Title: LMI-based control of feedback linearised CSTR using YALMIP and CVX - a comparative analysis

Authors: Bhawna Tandon; Shiv Narayan; Jagdish Kumar

Addresses: Electronics and Instrumentation Engineering Department, M.M. Engineering College, Mullana, Ambala, Haryana, India ' Electrical Engineering Department, PEC University, Sec-12, Chandigarh, India ' Electrical Engineering Department, PEC University, Sec-12, Chandigarh, India

Abstract: The aim of this paper is to compare different toolboxes used for solving the linear matrix inequalities (LMIs) to design a robust controller for a feedback linearised continuous stirred tank reactor (CSTR). The problem of robust controller design is converted to a problem of solution of linear matrix inequalities (LMIs) and computationally simple non-iterative and iterative algorithms can be used for controller tuning. LMI-based H∞ state feedback controller is designed for CSTR and MATLAB environment enables to compare the results of the LMI Lab in robust control toolbox with the results obtained by using public domain softwares - YALMIP and CVX toolbox.

Keywords: linear matrix inequalities; LMIs; feedback linearisation; continuous stirred tank reactors; CSTR; YALMIP; LMI Lab; CVX; controller design; robust control; H-infinity control; feedback control.

DOI: 10.1504/IJAAC.2015.068046

International Journal of Automation and Control, 2015 Vol.9 No.1, pp.37 - 49

Received: 12 Apr 2014
Accepted: 06 Aug 2014

Published online: 15 Mar 2015 *

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