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研究了一类具有分布时滞的线性不确定系统的鲁棒非脆弱保性能控制问题.考虑分布时滞系统和状态反馈控制器均具有时变不确定性,通过构造新的含三重积分项的Lyapunov-Krasovskii泛函,并结合不等式推导技巧,以线性矩阵不等式形式给出了系统鲁棒非脆弱保性能控制器存在的充分条件.该方法保证了给定的二次性能函数不超过一个确定的界并且是分布时滞相关的.仿真实例表明了该方法的可行性和有效性.
A robust non-fragile guaranteed cost control problem for a class of linear uncertain systems with distributed delays is studied. Both time-varying uncertainties and time-varying uncertainties are considered for both distributed time-delay systems and state-feedback controllers. By constructing a new triple integral term Lyapunov-Krasovskii functional, combined with the inequality derivation techniques, the sufficient conditions for the existence of robust non-fragile guaranteed cost controllers are given in the form of linear matrix inequalities. This method guarantees that the given quadratic function does not exceed a certain Which is related to the distributed delay. Simulation results show the feasibility and effectiveness of this method.