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In this paper, we presents a new nonlinear iterative learning control law for a class of nonlinear systems, denoted NP-D-INP-D, which is composed by limiting the action of error in PID learning law, that is, use a bounded nonlinear function of error instead of error, and adding a differential feedback in the integrator of PID learning law to inject the suited damping. By using Bellman-Gronwall lemma,...
In this paper, an optimal control scheme for a class of non-affine nonlinear systems with time-delays in state and control variables is developed using a new iterative adaptive dynamic programming (ADP) algorithm. By introducing delay matrix functions, the explicit expression of optimal control is solved using the dynamic programming theory and the optimal control can iteratively be solved using the...
In this paper, we aim to solve the infinite-time optimal tracking control problem for a class of discrete-time nonlinear systems using the greedy heuristic dynamic programming (HDP) iteration algorithm. A new type of performance index is defined because the existing performance indexes are very difficult in solving this kind of tracking problem, if not impossible. Via system transformation, the optimal...
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