An LMI Approach to H^∞ PI Controller Design

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概要

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• 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.

• 社団法人 化学工学会の論文
• 2002-01-01

著者

• Hsu Shuo-huan

  Department Of Chemical Engineering National Taiwan University

• Chen Cheng-liang

  Department Of Chemical Engineering National Taiwan University

• WANG Tzxy-Chyi

  Department of Chemical Engineering, National Taiwan University

• Wang Tzxy-chyi

  Department Of Chemical Engineering National Taiwan University

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