Journal
NONLINEAR DYNAMICS
Volume 68, Issue 1-2, Pages 235-243Publisher
SPRINGER
DOI: 10.1007/s11071-011-0222-0
Keywords
Chaotic systems; Output feedback; Backstepping approach; Adaptive control; Dynamic Surface Control
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Funding
- National Natural Science Foundation of China [61104017]
- Natural Science Foundation of Liaoning Province [20102095]
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In this paper, an adaptive output feedback control algorithm based on the dynamic surface control (DSC) is proposed for a class of uncertain chaotic systems. Because the system states are assumed to be unavailable, an observer is designed to estimate those unavailable states. The main advantage of this algorithm can overcome the problem of explosion of complexity inherent in the backstepping design. Thus, the proposed control approach is simpler than the traditional backstepping control for the uncertain chaotic systems. The stability analysis shows that the system is stable in the sense that all signals in the closed-loop system are uniformly ultimately bounded (UUB) and the system output can track the reference signal to a bounded compact set. Finally, an example is provided to illustrate the effectiveness of the proposed control system.
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