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Observer-Based Piecewise Affine Output Feedback Controller Synthesis of Continuous-Time T–S Fuzzy Affine Dynamic Systems Using Quantized Measurements

机译：基于观测器的分段仿射输出仿射反馈控制器，基于量化的连续时间TS模糊仿射动态系统综合

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摘要

This paper is concerned with the problem of robust ${mathscr H}_{infty }$ output feedback control for a class of continuous-time Takagi–Sugeno (T–S) fuzzy affine dynamic systems using quantized measurements. The objective is to design a suitable observer-based dynamic output feedback controller that guarantees the global stability of the resulting closed-loop fuzzy system with a prescribed ${mathscr H}_{infty }$ disturbance attenuation level. Based on common/piecewise quadratic Lyapunov functions combined with S-procedure and some matrix inequality convexification techniques, some new results are developed to the controller synthesis for the underlying continuous-time T–S fuzzy affine systems with unmeasurable premise variables. All the solutions to the problem are formulated in the form of linear matrix inequalities (LMIs). Finally, two simulation examples are provided to illustrate the advantages of the proposed approaches.
机译：本文涉及一类使用量化测量的连续时间Takagi-Sugeno（TS）模糊仿射动态系统的鲁棒$ {mathscr H} _ {infty} $输出反馈控制问题。目的是设计一种合适的基于观测器的动态输出反馈控制器，该控制器以规定的扰动衰减水平来保证所得闭环模糊系统的全局稳定性。基于通用/分段二次Lyapunov函数，结合S过程和一些矩阵不等式凸化技术，为具有不可测前提变量的基础连续时间TS模糊仿射系统的控制器合成开发了一些新结果。该问题的所有解决方案均以线性矩阵不等式（LMI）的形式制定。最后，提供了两个仿真示例来说明所提出方法的优势。

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