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Published in: Journal of Dynamical and Control Systems 2/2018

03-08-2017

Adaptive Dynamic Surface Control of Nonlinear Switched Systems with Prescribed Performance

Authors: Shuyan Qi, Daqing Zhang, Liangdong Guo, Libing Wu

Published in: Journal of Dynamical and Control Systems | Issue 2/2018

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Abstract

This paper studies the adaptive control problem for a class of switched nonlinear systems with guaranteed prescribed performance bounds under arbitrary switchings. The unknown system functions are approximated by radial basis function neural networks. We employ dynamic surface control technique to solve the explosion of the complexity problem. We control the transformed system such that it is stabilizable, by this way, the original system is stabilizable as well as the prescribed performance is guaranteed. The proposed controller and update laws guarantee the stability of the closed-loop system and the boundedness of all signals. Furthermore, the prescribed performance is ensured. Finally, a simulation example is employed to illustrate the effectiveness of the proposed method.

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Literature
1.
go back to reference Nekoukar V, Erfanian A. Adaptive fuzzy terminal sliding mode control for a class of MIMO uncertain nonlinear systems. Fuzzy Sets Syst. 2011;179(1):34–49.MathSciNetCrossRefMATH Nekoukar V, Erfanian A. Adaptive fuzzy terminal sliding mode control for a class of MIMO uncertain nonlinear systems. Fuzzy Sets Syst. 2011;179(1):34–49.MathSciNetCrossRefMATH
2.
go back to reference Wen CY. Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Trans Autom Control. 2011;56(7):1672–8.MathSciNetCrossRefMATH Wen CY. Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Trans Autom Control. 2011;56(7):1672–8.MathSciNetCrossRefMATH
3.
go back to reference Karimi B, Menhaj MB. Non-affine nonlinear adaptive control of decentralized large-scale systems using neural networks. Inf Sci. 2010;180(17):3335–47.MathSciNetCrossRefMATH Karimi B, Menhaj MB. Non-affine nonlinear adaptive control of decentralized large-scale systems using neural networks. Inf Sci. 2010;180(17):3335–47.MathSciNetCrossRefMATH
4.
go back to reference Abhijit D, Frank LL. Distributed adaptive control for synchronization of unknown nonlinear networked systems. Automatica. 2010;46(12):2014–21.MathSciNetCrossRefMATH Abhijit D, Frank LL. Distributed adaptive control for synchronization of unknown nonlinear networked systems. Automatica. 2010;46(12):2014–21.MathSciNetCrossRefMATH
5.
go back to reference Hou ZS, Jin ST. Data-driven model-free adaptive control for a class of MIMO nonlinear discrete-time systems. IEEE Transactions on Neural Networks. 2011;22(12): 2173–88.CrossRef Hou ZS, Jin ST. Data-driven model-free adaptive control for a class of MIMO nonlinear discrete-time systems. IEEE Transactions on Neural Networks. 2011;22(12): 2173–88.CrossRef
6.
go back to reference Chen M, Ge SS, Ren BB. Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints. Automatica. 2011;47(3):452–65.MathSciNetCrossRefMATH Chen M, Ge SS, Ren BB. Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints. Automatica. 2011;47(3):452–65.MathSciNetCrossRefMATH
7.
go back to reference Chen B, Liu XP, Liu KF, Lin C. Fuzzy-approximation-based adaptive control of strict-feedback nonlinear systems with time delays. IEEE Trans Fuzzy Syst. 2010;18(5):883–92.CrossRef Chen B, Liu XP, Liu KF, Lin C. Fuzzy-approximation-based adaptive control of strict-feedback nonlinear systems with time delays. IEEE Trans Fuzzy Syst. 2010;18(5):883–92.CrossRef
