随机时延网络控制系统的状态反馈控制

State Feedback Control of Networked Control Systems with Random Delay

通过将随机时延转换为系统的不确定性,研究了网络控制系统的鲁棒H2/H∞控制问题,给出了状态反馈控制器的设计方法,使得闭环系统是渐近稳定的,且使得闭环系统传递函数Tωz的H∞范数不超过一个给定的上界,以保证系统的鲁棒稳定性,同时使得闭环传递函数Tωz的H2范数满足一定的条件,以保证系统具有比较好的H2范数表征的系统性能。仿真实例验证了所该方法的有效性。

The problems of system stability and H2/H∞ control are discussed by convert the uncertainty of time delays to the uncertainty of system parameters, and the design of state feedback is developed, which is a good solution of the problem of asymptotic stability of closed - loop system. To guarantee robust stability of the system, transfer functions Tωz in the closed system is not in excess of the common upper bound ; in a addition, to achieving the better performance of control system token by H2 norms, H2 norms of transfer functions Tωz in the closed system is satisfied with certain conditions. A simulation example illustrate the validity of the design method presented above.