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Review of Computer Engineering Research

June 2019, Volume 6, 2, pp 57-63

Stability Analysis of Type-2 Fuzzy Process Control Using LMI

Manivasagam Rajendran


Prabhu Aruchunan

Manivasagam Rajendran 1 ,

Prabhu Aruchunan 1 
  1. Department of Electrical and Electronics Engineering, K. Ramakrishnan College of Engineering, India. 1

Pages: 57-63

DOI: 10.18488/journal.76.2019.62.57.63

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Article History:

Received: 06 June, 2019
Revised: 10 July, 2019
Accepted: 16 August, 2019
Published: 26 September, 2019


This paper exhibits a type of fuzzy robust plan designed for nonlinear time-delay system based on the fuzzy Lyapunov method. In addition, the obtainable delay-self-governing state is changed into linear matrix inequalities (LMIs) consequently the fuzzy state response gain and regular solutions are numerically possible by nature inspired optimization algorithm. LMI approach for determining robust stability of non-linear system such as to an exothermic continuous-time stirred tank reactor (CSTR) by parametric uncertainties. Essential and satisfactory circumstances intended for stabilization of a linear continuous-time uncertain system through static output feedback are specified at earliest. After that the difficulty of robust static output feedback control plan is transformed to resolution of linear matrix inequalities (LMIs) and two LMI based algorithms, iterative and non-iterative ones are used. The design process guarantee by satisfactory circumstances the healthy quadratic stability and assured price. The opportunity to utilize a healthy static output response for control of CSTRs with suspicions is verified via simulation results.
Contribution/ Originality
This study is one of the very few studies which have investigated about T-S Fuzzy Technique. Here two techniques are used to control, nonlinear plant CSTR model. LMI approach for determining robust stability of non-linear system such as to an exothermic continuous-time stirred tank reactor (CSTR) by parametric uncertainties.


Linear matrix inequality (LMI), Continuous stirred tank reactor (CSTR), Fuzzy logic controller (FLC) Proportional integral derivative (PID).



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This study received no specific financial support.

Competing Interests:

The authors declare that they have no competing interests.


Both authors contributed equally to the conception and design of the study.

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