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Erschienen in: Neural Computing and Applications 9/2019

11.01.2019 | Original Article

State observer-based adaptive neural dynamic surface control for a class of uncertain nonlinear systems with input saturation using disturbance observer

verfasst von: Jiao-Jun Zhang

Erschienen in: Neural Computing and Applications | Ausgabe 9/2019

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Abstract

This paper focuses on the problem of tracking control aiming at a class of uncertain nonlinear systems in the presence of input saturation, unknown external disturbances and unmeasured states on the basis of adaptive neural dynamic surface control (DSC) scheme in combination with state and disturbance observers. The unknown nonlinear system functions are approximated by Radial Basis Function Neural Networks, the unmeasured states are estimated by a developed state observer and the unknown compounded disturbances are estimated by nonlinear disturbance observers. In addition, by introducing DSC technique, the problem of “explosion of complexity” inherent in the conventional backstepping method is eliminated. The designed controller ensures the semi-global stabilization of the whole closed-loop system by means of Lyapunov analysis method. The effectiveness of the proposed approach is demonstrated through a numerical example.

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Literatur
1.
Zurück zum Zitat Kanellakopoulos I, Kokotovic PV, Morse AS (1991) Systematic design of adaptive controller for feedback linearizable systems. IEEE Trans Autom Control 36(11):1241–1253MathSciNetCrossRef Kanellakopoulos I, Kokotovic PV, Morse AS (1991) Systematic design of adaptive controller for feedback linearizable systems. IEEE Trans Autom Control 36(11):1241–1253MathSciNetCrossRef
2.
Zurück zum Zitat Krstic M, Kanellakopoulos I, Kokotovic PV (1992) Adaptive nonlinear control without overparametrization. Syst Control Lett 19:177–185MathSciNetCrossRef Krstic M, Kanellakopoulos I, Kokotovic PV (1992) Adaptive nonlinear control without overparametrization. Syst Control Lett 19:177–185MathSciNetCrossRef
3.
Zurück zum Zitat Li YH, Qiang S, Zhang XY, Kaynak O (2004) Robust and adaptive backstepping control for nonlinear systems using RBF neural networks. IEEE Trans Neural Netw 15(3):603–701CrossRef Li YH, Qiang S, Zhang XY, Kaynak O (2004) Robust and adaptive backstepping control for nonlinear systems using RBF neural networks. IEEE Trans Neural Netw 15(3):603–701CrossRef
4.
Zurück zum Zitat Wang M, Chen B, Shi P (2008) Adaptive neural control for a class of perturbed strict-feedback nonlinear time-delay systems. IEEE Trans Syst Man Cybern B Cybern 38(3):721–730CrossRef Wang M, Chen B, Shi P (2008) Adaptive neural control for a class of perturbed strict-feedback nonlinear time-delay systems. IEEE Trans Syst Man Cybern B Cybern 38(3):721–730CrossRef
5.
Zurück zum Zitat Chen WS, Jiao LC (2010) Adaptive NN backstepping output-feedback control for stochastic nonlinear strict-feedback systems with time-varying delays. IEEE Trans Syst Man Cybern B Cybern 40(3):939–950CrossRef Chen WS, Jiao LC (2010) Adaptive NN backstepping output-feedback control for stochastic nonlinear strict-feedback systems with time-varying delays. IEEE Trans Syst Man Cybern B Cybern 40(3):939–950CrossRef
6.
Zurück zum Zitat Zhou Q, Shi P, Xu S, Li H (2013) Adaptive output feedback control for nonlinear time-delay systems by fuzzy approximation approach. IEEE Trans Fuzzy Syst 21(2):301–313CrossRef Zhou Q, Shi P, Xu S, Li H (2013) Adaptive output feedback control for nonlinear time-delay systems by fuzzy approximation approach. IEEE Trans Fuzzy Syst 21(2):301–313CrossRef
7.
Zurück zum Zitat Gao Y, Tong SC, Li YM (2013) Adaptive fuzzy backstepping output feedback control for a class of uncertain stochastic nonlinear system in pure-feedback form. Neurocomputing 122(25):126–133CrossRef Gao Y, Tong SC, Li YM (2013) Adaptive fuzzy backstepping output feedback control for a class of uncertain stochastic nonlinear system in pure-feedback form. Neurocomputing 122(25):126–133CrossRef
8.
Zurück zum Zitat Liu YJ, Tong SC, Li TS (2011) Observer-based adaptive fuzzy tracking control for a class of uncertain nonlinear MIMO systems. Fuzzy Sets Syst 164(1):25–44MathSciNetCrossRef Liu YJ, Tong SC, Li TS (2011) Observer-based adaptive fuzzy tracking control for a class of uncertain nonlinear MIMO systems. Fuzzy Sets Syst 164(1):25–44MathSciNetCrossRef
9.
