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Abstract:
For a kind of continuous-time nonlinear systems with uncertainties, a robust tracking control method is established based on critic learning formulation with single network. Firstly, an augmented system consisting of the tracking error and the reference trajectory is established, and the robust tracking control problem is transformed into a stabilization design problem. By adopting a cost function with a discount factor and a special utility term, the robust stabilization problem is transformed into an optimal control problem. Then, the optimal cost function is estimated by building a critic neural network, and consequently the optimal tracking control algorithm can be derived. In order to relax the initial admissible control conditions in the proposed algorithm, an extra term is added to the weight updating law of the critic neural network. Furthermore, the stability of the closed-loop system and the robust tracking performance are proved using the Lyapunov approach. Finally, the effectiveness and applicability of the developed approach are demonstrated via simulation results. © 2023 Northeast University. All rights reserved.
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Control and Decision
ISSN: 1001-0920
Year: 2023
Issue: 11
Volume: 38
Page: 3066-3074
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 7
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