PMID- 31945008 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20210519 IS - 2168-2275 (Electronic) IS - 2168-2267 (Linking) VI - 51 IP - 6 DP - 2021 Jun TI - Sliding-Mode Surface-Based Approximate Optimal Control for Uncertain Nonlinear Systems With Asymptotically Stable Critic Structure. PG - 2858-2869 LID - 10.1109/TCYB.2019.2962011 [doi] AB - This article develops a novel sliding-mode surface (SMS)-based approximate optimal control scheme for a large class of nonlinear systems affected by unknown mismatched perturbations. The observer-based perturbation estimation procedure is employed to establish the online updated value function. The solution to the Hamilton-Jacobi-Bellman equation is approximated by an SMS-based critic neural network whose weights error dynamics is designed to be asymptotically stable by nested update laws. The sliding-mode control strategy is combined with the approximate optimal control design procedure to obtain a faster control action. The stability is proved based on the Lyapunov's direct method. The simulation results show the effectiveness of the developed control scheme. FAU - Zhao, Bo AU - Zhao B FAU - Liu, Derong AU - Liu D FAU - Alippi, Cesare AU - Alippi C LA - eng PT - Journal Article DEP - 20210518 PL - United States TA - IEEE Trans Cybern JT - IEEE transactions on cybernetics JID - 101609393 SB - IM EDAT- 2020/01/17 06:00 MHDA- 2020/01/17 06:01 CRDT- 2020/01/17 06:00 PHST- 2020/01/17 06:00 [pubmed] PHST- 2020/01/17 06:01 [medline] PHST- 2020/01/17 06:00 [entrez] AID - 10.1109/TCYB.2019.2962011 [doi] PST - ppublish SO - IEEE Trans Cybern. 2021 Jun;51(6):2858-2869. doi: 10.1109/TCYB.2019.2962011. Epub 2021 May 18.