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A new extended minimal control synthesis algorithm with an application to the control of chaotic systems

This paper investigates an extension to the minimal control synthesis (MCS) algorithm (Stoten and Benchoubane, 1990), for the control of systems with rapidly varying disturbances (plant nonlinearities, parameter variations and external inputs), namely a switching action whose amplitude is adaptively estimated is added to the original MCS control law. Proof of global asymptotic stability of the error dynamics is given and the algorithm is applied to the problem of controlling a chaotic system. The results are contrasted with those obtained by applying a standard MCS law.