|Title:||An LMI and fuzzy model approach to H ∞ PI controller design||Authors:||Wang T.
|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.
|Appears in Collections:||化學工程學系|
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