Intelligent digital redesign for nonlinear systems with parametric uncertainties

Hwa Chang Sung, Jin Bae Park, Young Hoon Joo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

This paper presents intelligent digital redesign (IDR) method of global approach for fuzzy-model-based controllers. For effectiveness and stabilization of continuous-time uncertain nonlinear systems under discrete-time controller, Takagi-Sugeno(T-S) fuzzy model is used to represent the complex system. And global approach design problems viewed as a convex optimization problem that we minimize the error of the norm bounds between nonlinearly interpolated linear operators to be matched. Also, by using the power series, we analyzed nonlinear system's uncertain parts more precisely. When a sampling period is sufficiently small, the conversion of a continuous-time structured uncertain nonlinear system to an equivalent discrete-time system have proper reason. Sufficiently conditions for the global state-matching of the digitally controlled system are formulated in terms of linear matrix inequalities (LMIs). Finally, a T-S fuzzy model for the chaotic Lorentz system is used as an example to guarantee the stability and effectiveness of the proposed method.

Original languageEnglish
Title of host publication2006 SICE-ICASE International Joint Conference
Pages3150-3155
Number of pages6
DOIs
Publication statusPublished - 2006 Dec 1
Event2006 SICE-ICASE International Joint Conference - Busan, Korea, Republic of
Duration: 2006 Oct 182006 Oct 21

Other

Other2006 SICE-ICASE International Joint Conference
CountryKorea, Republic of
CityBusan
Period06/10/1806/10/21

Fingerprint

Nonlinear systems
Controllers
Convex optimization
Linear matrix inequalities
Large scale systems
Stabilization
Sampling
Uncertainty

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Sung, H. C., Park, J. B., & Joo, Y. H. (2006). Intelligent digital redesign for nonlinear systems with parametric uncertainties. In 2006 SICE-ICASE International Joint Conference (pp. 3150-3155). [4108186] https://doi.org/10.1109/SICE.2006.314822
Sung, Hwa Chang ; Park, Jin Bae ; Joo, Young Hoon. / Intelligent digital redesign for nonlinear systems with parametric uncertainties. 2006 SICE-ICASE International Joint Conference. 2006. pp. 3150-3155
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Sung, HC, Park, JB & Joo, YH 2006, Intelligent digital redesign for nonlinear systems with parametric uncertainties. in 2006 SICE-ICASE International Joint Conference., 4108186, pp. 3150-3155, 2006 SICE-ICASE International Joint Conference, Busan, Korea, Republic of, 06/10/18. https://doi.org/10.1109/SICE.2006.314822

Intelligent digital redesign for nonlinear systems with parametric uncertainties. / Sung, Hwa Chang; Park, Jin Bae; Joo, Young Hoon.

2006 SICE-ICASE International Joint Conference. 2006. p. 3150-3155 4108186.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Sung HC, Park JB, Joo YH. Intelligent digital redesign for nonlinear systems with parametric uncertainties. In 2006 SICE-ICASE International Joint Conference. 2006. p. 3150-3155. 4108186 https://doi.org/10.1109/SICE.2006.314822