8.
go back to reference Li H, Wang L, Du H, Boulkroune A. Adaptive fuzzy backstepping tracking control for strict-feedback systems with input delay. IEEE Trans Fuzzy Syst. 2017;25(3): 642–52.CrossRef Li H, Wang L, Du H, Boulkroune A. Adaptive fuzzy backstepping tracking control for strict-feedback systems with input delay. IEEE Trans Fuzzy Syst. 2017;25(3): 642–52.CrossRef
9.
go back to reference Xua B, Sun FC, Yang CG, Gao DX, Ren JX. Adaptive discrete-time controller design with neural network for hypersonic flight vehicle via back-stepping. Int J Control. 2011;84(9):1543–52.MathSciNetCrossRefMATH Xua B, Sun FC, Yang CG, Gao DX, Ren JX. Adaptive discrete-time controller design with neural network for hypersonic flight vehicle via back-stepping. Int J Control. 2011;84(9):1543–52.MathSciNetCrossRefMATH
10.
go back to reference Wang D. Neural network-based adaptive dynamic surface control of uncertain nonlinear pure-feedback systems. International Journal of Robust and Nonlinear Control. 2011;21(5):527–41.MathSciNetCrossRefMATH Wang D. Neural network-based adaptive dynamic surface control of uncertain nonlinear pure-feedback systems. International Journal of Robust and Nonlinear Control. 2011;21(5):527–41.MathSciNetCrossRefMATH
11.
go back to reference Liu L, Wang ZS, Zhang HG. Adaptive fault-tolerant tracking control for MIMO discrete-time systems via reinforcement learning algorithm with less learning parameters. IEEE Trans Autom Sci Eng. 2017;14(1):299–313.CrossRef Liu L, Wang ZS, Zhang HG. Adaptive fault-tolerant tracking control for MIMO discrete-time systems via reinforcement learning algorithm with less learning parameters. IEEE Trans Autom Sci Eng. 2017;14(1):299–313.CrossRef
12.
go back to reference Bechlioulis CP, Rovithakis GA. Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance. IEEE Trans Autom Control. 2008;53(9):2090–9.MathSciNetCrossRefMATH Bechlioulis CP, Rovithakis GA. Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance. IEEE Trans Autom Control. 2008;53(9):2090–9.MathSciNetCrossRefMATH
13.
go back to reference Na J. Adaptive prescribed performance control of nonlinear systems with unknown dead zone. International Journal of Adaptive Control and Signal Processing. 2013;27(5):426–46.MathSciNetCrossRefMATH Na J. Adaptive prescribed performance control of nonlinear systems with unknown dead zone. International Journal of Adaptive Control and Signal Processing. 2013;27(5):426–46.MathSciNetCrossRefMATH
14.
go back to reference Hua CC, Zhang LL, Guan Xin P. Output feedback control for interconnected time-delay systems with prescribed performance. Neurocomputing. 2014;129:208–15.CrossRef Hua CC, Zhang LL, Guan Xin P. Output feedback control for interconnected time-delay systems with prescribed performance. Neurocomputing. 2014;129:208–15.CrossRef
15.
go back to reference Emadi A, Khaligh A, Rivetta CH, Williamson GA. Constant power loads and negative impedance instability in automotive systems: definition, modeling, stability, and control of power electronic converters and motor drives. IEEE Trans Veh Technol. 2006;55(4):1112–25.CrossRef Emadi A, Khaligh A, Rivetta CH, Williamson GA. Constant power loads and negative impedance instability in automotive systems: definition, modeling, stability, and control of power electronic converters and motor drives. IEEE Trans Veh Technol. 2006;55(4):1112–25.CrossRef
16.
go back to reference Zhang W, Branicky MS, Phillips SM. Stability of networked control systems. IEEE Control Syst. 2001;21(1):84–99.CrossRef Zhang W, Branicky MS, Phillips SM. Stability of networked control systems. IEEE Control Syst. 2001;21(1):84–99.CrossRef
18.
