JOURNAL OF CHEMICAL ENGINEERING OF JAPAN
Online ISSN : 1881-1299
Print ISSN : 0021-9592
Process Systems Engineering
An LMI Approach to H PI Controller Design
Cheng-Liang ChenTzxy-Chyi WangShuo-Huan Hsu
Author information
JOURNAL RESTRICTED ACCESS

2002 Volume 35 Issue 1 Pages 83-93

Details
Abstract
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.
Content from these authors
© 2002 The Society of Chemical Engineers, Japan
Previous article Next article
feedback
Top