Abstract
A novel concept for controlling of nonlinear systems using chaos and fuzzy model-based regulators is presented. In the control of such systems, we employ two phases, the first of which uses open-loop control forming a chaotic attractor or using chaotic inherent features in a system itself. Once the system states reach a predefined convex domain, open-loop control is cut off and a fuzzy model-based controller is employed under state feedback control in the second phase. The relaxed stability conditions and linear matrix inequalities (LMIs)-based design for a fuzzy regulator is introduced to construct a fuzzy attractive domain, in which a global solution is obtained so as to achieve the desired stability condition of the closed-loop system. The proposed controller architecture has been tested using three nonlinear systems: the Henon map, the Lorenz attractor, and a two-link manipulator. The simulation results show the effectiveness of the proposed controller.
| Original language | English |
|---|---|
| Pages (from-to) | 401-411 |
| Number of pages | 11 |
| Journal | IEEE Transactions on Fuzzy Systems |
| Volume | 10 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Jun 1 2002 |
| Externally published | Yes |
Keywords
- Chaotic systems
- Convex domains
- Fuzzy model-based control
- Linear matrix inequalities (LMIs)
- Lyapunov stability
- Nonlinear dynamics
ASJC Scopus subject areas
- Control and Systems Engineering
- Computational Theory and Mathematics
- Artificial Intelligence
- Applied Mathematics