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基于二次稳定性理论,导出了时变时滞不确定系统鲁棒镇定的充分条件。应用LMI方法,讨论了时变时滞不确定系统的鲁棒控制器设计问题,进而通过建立和求解不同的凸优化问题,给出了控制律满足不同指标要求的构造方法。最后给出一个算例,对该方法进行了验证。
Based on the quadratic stability theory, the sufficient conditions for the robust stabilization of uncertain systems with time-varying delays are derived. The LMI method is applied to discuss the robust controller design of uncertain systems with time-varying delays. Then, by constructing and solving different convex optimization problems, the construction method for the control law to meet the requirements of different indexes is given. Finally, an example is given to verify this method.