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https://ptsldigital.ukm.my/jspui/handle/123456789/499531| Title: | Anti-synchronization of chaotic systems via sliding mode control |
| Authors: | Jawaada Wafaa I.M. (P54656) |
| Supervisor: | Mohd Salmi bin Noorani, Prof. Dr. |
| Keywords: | Anti-synchronization of chaotic systems Sliding mode control |
| Issue Date: | 23-Mar-2014 |
| Description: | Recently, a new method of controlling and synchronizing chaotic systems appeared. This so-called sliding mode control method is based on choosing a suitable switching surface for the desired sliding motion and designing the sliding mode controller that brings any orbit in phase space to the switching surface. Hence this scheme is considered very robust under external noise. In this thesis, the anti-synchronization behaviour of chaotic systems is explored by using an active sliding mode control method when the system's parameters are known even with the existence of uncertainties and external disturbances terms. This will make our scheme robust and more reflecting to the real life applications. The sufficient conditions for achieving anti-synchronization of two identical chaotic systems with different initial conditions and two different chaotic systems are derived based on the Lyapunov stability theory. Analysis and numerical simulations are shown for validation purposes. We also demonstrate that anti-synchronization can coexist in two different hyperchaotic systems with terms of parametric uncertainty and external disturbances using robust active sliding mode control method. By using rigorous mathematical theory, the sufficient condition is drawn for the stability of the error dynamics based on the Lyapunov stability theory. Numerical results are presented to justify the theoretical analysis. Meanwhile, an anti–synchronization scheme is proposed to gain the anti–synchronization between chaotic systems with fully unknown parameters. A sliding surface and an adaptive sliding mode controller are designed to gain the anti-synchronization. The stability of the error dynamics is proven theoretically using the Lyapunov stability theory. Finally, numerical results are presented to justify the theoretical analysis. The method is applied for both identical systems with different initial conditions and for different chaotic systems. We also successfully apply this adaptive scheme to achieve anti–synchronization between two identical and different hyperchaotic systems. In addition to the active and adaptive anti–synchronization schemes, we investigate the adaptive reduced order anti-synchronization between two chaotic systems with different orders. We show that dynamical evolution of third-order chaotic system can be anti-synchronized with the canonical projection of a fourth-order chaotic system even though their parameters are unknown using an adaptive reduced order sliding mode controller. We also elaborate the concept of hybrid synchronization of chaotic systems via an adaptive sliding mode control scheme. The scheme is applied and tested numerically for both chaotic and hyperchaotic systems in all cases, sufficient conditions for the anti-synchronization are obtained analytically. All the methods above are tested and successfully applied for several chaotic and hyperchaotic systems. Numerical examples of the techniques are applied to verify the effectiveness of the proposed schemes using Runge–Kutta 4th order method.,PhD |
| Pages: | 148 |
| Call Number: | TJ220.5.J348 2014 tesis |
| Publisher: | UKM, Bangi |
| Appears in Collections: | Faculty of Science and Technology / Fakulti Sains dan Teknologi |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ukmvital_79909+SOURCE1+SOURCE1.0.PDF Restricted Access | 6.11 MB | Adobe PDF |  View/Open |
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