Hierarchical sliding mode surface-based adaptive neural fault-tolerant control for switched nonlinear systems with average dwell time
Tóm tắt
This paper studies the adaptive neural fault-tolerant control (FTC) problem of a class of switched nonstrict-feedback nonlinear systems (NFNSs) via adopting the hierarchical sliding mode control (HSMC) method and the average dwell time (ADT) switching strategy. First, the original system is transformed into a new system with unknown compound nonlinear functions. Then, by utilizing the robust approximation capability of neural networks (NNs), the compound nonlinear functions are identified online. Furthermore, a novel hierarchical sliding mode surface-based adaptive neural fault-tolerant controller is designed, in which the denominator singular issue is successfully handled by using a modified projection algorithm. By means of the Lyapunov stability theory, it is proved that the proposed control method can ensure the boundedness of all signals of the considered NFNS. Eventually, a practical continuous stirred tank reactor example is given to verify the validity of the proposed HSMS-based adaptive neural FTC method.
Tài liệu tham khảo
Liu, L., Liu, Y., Tong, S.: Neural networks-based adaptive finite-time fault-tolerant control for a class of strict-feedback switched nonlinear systems. IEEE Trans. Cybernet. 49(7), 2536–2545 (2018)
Wang, H., Bai, W., Zhao, X., Liu, P.X.: Finite-time-prescribed performance-based adaptive fuzzy control for strict-feedback nonlinear systems with dynamic uncertainty and actuator faults. IEEE Trans. Cybernet. 52(7), 6959–6971 (2021)
Parsa, P., Akbarzadeh-T, M.R., Baghbani, F.: Command-filtered backstepping robust adaptive emotional control of strict-feedback nonlinear systems with mismatched uncertainties. Inf. Sci. 579, 434–453 (2021)
Mahdy, A.: A numerical method for solving the nonlinear equations of Emden-fowler models. J. Ocean Eng. Sci. (2022). https://doi.org/10.1016/j.joes.2022.04.019
Huang, S., Zong, G., Wang, H., Zhao, X., Alharbi, K.: Command Filter-Based Adaptive Fuzzy Self-Triggered Control for MIMO Nonlinear Systems with Time-Varying Full-State Constraints. Int. J. Fuzzy Syst. (2023). https://doi.org/10.1007/s40815-023-01560-8
Zhao, Y., Niu, B., Zong, G., Zhao, X., Alharbi, K.: Neural network-based adaptive optimal containment control for non-affine nonlinear multi-agent systems within an identifier-actor-critic framework. J. Franklin Inst. 360(12), 8118–8143 (2023)
Mahdy, A.M., Lotfy, K., El-Bary, A.: Use of optimal control in studying the dynamical behaviors of fractional financial awareness models. Soft Comput. 26(7), 3401–3409 (2022)
Zhao, Y., Zhang, H., Chen, Z., Wang, H., Zhao, X.: Adaptive neural decentralised control for switched interconnected nonlinear systems with backlash-like hysteresis and output constraints. Int. J. Syst. Sci. 53(7), 1545–1561 (2022)
Xu, N., Chen, Z., Niu, B., Zhao, X.: Event-triggered distributed consensus tracking for nonlinear multi-agent systems: a minimal approximation approach. IEEE J. Emerg. Select. Top. Circuits Syst. (2023). https://doi.org/10.1109/JETCAS.2023.3277544
Sun, Y., Gao, C., Wu, L.B., Yang, Y.H.: Fuzzy observer-based command filtered tracking control for uncertain strict-feedback nonlinear systems with sensor faults and event-triggered technology. Nonlinear Dyn. 111(9), 8329–8345 (2023)
Wu, W., Xu, N., Niu, B., Zhao, X., Ahmad, A.: Low-Computation Adaptive Saturated Self-Triggered Tracking Control of Uncertain Networked Systems. Electronics. 12(13), 2771 (2023)
Mahdy, A.M.: Stability, existence, and uniqueness for solving fractional glioblastoma multiforme using a caputo-fabrizio derivative. Math. Methods Appl. Sci. (2023). https://doi.org/10.1002/mma.9038
Li, Y., Tong, S.: Adaptive fuzzy output-feedback stabilization control for a class of switched nonstrict-feedback nonlinear systems. IEEE Trans. Cybernet. 47(4), 1007–1016 (2016)
Cheng, F., Wang, H., Zhang, L., Ahmad, A., Xu, N.: Decentralized adaptive neural two-bit-triggered control for nonstrict-feedback nonlinear systems with actuator failures. Neurocomputing 500, 856–867 (2022)
