For the output feedback control problem of a T-S fuzzy system, an observer-controller synthesis method is proposed. First, with parallel distributed compensation fuzzy observer and controller, an augmented error system is obtained. Based on Lyapunov function approaches, system stability and robust conditions are achieved. Then, by dividing the non-convex conditions into observer-dominant and controller dominant parts, the conditions are converted into convex form to facilitate the numerical solving process. Also, input saturation and system measurement disturbance are considered in the synthesis procedure. Finally, a numerical and a vessel control example are adopted to make comparisons with existing methods, with the results clearly showing the conservatism reduction effects and good control performance of the proposed method.

中文翻译：

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Takagi-Sugeno系统的新型鲁棒观测器-控制器综合方法

对于TS模糊系统的输出反馈控制问题， 提出了观察者-控制器合成方法。首先，通过并行分布式补偿模糊观测器和控制器，得到了一个增广误差系统。基于李雅普诺夫函数方法，实现了系统稳定性和鲁棒性条件。然后，通过将非凸条件划分为观察者主导和控制器主导部分，将条件转换为凸形式以促进数值求解过程。此外，在合成过程中还考虑了输入饱和和系统测量干扰。最后，通过数值和船舶控制实例与现有方法进行了比较，结果清楚地表明了该方法的保守性降低效果和良好的控制性能。