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In this paper, the stability of the Third-order Extended State Observer (ESO) as an important component of the Active Disturbance Rejection Controller (ADRC) is investigated. First, the Lyapunov function with particular form is constructed, and the sufficient condition for the asymptotic stability of the Third-order ESO is derived, based on the symmetry and the positive definiteness of Lyapunov function...
In this paper, we consider the model reference adaptive control (MRAC) problem of switched linear systems in which the parameters and switching time instants are all unknown. We apply the output feedback variable structure (VS) based adaptive controller to switched linear systems with general relative degrees and show error convergence and signal boundedness properties by multiple Lyapunov functions...
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