https://scholars.lib.ntu.edu.tw/handle/123456789/409696
標題: | An LMI approach to H∞ PI controller design | 作者: | Chen C.-L. Wang T.-C. Hsu S.-H. |
關鍵字: | H∞ control;Linear matrix inequality;PID controller;Process control;Quadratic stability | 公開日期: | 2002 | 卷: | 35 | 期: | 1 | 起(迄)頁: | 83-93 | 來源出版物: | Journal of Chemical Engineering of Japan | 摘要: | A Linear Matrix Inequality (LMI) approach for designing the H∞ Proportional-Integral (PI) controller for a nonlinear dynamic system is studied. A local linear model containing time-varying norm-bounded uncertain parameters is identified at first. The robust PI control design problem based on the norm-bounded uncertain linear model is then transformed into a standard H∞ control problem, where the latter is further formulated as LMIs. By adopting the LMI expression, a symmetric positive definite matrix P with guaranteed overall system's quadratic stability can be easily determined. The matrix P can finally be used to infer the robust PI controller parameters. One chemical process, a non-isothermal continuous-stirred-tank reactor (CSTR) with a first-order exothermic reaction, is illustrated to demonstrate the effectiveness of the proposed LMI-based H∞ PI controller design method for nonlinear dynamic processes. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/409696 | ISSN: | 00219592 | DOI: | 10.1252/jcej.35.83 |
顯示於: | 化學工程學系 |
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