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Adaptive Synchronization of Filippov Systems with Unknown Parameters via Sliding Mode Control
-
Shihui Fu
und
Ke Li
Veröffentlicht/Copyright:
21. Februar 2013
Abstract
In this paper, adaptive synchronization of Filippov systems with unknown parameters is investigated via sliding mode control. In order to obtain smooth error systems, Filippov systems are redesigned by the Generalized Hamiltonian system. The sliding mode control is applied to the error systems and stabilizes their zero solutions. Adaptive synchronization of chaotic systems via sliding mode control is investigated with the applications to Chua's system and the Duffing Oscillator with dry friction. Numerical simulations are also given to identify the effectiveness of the theoretical analysis.
Keywords: non-smooth system; adaptive synchronization; Generalized Hamiltonian system; sliding mode control
Received: 2012-2-25
Accepted: 2012-12-19
Published Online: 2013-2-21
Published in Print: 2013-2-22
©2013 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- Vapor Films under Influence of High Heat Fluxes: Nongravity Surface Waves and Film Explosive Disintegration
- Dynamic Constitutive Behavior and Fracture of Lanthanum Metal Subjected to Impact Compression at Different Temperatures and Impact Tension
- An Application of the Modified Reductive Perturbation Method to a Generalized Boussinesq Equation
- Switching Design for the Asymptotic Stability and Stabilization of Nonlinear Uncertain Stochastic Discrete-time Systems
- A Novel Two-fluid Model for the Identification of Possible Multiple Solutions in Slightly Inclined Pipelines
- Adaptive Synchronization of Filippov Systems with Unknown Parameters via Sliding Mode Control
- Chebyshev Split-step Scheme for the Sine-Gordon Equation in 2+1 Dimensions
- The Numerical Connection between Map and its Differential Equation: Logistic and Other Systems
- Exact Travelling Wave Solutions for the Modified Fornberg-Whitham Equation
Schlagwörter für diesen Artikel
non-smooth system;
adaptive synchronization;
Generalized Hamiltonian system;
sliding mode control
Artikel in diesem Heft
- Frontmatter
- Vapor Films under Influence of High Heat Fluxes: Nongravity Surface Waves and Film Explosive Disintegration
- Dynamic Constitutive Behavior and Fracture of Lanthanum Metal Subjected to Impact Compression at Different Temperatures and Impact Tension
- An Application of the Modified Reductive Perturbation Method to a Generalized Boussinesq Equation
- Switching Design for the Asymptotic Stability and Stabilization of Nonlinear Uncertain Stochastic Discrete-time Systems
- A Novel Two-fluid Model for the Identification of Possible Multiple Solutions in Slightly Inclined Pipelines
- Adaptive Synchronization of Filippov Systems with Unknown Parameters via Sliding Mode Control
- Chebyshev Split-step Scheme for the Sine-Gordon Equation in 2+1 Dimensions
- The Numerical Connection between Map and its Differential Equation: Logistic and Other Systems
- Exact Travelling Wave Solutions for the Modified Fornberg-Whitham Equation
