具有状态时滞和输入时滞的非线性系统的鲁棒无源控制

Robust Passive Control for Nonlinear Systems with State and Input Delays

研究一类具有非线性扰动的连续时间时滞系统的鲁棒无源控制问题,系统中的时滞包括时变状态时滞和时变输入时滞.假设状态时滞不同于输入时滞,并且状态时滞的变化区间及变化率的上界均已知,但输入时滞仅已知其变化区间;通过构造新的Lyapunov泛函,并借助于新的技巧,得到鲁棒无源状态反馈控制器存在的时滞依赖充分条件;数值例子表明了该方法的有效性.

This paper deals with the problem of robust passive control for a class of continuous-time systems with time delays and nonlinear perturbations. The time delays include time-varying state delay and time-varying input delay which are assumed different from each other, because both interval and the upper bound of varying rate of state delay are known, whereas only the varying interval of input delay is given. Delay-dependent sufficient conditions for the existence of robust passive state feedback controllers are derived by constructing a new Lyapunov function and applying new techniques. A numerical example is given to illustrate the effectiveness of the method proposed.