Abstract
A new nonlinear approach to control chaos behaviour is presented. By applying this proposed nonlinear dissipative controller, it can be shown that the chaotic state of the system dynamics tends to be driven into a well controlled periodic state, or even the steady state. The controller is developed based on the energy consideration, which is insensitive to uncertainties of system model. In this paper, the concept of the controller formulation is introduced. System stability and the necessary mathematical proofs are given. These are further justified by simulation runs. The advantage of this approach is that it provides a rapid change of system state and system stability are always guaranteed. Therefore, it can be potentially used for designing various oscillators including analog radio frequency oscillators.
Original language | English |
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Pages (from-to) | 709-714 |
Number of pages | 6 |
Journal | IFAC Proceedings Volumes |
Volume | 28 |
Issue number | 14 |
DOIs | |
Publication status | Published - Jun 1995 |
Externally published | Yes |
Event | 3rd IFAC Symposium on Nonlinear Control Systems Design 1995 - Tahoe City, United States Duration: 25 Jun 1995 → 28 Jun 1995 |
Keywords
- Dissipative
- Duffing System
- Energy
- Nonlinear Control
- Stability