【作者】 刘国栋； 贾飒爽；

【Author】 Liu Guodong Jia Sashuang (School of Communication and Control Engineering, Southern Yangtze University, Wuxi 214122, China)

【机构】 江南大学通信与控制工程学院；

【摘要】 研究了一类带有时变时滞和参数不确定性的线性系统．通过构造Lyapunov函数,给出了此连续时间系统所有允许不确定性的鲁棒稳定条件并对其进行了稳定性证明,在此基础上,结合线性矩阵不等式(LMI)相关性质,设计出系统的H∞状态反馈控制器．所有结果都是基于线性矩阵不等式而得出,较之于早先的Riccati方程法,该方法简便、高效且易于理解,求解过程也相对容易．最后的算例很好地证明了此方法有一定的可行性和有效性．更多还原

【Abstract】 A class of robust H∞ control problem with time vary state delay and parameter uncertainty is discussed . Through constructing a Lyapunov function, the sufficient conditions of robust stability of time continuous system with all permitted uncertainties are given. By using the linear matrix inequality(LMI),a H∞ state feedback controller is finally designed. All of the results are based on LMI. Compared to Riccati function method, this method is easier and more effective. An example is given to demonstrate the effectiveness and feasibility of this method.更多还原