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Adaptive fuzzy controller for non-affine systems with zero dynamics
- Source :
- International Journal of Systems Science, International Journal of Systems Science, Taylor & Francis, 2009, 40 (4), pp.367-382. ⟨10.1080/00207720802436919⟩
- Publication Year :
- 2009
- Publisher :
- Informa UK Limited, 2009.
-
Abstract
- International audience; In this article, the direct adaptive fuzzy control problem is investigated for a class of general non-linear systems with zero dynamics. The direct adaptive fuzzy controller is developed based on a unified observer which is used to estimate the time derivatives of the output. The corrective term of the proposed observer involves a well-defined design function which is shown to be satisfied by the commonly used high-gain-based observers, namely for the usual high-gain observers and the sliding-mode observers together with their implementable versions. By using a general error function, and without resorting to the famous strictly positive real condition or the filtering of the observation error, a general proportional-integral (PI) law for updating the fuzzy parameters is proposed. Ultimately boundedness of the error signals is shown through Lyapunov's direct method. Theoretical results are illustrated through two simulation examples.
- Subjects :
- Lyapunov function
0209 industrial biotechnology
Variable structure control
Adaptive control
Observer (quantum physics)
02 engineering and technology
Fuzzy control system
Nonlinear control
Fuzzy logic
Computing methodologies
[SPI.AUTO]Engineering Sciences [physics]/Automatic
Computer Science Applications
Theoretical Computer Science
symbols.namesake
020901 industrial engineering & automation
Control and Systems Engineering
Control theory
[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering
0202 electrical engineering, electronic engineering, information engineering
symbols
Fuzzy number
020201 artificial intelligence & image processing
Mathematics
Subjects
Details
- ISSN :
- 14645319 and 00207721
- Volume :
- 40
- Database :
- OpenAIRE
- Journal :
- International Journal of Systems Science
- Accession number :
- edsair.doi.dedup.....815669fcf6e9fc56e15be1d749199c26