https://scholars.lib.ntu.edu.tw/handle/123456789/409685
標題: | An LMI and fuzzy model approach to H ∞ PI controller design | 作者: | Wang T. Lan W. Chen C. |
關鍵字: | H ∞ control;Linear matrix inequality (LMI);Multiple models;Nonlinear system;PI controller | 公開日期: | 2006 | 卷: | 29 | 期: | 2 | 起(迄)頁: | 263-277 | 來源出版物: | Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an | 摘要: | A Linear Matrix Inequality (LMI) approach for designing the H ∞ Proportional-Integral (PI) controller for nonlinear dynamic systems is studied. The whole operating range of a nonlinear system is partitioned into several regimes. A local linear model containing time-varying norm-bounded uncertain parameters is identified with parameter uncertainties for each region. These local linear models are then integrated as a norm-bounded Tagaki-Sugeno (TS) nonlinear fuzzy model. The robust PI control design problem based on these norm-bounded uncertain linear models is then transformed into a series of standard H ∞ control problems, where the latter is further formulated as LMIs. By adopting the LMI expressions, a symmetric positive definite matrix with guaranteed overall system stability can be easily determined and then be further used to infer the robust multiple PI controller parameters. One chemical process, a double-effect evaporator, is illustrated to demonstrate the effectiveness of the proposed LMI-based H ∞ PI controller design method for nonlinear dynamic processes. ? 2006, Taylor & Francis Group, LLC. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/409685 | ISSN: | 02533839 | DOI: | 10.1080/02533839.2006.9671123 |
顯示於: | 化學工程學系 |
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