An approach to anticontrol of chaos for a discrete-time TS fuzzy system

Z. Li, J. B. Park, Y. H. Joo

Research output: Contribution to conferencePaper

Abstract

An approach is proposed for making a given stable Takagi-Sugeno (TS) fuzzy system chaotic by using state feedback control of arbitrarily small magnitude. The feedback controller chosen among several candidates is a simple sinusoidal function of the system states, which can lead to uniformly bounded state vectors of the controlled system with positive Lyapunov exponents, and satisfy the chaotic mechanisms of stretching and folding, thereby yielding chaotic dynamics. This approach is mathematically proven for rigorous generation of chaos from a stable TS fuzzy system, where the chaos is in the sense of Li and Yorke. A numerical example is included to visualize the theoretical analysis and the controller design.

Original languageEnglish
Pages1633-1638
Number of pages6
Publication statusPublished - 2001 Jan 1
Event2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001) - Pusan, Korea, Republic of
Duration: 2001 Jun 122001 Jun 16

Other

Other2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001)
CountryKorea, Republic of
CityPusan
Period01/6/1201/6/16

Fingerprint

Fuzzy systems
Chaos theory
Controllers
State feedback
Stretching
Feedback control
Feedback

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

Li, Z., Park, J. B., & Joo, Y. H. (2001). An approach to anticontrol of chaos for a discrete-time TS fuzzy system. 1633-1638. Paper presented at 2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001), Pusan, Korea, Republic of.
Li, Z. ; Park, J. B. ; Joo, Y. H. / An approach to anticontrol of chaos for a discrete-time TS fuzzy system. Paper presented at 2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001), Pusan, Korea, Republic of.6 p.
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Li, Z, Park, JB & Joo, YH 2001, 'An approach to anticontrol of chaos for a discrete-time TS fuzzy system' Paper presented at 2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001), Pusan, Korea, Republic of, 01/6/12 - 01/6/16, pp. 1633-1638.

An approach to anticontrol of chaos for a discrete-time TS fuzzy system. / Li, Z.; Park, J. B.; Joo, Y. H.

2001. 1633-1638 Paper presented at 2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001), Pusan, Korea, Republic of.

Research output: Contribution to conferencePaper

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Li Z, Park JB, Joo YH. An approach to anticontrol of chaos for a discrete-time TS fuzzy system. 2001. Paper presented at 2001 IEEE International Symposium on Industrial Electronics Proceedings (ISIE 2001), Pusan, Korea, Republic of.