go back to reference Shi P, Su XJ, Li FB. Dissipativity-Based Filtering for fuzzy switched systems with stochastic perturbation. IEEE Trans Autom Control. 2016;61(6):1694–9.MathSciNetCrossRefMATH Shi P, Su XJ, Li FB. Dissipativity-Based Filtering for fuzzy switched systems with stochastic perturbation. IEEE Trans Autom Control. 2016;61(6):1694–9.MathSciNetCrossRefMATH
19.
go back to reference Wang M, Qiu JB, Chadli M, Wang M. A switched system approach to exponential stabilization of sampled-data TCS fuzzy systems with packet dropouts. IEEE Transactions on Cybernetics. 2016;46(12):3145–56.CrossRef Wang M, Qiu JB, Chadli M, Wang M. A switched system approach to exponential stabilization of sampled-data TCS fuzzy systems with packet dropouts. IEEE Transactions on Cybernetics. 2016;46(12):3145–56.CrossRef
20.
go back to reference Paul T, Kimball JW, Zawodniok M, Roth TP, McMillin B, Chellappan S. Unified invariants for cyber-physical switched system stability. IEEE Transactions on Smart Grid. 2014;5(1):112–20.CrossRef Paul T, Kimball JW, Zawodniok M, Roth TP, McMillin B, Chellappan S. Unified invariants for cyber-physical switched system stability. IEEE Transactions on Smart Grid. 2014;5(1):112–20.CrossRef
21.
go back to reference Kruszewski A, Jiang WJ, Fridman E, Richard JP, Toguyeni A. A switched system approach to exponential stabilization through communication network. IEEE Trans Control Syst Technol. 2012;20(4):887–900.CrossRef Kruszewski A, Jiang WJ, Fridman E, Richard JP, Toguyeni A. A switched system approach to exponential stabilization through communication network. IEEE Trans Control Syst Technol. 2012;20(4):887–900.CrossRef
22.
go back to reference Xiang ZR, Huang SP. Stability analysis and stabilization of discrete-time 2D switched systems. Circuits, Systems, and Signal Processing. 2013;32(1):401–14.MathSciNetCrossRef Xiang ZR, Huang SP. Stability analysis and stabilization of discrete-time 2D switched systems. Circuits, Systems, and Signal Processing. 2013;32(1):401–14.MathSciNetCrossRef
23.
go back to reference Yin Y, Zhao X, Zheng X. New stability and stabilization conditions of switched systems with Mode-Dependent average dwell time. Circuits Systems & Signal Processing. 2017;36(1):82–98.MathSciNetCrossRefMATH Yin Y, Zhao X, Zheng X. New stability and stabilization conditions of switched systems with Mode-Dependent average dwell time. Circuits Systems & Signal Processing. 2017;36(1):82–98.MathSciNetCrossRefMATH
24.
go back to reference Su Q, Wang P, Li J, Liu H. Stabilization of discrete-time switched systems with state constraints based on mode-dependent average dwell time. Asian Journal of Control. 2017;19(1):67–73.MathSciNetCrossRefMATH Su Q, Wang P, Li J, Liu H. Stabilization of discrete-time switched systems with state constraints based on mode-dependent average dwell time. Asian Journal of Control. 2017;19(1):67–73.MathSciNetCrossRefMATH
25.
26.
go back to reference Hou MZ, Fu FY, Duan GR. Global stabilization of switched stochastic nonlinear systems in strict-feedback form under arbitrary switchings. Automatica. 2013; 49(8):2571–5.MathSciNetCrossRefMATH Hou MZ, Fu FY, Duan GR. Global stabilization of switched stochastic nonlinear systems in strict-feedback form under arbitrary switchings. Automatica. 2013; 49(8):2571–5.MathSciNetCrossRefMATH
27.
go back to reference Tabatabaei S, Arefi M. Adaptive neural control for a class of uncertain non-affine nonlinear switched systems. Nonlinear Dyn. 2015;83(3):1773–81.MathSciNetCrossRefMATH Tabatabaei S, Arefi M. Adaptive neural control for a class of uncertain non-affine nonlinear switched systems. Nonlinear Dyn. 2015;83(3):1773–81.MathSciNetCrossRefMATH
28.
