An LMI Approach to H∞ PI Controller Design

JOURNAL OF CHEMICAL ENGINEERING OF JAPAN

Tzxy-Chyi Wang¹  Cheng-Liang Chen¹  Shuo-Huan Hsu¹ 

[1] Department of Chemical Engineering, National Taiwan University

关键词: Process Control;    H∞ Control;    PID Controller;    Linear Matrix Inequality;    Quadratic Stability;   

DOI  :  10.1252/jcej.35.83

来源: Maruzen Company Ltd

【 摘 要 】

References(16)Cited-By(4)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.

【 授权许可】

Unknown