Wu, T., Yu, Z., Li, S.: Observer-based adaptive fuzzy quantized fault tolerant control of nonstrict-feedback nonlinear systems with sensor fault. IEEE Trans. Fuzzy Syst. 31(6), 1900–1911 (2023)
Li, Y., Wang, H., Zhao, X., Xu, N.: Event-triggered adaptive tracking control for uncertain fractional-order nonstrict-feedback nonlinear systems via command filtering. Int. J. Robust Nonlinear Control 32(14), 7987–8011 (2022)
Zhao, H., Wang, H., Xu, N., Zhao, X., Sharaf, S.: Fuzzy approximation-based optimal consensus control for nonlinear multiagent systems via adaptive dynamic programming. Neurocomputing. 533, 126529 (2023)
Tang, F., Wang, H., Zhang, L., Xu, N., Ahmad, A.: Adaptive optimized consensus control for a class of nonlinear multi-agent systems with asymmetric input saturation constraints and hybrid faults. Commun. Nonlinear Sci. Numer. Simul. 126, 107446 (2023)
Zhang, J., Niu, B., Wang, D., Wang, H., Duan, P., Zong, G.: Adaptive neural control of nonlinear nonstrict feedback systems with full-state constraints: a novel nonlinear mapping method. IEEE Trans. Neural Netw. Learn. Syst. 34(2), 999–1007 (2023)
Sui, S., Xu, H., Chen, C.P., Tong, S.: Non-singular fixed-time control of non-strict feedback mimo nonlinear system with asymptotically convergent tracking error. IEEE Trans. Fuzzy Syst. 31(5), 1689–1702 (2023)
Zhao, X., Wang, X., Ma, L., Zong, G.: Fuzzy approximation based asymptotic tracking control for a class of uncertain switched nonlinear systems. IEEE Trans. Fuzzy Syst. 28(4), 632–644 (2019)
Tang, F., Niu, B., Wang, H., Zhang, L., Zhao, X.: Adaptive fuzzy tracking control of switched mimo nonlinear systems with full state constraints and unknown control directions. IEEE Trans. Circuits Syst. II Express Briefs 69(6), 2912–2916 (2022)
Zhang, H., Zhao, X., Zhang, L., Niu, B., Zong, G., Xu, N.: Observer-based adaptive fuzzy hierarchical sliding mode control of uncertain under-actuated switched nonlinear systems with input quantization. Int. J. Robust Nonlinear Control 32(14), 8163–8185 (2022)
Guo, S., Zhao, X., Wang, H., Xu, N.: Distributed consensus of heterogeneous switched nonlinear multiagent systems with input quantization and dos attacks. Appl. Math. Comput. 456, 128127 (2023)
Chen, H., Lim, C., Shi, P.: Robust-based control for uncertain stochastic fuzzy switched time-delay systems via integral sliding mode strategy. IEEE Trans. Fuzzy Syst. 30(2), 382–396 (2022)
Huo, X., Ma, L., Zhao, X., Zong, G.: Event-triggered adaptive fuzzy output feedback control of mimo switched nonlinear systems with average dwell time. Appl. Math. Comput. 365, 124665 (2020)
Zhao, X.Q., Guo, S., Long, Y., Zhong, G.X.: Simultaneous fault detection and control for discrete-time switched systems under relaxed persistent dwell time switching. Appl. Math. Comput. 412, 126585 (2022)
Chen, Y., Lazar, M.: An efficient mpc algorithm for switched systems with minimum dwell time constraints. Automatica 143, 110453 (2022)
Zeng, D., Liu, Z., Chen, C.P., Zhang, Y., Wu, Z.: Adaptive fuzzy output-feedback predefined-time control of nonlinear switched systems with admissible edge-dependent average dwell time. IEEE Trans. Fuzzy Syst. 30(12), 5337–5350 (2022)
Nojoumian, M.A., Zakerzadeh, M.R., Ayati, M.: Stabilization of delayed switched positive nonlinear systems under mode dependent average dwell time: a bumpless control scheme. Nonlinear Anal. Hybrid Syst. 47, 101300 (2023)
Cao, X., Zhang, C., Zhao, D., Li, Y.: Guaranteed cost positive consensus for multi-agent systems with multiple time-varying delays and mdadt switching. Nonlinear Dyn. 107(4), 3557–3572 (2022)
Liu, L., Cui, Y., Liu, Y.J., Tong, S.: Observer-based adaptive neural output feedback constraint controller design for switched systems under average dwell time. IEEE Trans. Circuits Syst. I Regular Papers 68(9), 3901–3912 (2021)
Gunasekaran, N., Ali, M.S., Arik, S., Ghaffar, H.A., Diab, A.A.Z.: Finite-time and sampled-data synchronization of complex dynamical networks subject to average dwell-time switching signal. Neural Netw. 149, 137–145 (2022)
Zhang, H., Wang, H., Niu, B., Zhang, L., Ahmad, A.M.: Sliding-mode surface-based adaptive actor-critic optimal control for switched nonlinear systems with average dwell time. Inf. Sci. 580, 756–774 (2021)
