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Bouncing Ball with a Uniformly Varying Velocity in a Metronome Synchronization Task
Published on: September 21, 2017
Robust synchronization of chaotic systems subject to parameter uncertainties.
He Huang1, Gang Feng, Yonghui Sun
1Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, People's Republic of China. hhuang@student.cityu.edu.hk
Chaos (Woodbury, N.Y.)
|October 2, 2009
Summary
This study addresses robust synchronization in uncertain chaotic Lur
Area of Science:
- Chaos theory and control systems engineering.
- Nonlinear dynamics and systems analysis.
Background:
- Chaotic Lur'e systems are complex dynamical systems susceptible to parameter uncertainties.
- Achieving robust synchronization in these systems is crucial for secure communication and signal processing applications.
- Mismatched parameter uncertainties in master systems pose significant challenges to synchronization.
Purpose of the Study:
- To develop a robust control strategy for achieving synchronization in uncertain chaotic Lur'e systems.
- To design an integral sliding mode control approach that guarantees stability and reachability despite parameter uncertainties.
Main Methods:
- Construction of a novel integral sliding surface.
- Derivation of delay-dependent stability conditions using linear matrix inequalities (LMIs).
- Design of an integral sliding mode controller and an adaptive version for unknown uncertainty bounds.
Main Results:
- The proposed method ensures global asymptotic stability of the error system within the sliding surface.
- The designed controller guarantees the reachability of the integral sliding surface.
- An adaptive controller effectively handles unknown bounds of mismatched parameter uncertainties.
Conclusions:
- The integral sliding mode control approach provides an effective solution for robust synchronization in uncertain chaotic Lur'e systems.
- The developed adaptive controller enhances robustness by accommodating unknown parameter uncertainty bounds.
- The effectiveness is validated using the Chua's circuit as a practical example.
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