Output Feedback Adaptive Variable Structure Control of Chaos in Lorenz System

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Based on the variable structure model reference adaptive control (VS-MRAC) theory, a new control system for the control of chaos in Lorenz system, using only the measured output variable, is designed. For the derivation of the control law, it is assumed that the parameters of the model are unknown. Moreover, it is assumed that a disturbance input is present in the system. It is shown that in the closed-loop system, the output variable tracks a given reference trajectory, and the state vector converges to the equilibrium state. Digital simulation results show that the closed-loop system has good transient behavior and robustness to the uncertainties and disturbance input.


Adaptive control systems; Chaos control; Chaotic behavior in systems; Control theory; Lorenz system; Nonlinear systems; Variable structure control


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