State feedback fuzzy-model-based control for discrete-time Markovian jump nonlinear systems with time-varying delays

Min Kook Song, Jin Bae Park, Young Hoon Joo, Jin Kyu Kim

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

2 Citations (Scopus)

Abstract

In this paper, the stability analysis and stabilization problem for a discrete-time Markovian jump nonlinear systems (MJLNS) with time-varying delays are investigated. The time-delay is considered to be time-varying and has a upper bound. The transition probabilities of the mode jumps are considered to be completely known. Sufficient conditions for stochastic stability of the markovian jump fuzzy systems (MJFS) are derived via the linear matrix inequality (LMI) formulation, and the design of the stabilizing controller is further given. A numerical example is used to illustrate the developed theory.

Original languageEnglish
Title of host publication2009 IEEE International Conference on Fuzzy Systems - Proceedings
Pages2105-2108
Number of pages4
DOIs
Publication statusPublished - 2009 Dec 10
Event2009 IEEE International Conference on Fuzzy Systems - Jeju Island, Korea, Republic of
Duration: 2009 Aug 202009 Aug 24

Publication series

NameIEEE International Conference on Fuzzy Systems
ISSN (Print)1098-7584

Other

Other2009 IEEE International Conference on Fuzzy Systems
CountryKorea, Republic of
CityJeju Island
Period09/8/2009/8/24

Fingerprint

Jump System
Model-based Control
Fuzzy Model
Time-varying Delay
Fuzzy Control
State feedback
State Feedback
Nonlinear systems
Discrete-time
Nonlinear Systems
Stochastic Stability
Fuzzy systems
Linear matrix inequalities
Transition Probability
Fuzzy Systems
Matrix Inequality
Linear Inequalities
Stability Analysis
Time Delay
Time delay

All Science Journal Classification (ASJC) codes

  • Software
  • Theoretical Computer Science
  • Artificial Intelligence
  • Applied Mathematics

Cite this

Song, M. K., Park, J. B., Joo, Y. H., & Kim, J. K. (2009). State feedback fuzzy-model-based control for discrete-time Markovian jump nonlinear systems with time-varying delays. In 2009 IEEE International Conference on Fuzzy Systems - Proceedings (pp. 2105-2108). [5277162] (IEEE International Conference on Fuzzy Systems). https://doi.org/10.1109/FUZZY.2009.5277162
Song, Min Kook ; Park, Jin Bae ; Joo, Young Hoon ; Kim, Jin Kyu. / State feedback fuzzy-model-based control for discrete-time Markovian jump nonlinear systems with time-varying delays. 2009 IEEE International Conference on Fuzzy Systems - Proceedings. 2009. pp. 2105-2108 (IEEE International Conference on Fuzzy Systems).
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Song, MK, Park, JB, Joo, YH & Kim, JK 2009, State feedback fuzzy-model-based control for discrete-time Markovian jump nonlinear systems with time-varying delays. in 2009 IEEE International Conference on Fuzzy Systems - Proceedings., 5277162, IEEE International Conference on Fuzzy Systems, pp. 2105-2108, 2009 IEEE International Conference on Fuzzy Systems, Jeju Island, Korea, Republic of, 09/8/20. https://doi.org/10.1109/FUZZY.2009.5277162

State feedback fuzzy-model-based control for discrete-time Markovian jump nonlinear systems with time-varying delays. / Song, Min Kook; Park, Jin Bae; Joo, Young Hoon; Kim, Jin Kyu.

2009 IEEE International Conference on Fuzzy Systems - Proceedings. 2009. p. 2105-2108 5277162 (IEEE International Conference on Fuzzy Systems).

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

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Song MK, Park JB, Joo YH, Kim JK. State feedback fuzzy-model-based control for discrete-time Markovian jump nonlinear systems with time-varying delays. In 2009 IEEE International Conference on Fuzzy Systems - Proceedings. 2009. p. 2105-2108. 5277162. (IEEE International Conference on Fuzzy Systems). https://doi.org/10.1109/FUZZY.2009.5277162