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中文摘要：
提出一种基于模糊双曲模型（FHM）的非脆弱保性能控制器设计方法。首先,用模糊双曲模型来表述一类离散非线性系统,建立基于模糊双曲模型的控制器。然后,同时考虑了加性和乘性两种形式的控制器增益摄动,利用Lyapunov方法和FHM的结构特点建立非脆弱保性能控制器的存在条件。其次,使用线性矩阵不等式（LMI）方法设计该控制器以保证闭环系统是渐近稳定的,并且可以通过求解一个基于LMI的优化问题,得到最优的控制器增益矩阵,同时使得保性能指标的上界最小。最后,通过仿真研究表明该方法的有效性。
英文摘要：
The non-fragile guaranteed cost control problem based on fuzzy hyperbolic model （FHM） was proposed First, an FHM was employed to represent a class of discrete-time nonlinear systems and the controller structure was established. Next, a sufficient condition expressed for the existence of non-fragile guaranteed cost controllers was obtained by using Lyapunov method and FHM＇s characteristics. The controller directly obtained in terms of linear matrix inequality （LMI） could guarantee the stability of the closed-loop system in the additive or multiplicative perturbation cases. Furthermore, an optimal non-fragile controller in the sense of minimizing a bound on guaranteed cost was given by means of an LMI optimization procedure. Finally, the simulation results demonstrate the effectiveness of the proposed method.
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