Wang, T., Wang, H., Xu, N., Zhang, L., Alharbi, K.H.: Sliding-mode surface-based decentralized event-triggered control of partially unknown interconnected nonlinear systems via reinforcement learning. Inf. Sci. 641, 119070 (2023)
Zhang, Z., Guo, Y., Gong, D., Liu, J.: Global integral sliding-mode control with improved nonlinear extended state observer for rotary tracking of a hydraulic roofbolter. IEEE/ASME Trans. Mechatron. 28(1), 483–494 (2022)
Mobayen, S., Bayat, F., ud Din, S., Vu, M.T.: Barrier function-based adaptive nonsingular terminal sliding mode control technique for a class of disturbed nonlinear systems. ISA Trans. 134, 481–496 (2023)
Zhang, H., Zhao, X., Wang, H., Zong, G., Xu, N.: Hierarchical sliding-mode surface-based adaptive actor-critic optimal control for switched nonlinear systems with unknown perturbation. IEEE Trans. Neural Netw. Learn. Syst. (2022). https://doi.org/10.1109/TNNLS.2022.3183991
Yue, S., Niu, B., Wang, H., Zhang, L., Ahmad, A.: Hierarchical sliding mode-based adaptive fuzzy control for uncertain switched under-actuated nonlinear systems with input saturation and dead-zone. Rob. Intell. Autom. 43(5), 523–536
Zhang, X., Zhang, L., Zhao, X., Zhao, N.: Reachable set control for singular systems with disturbance via sliding mode control. J. Frankl. Inst. 360(4), 3307–3329 (2023)
Zhao, H., Zong, G., Zhao, X., Wang, H., Xu, N., Zhao, N.: Hierarchical Sliding-Mode Surface-Based Adaptive Critic Tracking Control for Nonlinear Multiplayer Zero-Sum Games via Generalized Fuzzy Hyperbolic Models. IEEE Transactions on Fuzzy Systems.(2023). https://doi.org/10.1109/TFUZZ.2023.3273566
Zhang, H., Xu, N., Zong, G., Alkhateeb, A.F.: Adaptive fuzzy hierarchical sliding mode control of uncertain under-actuated switched nonlinear systems with actuator faults. Int. J. Syst. Sci. 52(8), 1499–1514 (2021)
Wang, X., Zhou, Y., Huang, T., Chakrabarti, P.: Event-triggered adaptive fault-tolerant control for a class of nonlinear multiagent systems with sensor and actuator faults. IEEE Trans. Circuits Syst. I Regular Papers 69(10), 4203–4214 (2022)
Zhao, Y., Wang, H., Xu, N., Zong, G., Zhao, X.: Reinforcement learning-based decentralized fault tolerant control for constrained interconnected nonlinear systems. Chaos, Solitons & Fractals 167, 113034 (2023)
Wei, Q., Li, H., Li, T., Wang, F.Y.: A novel data-based fault-tolerant control method for multicontroller linear systems via distributed policy iteration. IEEE Trans. Syst. Man Cybernet. Syst. 53(5), 3176–3186 (2023)
Sun, K., Liu, L., Qiu, J., Feng, G.: Fuzzy adaptive finite-time fault-tolerant control for strict-feedback nonlinear systems. IEEE Trans. Fuzzy Syst. 29(4), 786–796 (2020)
Ma, L., Xu, N., Zhao, X., Zong, G., Huo, X.: Small-gain technique-based adaptive neural output-feedback fault-tolerant control of switched nonlinear systems with unmodeled dynamics. IEEE Trans. Syst. Man Cybernet. Syst. 51(11), 7051–7062 (2020)
Guo, X., Xu, W., Wang, J., Park, J.: Distributed neuroadaptive fault-tolerant sliding-mode control for 2-d plane vehicular platoon systems with spacing constraints and unknown direction faults. Automatica 129, 109675 (2021)
Zhang, H., Zhao, X., Zong, G., Xu, N.: Fully distributed consensus of switched heterogeneous nonlinear multi-agent systems with bouc-wen hysteresis input. IEEE Trans. Netw. Sci. Eng. 9(6), 4198–4208 (2022)
Dipierro, S., Ros-Oton, X., Serra, J., Valdinoci, E.: Non-symmetric stable operators: regularity theory and integration by parts. Adv. Math. 401, 108321 (2022)
Zhang, H., Zhao, X., Wang, H., Niu, B., Xu, N.: Adaptive tracking control for output-constrained switched mimo pure-feedback nonlinear systems with input saturation. J. Syst. Sci. Complex. 36(3), 960–984 (2023)
Cheng, Y., Niu, B., Zhao, X., Zong, G., Ahmad, A.M.: Event-triggered adaptive decentralised control of interconnected nonlinear systems with bouc-wen hysteresis input. Int. J. Syst. Sci. 54(6), 1275–1288 (2023)
Cao, Z., Niu, B., Zong, G., Zhao, X., Ahmad, A.M.: Active disturbance rejection-based event-triggered bipartite consensus control for nonaffine nonlinear multiagent systems. Int. J. Robust Nonlinear Control 33(12), 7181–7203 (2023)