一类执行器饱和非线性Hamilton网络控制系统H_∞控制器设计

研究了一类执行器饱和非线性Hamilton网络控制系统H∞状态反馈控制器设计问题。该类网络控制系统中存在不确定的网络时延及丢包,待设计的控制器受到饱和因素的约束,且系统的外部扰动范数有界但统计特性未知。结合Hamilton系统结构特性,当网络时延和连续丢包有界时,将网络时延和连续丢包转化为时变时滞,应用Lyapunov-Krasovskii稳定性理论来分析和设计H∞控制器,使其满足H∞性能指标,控制器中的未知参数通过求解不等式来确定。算例分析与仿真验证了方法的有效性。

H∞-controller design for a class of nonlinear Hamilton networked contol systems with actuator saturation

The H∞ state-feedback controller design problem for a class of nonlinear Hamilton networked control systems with actuator saturation was investigated. Subject to actuator saturation, uncertain networkinduced delays and data packet dropout were included in the networked control systems. The disturbances of the systems studied have unknown statistical characteristics but bounded norm. First, according to the structural characteristics of Hamilton systems and the bound of networkinduced delays and data packet dropout, networkinduced delays and data packet dropout were changed into time-varying time-delay. Then, by using the stability theorem of Lyapunov-Krasovskii, the H∞ controller was designed and which also satisfied the requirements in H∞ performance. The unknown parameters of the controller were obtained by solving a special kind of inequalities. Finally, a example was given to illustrate the efficiency of the proposed method.