Robust H disturbance attenuation control of continuous-time polynomial fuzzy systems

Yong Hoon Jang, Han Sol Kim, Young Hoon Joo, Jin Bae Park

Research output: Contribution to journalArticle

Abstract

This paper introduces a stabilization condition for polynomial fuzzy systems that guarantees H performance under the imperfect premise matching. An H control of polynomial fuzzy systems attenuates the effect of external disturbance. Under the imperfect premise matching, a polynomial fuzzy model and controller do not share the same membership functions. Therefore, a polynomial fuzzy controller has an enhanced design flexibility and inherent robustness to handle parameter uncertainties. In this paper, the stabilization conditions are derived from the polynomial Lyapunov function and numerically solved by the sum-of-squares (SOS) method. A simulation example and comparison of the performance are provided to verify the stability analysis results and demonstrate the effectiveness of the proposed stabilization conditions.

Original languageEnglish
Pages (from-to)429-434
Number of pages6
JournalJournal of Institute of Control, Robotics and Systems
Volume22
Issue number6
DOIs
Publication statusPublished - 2016 Jan 1

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Disturbance Attenuation
Polynomial Systems
Fuzzy systems
Fuzzy Systems
Continuous Time
Stabilization
Polynomials
Fuzzy Controller
Imperfect
Polynomial Model
Sum of squares
Parameter Uncertainty
Polynomial function
Fuzzy Model
Membership Function
Lyapunov Function
Stability Analysis
Disturbance
Flexibility
Controllers

All Science Journal Classification (ASJC) codes

  • Software
  • Control and Systems Engineering
  • Applied Mathematics

Cite this

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Robust H disturbance attenuation control of continuous-time polynomial fuzzy systems. / Jang, Yong Hoon; Kim, Han Sol; Joo, Young Hoon; Park, Jin Bae.

In: Journal of Institute of Control, Robotics and Systems, Vol. 22, No. 6, 01.01.2016, p. 429-434.

Research output: Contribution to journalArticle

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