不确定变时滞系统的无记忆反馈控制器设计

Design of Memoryless Controller for Uncertain Systems with Time-varying Delay

针对控制系统中应用广泛的不确定性问题,主要探讨了含时变非结构不确定性变时滞线性系统的镇定,通过将不确定性分解为匹配与不匹配两部分,结合R iccati方程的处理方法及不等式技巧,给出了使系统渐近稳定的无记忆状态反馈控制器的存在条件和设计方案,及相应算例验证了所得结果的可行性和有效性.

This paper discusses the uncertainty which plays important roles in the control theory. Stabilization of uncertain linear system with time - varying delay is mainly researched, and the uncertainty under consideration is time- varying and unstructured which departs into matching and not- matching. The Riccati equation approach and some inequality are developed to propose a existence condition and design method of memoryless state feedback controller which renders the system asymptotically. Finally, relative example is given to demonstrate the feasibility and effectiveness of the results obtained.