https://scholars.lib.ntu.edu.tw/handle/123456789/409685
Title: | An LMI and fuzzy model approach to H ∞ PI controller design | Authors: | Wang T. Lan W. Chen C. |
Keywords: | H ∞ control;Linear matrix inequality (LMI);Multiple models;Nonlinear system;PI controller | Issue Date: | 2006 | Journal Volume: | 29 | Journal Issue: | 2 | Start page/Pages: | 263-277 | Source: | Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an | Abstract: | 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 |
Appears in Collections: | 化學工程學系 |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.