| dc.description.abstract | This dissertation presents an approach to estimate the invariant set and solution bound for a class of chaotic system, and proposes three methods, including fuzzy control, nonlinear and linear control to achieve master-slave synchronization (MSS) for generalized chaotic system, unified chaotic system and generalized Lorenz chaotic system, respectively. First of all, since the invariant set and solution bound are derived, the exponential synchronization can be achieved using a simple linear control law which is very easy implemented. Subsequently, based on Lyapunov theory, robust control, and the concept of the finite–time stability, three methods are proposed to achieve the finite-time synchronization (FTS). In fuzzy control design, Takagi–Sugeno (T–S) fuzzy models are utilized to exactly represent the master and slave chaotic systems, and the H∞ FTS controller is synthesized to achieve FTS with the minimum disturbance attenuation level. In nonlinear control design, the nonlinear controller is synthesized to achieve robust FTS for a class of uncertain unified chaotic system. In the linear control design, based on the auxiliary of solution bound, a simple linear control law is proposed to achieve FTS within a pre–specified convergence time. In addition, all of the proposed FTS controllers are with two adjustable parameters, namely, exponential convergence rate and finite–time convergence rate. Finally, the fuzzy–model–based FTS is applied to secure communication, and its hardware implementation with a field– programmable gate array (FPGA) chip and a personal computer is realized too. Moreover, simulated examples are given to show the feasibility and correctness of the proposed control criteria, and the proposed methods are successfully verified by the practical experiments. | en_US |