go back to reference Yu L, Fei S, Yang G. Neural network approach for tracking control of uncertain switched nonlinear systems with unknown Dead-Zone input. Circuits, Systems, and Signal Processing. 2015;34(8):2695–2710.MathSciNetCrossRefMATH Yu L, Fei S, Yang G. Neural network approach for tracking control of uncertain switched nonlinear systems with unknown Dead-Zone input. Circuits, Systems, and Signal Processing. 2015;34(8):2695–2710.MathSciNetCrossRefMATH
29.
go back to reference Liu Z, Wang F, Zhang Y, Chen X, Chen CLP. Adaptive tracking control for a class of nonlinear systems with a fuzzy Dead-Zone input. IEEE Trans Fuzzy Syst. 2015;23(1):193–204.CrossRef Liu Z, Wang F, Zhang Y, Chen X, Chen CLP. Adaptive tracking control for a class of nonlinear systems with a fuzzy Dead-Zone input. IEEE Trans Fuzzy Syst. 2015;23(1):193–204.CrossRef
30.
go back to reference Pan YP, Zhou Y, Sun TR, Er MJ. Composite adaptive fuzzy \(h^{\infty }\) tracking control of uncertain nonlinear systems. Neurocomputing. 2013;99(1):15–24.CrossRef Pan YP, Zhou Y, Sun TR, Er MJ. Composite adaptive fuzzy \(h^{\infty }\) tracking control of uncertain nonlinear systems. Neurocomputing. 2013;99(1):15–24.CrossRef
31.
go back to reference Bechlioulis CP, Rovithakis GA. Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems. Automatica. 2009;45 (2):532–8.MathSciNetCrossRefMATH Bechlioulis CP, Rovithakis GA. Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems. Automatica. 2009;45 (2):532–8.MathSciNetCrossRefMATH
32.
go back to reference Won D, Kim W, Shin D, et al. High-gain disturbance observer-based backstepping control with output tracking error constraint for electro-hydraulic systems. IEEE Trans Control Syst Technol. 2015;23(2):787–95.CrossRef Won D, Kim W, Shin D, et al. High-gain disturbance observer-based backstepping control with output tracking error constraint for electro-hydraulic systems. IEEE Trans Control Syst Technol. 2015;23(2):787–95.CrossRef
33.
go back to reference Kostarigka A, Rovithakis G. Adaptive dynamic output feedback neural network control of uncertain MIMO nonlinear systems with prescribed performance. IEEE Transactions on Neural Networks and Learning Systems. 2012;23(1):138–149.CrossRef Kostarigka A, Rovithakis G. Adaptive dynamic output feedback neural network control of uncertain MIMO nonlinear systems with prescribed performance. IEEE Transactions on Neural Networks and Learning Systems. 2012;23(1):138–149.CrossRef
34.
go back to reference Bechlioulis CP, Rovithakis GA. Prescribed performance adaptive control for multi-input multi-output affine in the control nonlinear systems. IEEE Trans Autom Control. 2010;55(5):1220–6.MathSciNetCrossRefMATH Bechlioulis CP, Rovithakis GA. Prescribed performance adaptive control for multi-input multi-output affine in the control nonlinear systems. IEEE Trans Autom Control. 2010;55(5):1220–6.MathSciNetCrossRefMATH
35.
go back to reference Dong W, Farrell JA, Polycarpou MM, Djapic V, Sharma M. Command filtered adaptive backstepping. IEEE Transactions on Control System Technology. 2012;20(3):566–80.CrossRef Dong W, Farrell JA, Polycarpou MM, Djapic V, Sharma M. Command filtered adaptive backstepping. IEEE Transactions on Control System Technology. 2012;20(3):566–80.CrossRef
Metadata
Title
Adaptive Dynamic Surface Control of Nonlinear Switched Systems with Prescribed Performance
Authors
Shuyan Qi
Daqing Zhang
Liangdong Guo
Libing Wu
Publication date
03-08-2017
Publisher
Springer US
Published in
Journal of Dynamical and Control Systems / Issue 2/2018
Print ISSN: 1079-2724
Electronic ISSN: 1573-8698
DOI
https://doi.org/10.1007/s10883-017-9374-7

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