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中文摘要：
针对一类同时具有状态时滞和输入时滞的时变不确定连续系统，研究了日。保成本状态反馈控制器的设计，假定其中的时变不确定性项是范数有界的，但不需要满足匹配条件．通过构造广义Lyapunov函数和线性矩阵不等式（LMI）方法，给出了系统可H∞。鲁棒镇定同时满足保性能指标的一个充分条件，仅通过求解一个相应的线性矩阵不等式，就可得到鲁棒H∞保性能控制器使得闭环系统的一个保成本函数对所有允许的不确定参数有上界，并经过迭代，通过求解凸优化问题得到最优鲁棒H∞。保性能控制器．最后用示例说明了该方法的有效性．
英文摘要：
This paper studies the problem of robust H∞ guaranteed cost control for a class of time-varying uncertain continuous systems with both state and input delays. Suppose that the time-varying uncertain parameters are norm-bounded, but the matched conditions are not required to satisfy. A new sufficient condition of H∞ robust stabilization which satisfies guaranteed cost index is given for the systems by constructing the generalized Lyapunov function and taking the linear matrix inequality approach. Robust H∞ guaranteed cost controllers can be realized simply by solving the corresponding linear matrix inequalities so that a guaranteed cost function for the closed-loop systems has an upper bound irrespective of all admissible parameter uncertainties. Then, by itemtive approach, the optimal robust H∞ guaranteed cost controllers can be obtained through the corresponding convex optimization. A numerical example is given to show the potential of the proposed technique.
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Lur'e Lyapunov functions and Absolute stability criteria for Lur'e systems with multiple nonlinearit
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