一类具有非线性饱和执行器的不确定时滞系统鲁棒控制

Robust Control for a Class of Uncertain Time-delay Systems Containing Nonlinear Saturating Actuators

研究一类具有非线性饱和执行器的不确定线性时滞系统的鲁棒镇定问题。所考虑的不确定时滞系统具有时变未知且有界的不确定参数和状态时滞。提出了新的鲁棒可镇定判据和相应的鲁棒无记忆状态反馈控制器设计方法。数值仿真例子说明了所提出方法的有效性。

The robust stabilization problem for a class of uncertain linear time-delay systems containing sector nonlinear saturating actuator is considered. The uncertain time-delay systems under consideration are described by state differential equations with time-varying unknown-but-bounded uncertain parameters and delayed state. The criteria of delay-independent robust stabilizability for the uncertain time-delay systems is presented and the correspondent robust memoryless state feedback controllers are derived in terms of the solutions of several linear matrix inequalities (LMIs). Numerical example is given to illustrate the method.