具有时变不确定线性系统的鲁棒无源控制

研究具有时变不确定参数的线性系统在有界能量外部输入作用下的鲁棒无源控制问题. 目的是设计一个反馈控制器使得闭环系统是二次稳定,同时具有严格无源性.研究结果证明,这 一问题可以转化为一个等价的具有某个参数的线性时不变系统的正实控制问题,从而可用现有的 正实控制问题的求解方法解决所研究的问题.

Robust Passive Control of Linear Systems with Time-Varying Uncertain Parameters

This paper concerns the robust passive control problem for linear systems with time varying uncertain parameters under bounded energy exogenous inputs. The objective is to design a feedback control law such that the closed loop system is both quadratically stable and strictly passive for all the admissible uncertainties. It is shown that such a problem is equivalent to a positive real control problem for a certain linear time invariant system with a positive scaling parameter. Thus, a complete solution to such a problem can be achieved by using the existing results of standard positive real control problem.