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In this paper, the problem of adaptive backstepping repetitive learning control is addressed for a class of periodically time-varying discrete-time strict-feedback systems. A repetitive learning least squares algorithm is applied for parameter estimation, where the lower bound for the control gain is introduced to avoid the potential singularity. An iteration-domain key technical lemma is given for...
In this paper, nonlinear observers are incorporated into the adaptive control to synthesize controllers for a class of uncertain nonlinear systems with unknown sinusoidal disturbances which are presented in matched and unmatched forms. In addition to magnitudes and phases, frequencies of the sinusoidal disturbances need not be known as well, so long as the overall order is known. Nonlinear observers...
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