Wang T.Lan W.Chen C.2019-05-212019-05-21200602533839https://scholars.lib.ntu.edu.tw/handle/123456789/409685A 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.H ∞ controlLinear matrix inequality (LMI)Multiple modelsNonlinear systemPI controllerjournal article10.1080/02533839.2006.96711232-s2.0-33645499867https://www.scopus.com/inward/record.uri?eid=2-s2.0-33645499867&doi=10.1080%2f02533839.2006.9671123&partnerID=40&md5=a88076348d5adbbe564d952448ab25dd