和时变时滞特性系统的时滞依赖鲁棒完整性控制器设计问题。利用Newton-Leibniz转换关系式中各项间的相互联系而获得了新的时滞依赖稳定性指标,该指标保守性较小。基于该时滞依赖稳定性指标,结合Lyapunov稳定性理论和LMI方法,针对系统可能发生传感器或执行器故障的情况,给出了时滞依赖完整性控制器的设计方法。仿真研究表明,所设计的完整性控制器对传感器和执行器故障具有良好的稳定作用。

The problem of delay-dependent robust integrity controller for a class of systems with time-varying structured uncertainties and time-varying delays is analyzed in this paper. New delay-dependent stability criteria is devised by taking into account the relationship among the terms in the Newton-Leibniz formula. The criteria are less conservative than exiting ones. Based on the condition, Lyapunov stability theorem and LMI approach are used to design robust integrity controller. At last a simulation example is given to show that the designed controller has good stable action to both the sensors failures and actuators failures.