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This paper presents a finite-time control strategy for uncertain systems with unknown time-invariant parameters. The finite-time adaptive robust controller is designed via Lyapunov approach, where projection-type integral and incremental adaptation laws are applied in estimation of the time-invariant parametric uncertainties, respectively. The terminal attractor is suggested in the adaptive robust...
This paper presents feedback-aided iterative learning control strategies for linear time-invariant systems. Sufficient conditions of convergence of the feedback-aided PD-type learning algorithm are derived, and the converged output trajectory is given. The initial rectifying action is applied to eliminate the effect of initial shifts. It is shown that the system output converges to the desired one...
This paper presents a piecewise-reaching variable structure repetitive control method for uncertain discrete-time linear system. As for the reaching law approach, one needs to modify the original reaching law, as the resultant error dynamics depend on the system uncertainties, By embedding the performance measure of uncertainty rejection into the reaching law to form the ideal switching dynamics,...
This paper presents the convergence property for a sequence of functions over a finite interval of time, which square integral has a zero limit. It is proven that if such a sequence of functions is equicontinuous, the sequence itself will converge uniformly to zero over the entire interval. For illustration purposes, this result is applied and its usefulness shown in learning control systems analysis.
Terminal attractors are usually used to solve the finite time tracking problem. In this paper, a novel kind of finite time attractors, referred to as initial rectifying attractors, is proposed for solving the same problem. An initial rectifying attractor is chosen to form the switching function and the variable structure controller based on the initial rectifying sliding mode is developed for a class...
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