Zurück zum Zitat Lee T, Kim Y (2001) Nonlinear adaptive flight control using backstepping and neural networks controller. J Guid Control Dyn 24(4):675–682CrossRef Lee T, Kim Y (2001) Nonlinear adaptive flight control using backstepping and neural networks controller. J Guid Control Dyn 24(4):675–682CrossRef
10.
Zurück zum Zitat Wai RJ, Yao JX, Lee JD (2015) Backstepping fuzzy-neural-network control design for hybrid maglev transportation system. IEEE Trans Neural Netw Learn Syst 26(2):302–317MathSciNetCrossRef Wai RJ, Yao JX, Lee JD (2015) Backstepping fuzzy-neural-network control design for hybrid maglev transportation system. IEEE Trans Neural Netw Learn Syst 26(2):302–317MathSciNetCrossRef
11.
Zurück zum Zitat Swaroop S, Hedrick JK, Yip PP, Gerdes JC (2000) Dynamic surface control for a class of nonlinear systems. IEEE Trans Autom Control 45(10):1893–1899MathSciNetCrossRef Swaroop S, Hedrick JK, Yip PP, Gerdes JC (2000) Dynamic surface control for a class of nonlinear systems. IEEE Trans Autom Control 45(10):1893–1899MathSciNetCrossRef
12.
Zurück zum Zitat Wang D, Huang J (2005) Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form. IEEE Trans Neural Netw 16(1):195–202CrossRef Wang D, Huang J (2005) Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form. IEEE Trans Neural Netw 16(1):195–202CrossRef
13.
Zurück zum Zitat Li TS, Wang D, Feng G, Tong SC (2010) A DSC approach to robust adaptive NN tracking control for strict-feedback nonlinear systems. IEEE Trans Syst Man Cybern B Cybern 40(3):915–927CrossRef Li TS, Wang D, Feng G, Tong SC (2010) A DSC approach to robust adaptive NN tracking control for strict-feedback nonlinear systems. IEEE Trans Syst Man Cybern B Cybern 40(3):915–927CrossRef
14.
Zurück zum Zitat Xu B, Shi Z, Yang C, Sun F (2014) Composite neural dynamic surface control of a class of uncertain nonlinear systems in strict-feedback form. IEEE Trans Cybern 44(12):2626–2634CrossRef Xu B, Shi Z, Yang C, Sun F (2014) Composite neural dynamic surface control of a class of uncertain nonlinear systems in strict-feedback form. IEEE Trans Cybern 44(12):2626–2634CrossRef
15.
Zurück zum Zitat Gao Y, Tong S, Li Y (2015) Fuzzy adaptive output feedback DSC design for SISO nonlinear stochastic systems with unknown control directions and dead-zones. Neurocomputing 167:187–194CrossRef Gao Y, Tong S, Li Y (2015) Fuzzy adaptive output feedback DSC design for SISO nonlinear stochastic systems with unknown control directions and dead-zones. Neurocomputing 167:187–194CrossRef
16.
Zurück zum Zitat Zhang T, Xia M, Yi Y (2017) Adaptive neural dynamic surface control of strict-feedback nonlinear systems with full state constraints and unmodeled dynamics. Automatica 81:232–239MathSciNetCrossRef Zhang T, Xia M, Yi Y (2017) Adaptive neural dynamic surface control of strict-feedback nonlinear systems with full state constraints and unmodeled dynamics. Automatica 81:232–239MathSciNetCrossRef
17.
Zurück zum Zitat Zhang T, Xia M, Yi Y (2017) Adaptive neural dynamic surface control of pure-feedback nonlinear systems with full state constraints and dynamic uncertainties. IEEE Trans Syst Man Cybern Syst 47(8):2378–2387CrossRef Zhang T, Xia M, Yi Y (2017) Adaptive neural dynamic surface control of pure-feedback nonlinear systems with full state constraints and dynamic uncertainties. IEEE Trans Syst Man Cybern Syst 47(8):2378–2387CrossRef
18.
Zurück zum Zitat Li Y, Tong S, Li T (2015) Composite adaptive fuzzy output feedback control design for uncertain nonlinear strict-feedback systems with input saturation. IEEE Trans Cybern 45(10):2299–2308CrossRef Li Y, Tong S, Li T (2015) Composite adaptive fuzzy output feedback control design for uncertain nonlinear strict-feedback systems with input saturation. IEEE Trans Cybern 45(10):2299–2308CrossRef
19.
Zurück zum Zitat Zhou J, Er MJ, Zhou Y (2006) Adaptive neural network control of uncertain nonlinear systems in the presence of input saturation. In: Proceedings of the 9th international conference control automation robotics and vision, pp 1–5 Zhou J, Er MJ, Zhou Y (2006) Adaptive neural network control of uncertain nonlinear systems in the presence of input saturation. In: Proceedings of the 9th international conference control automation robotics and vision, pp 1–5
20.
Zurück zum Zitat Ting CS (2008) A robust fuzzy control approach to stabilization of nonlinear time-delay systems with saturating inputs. Int J Fuzzy Syst 10(1):50–60MathSciNet Ting CS (2008) A robust fuzzy control approach to stabilization of nonlinear time-delay systems with saturating inputs. Int J Fuzzy Syst 10(1):50–60MathSciNet
21.
Zurück zum Zitat Chen M, Tao G, Jiang B (2015) Dynamic surface control using neural networks for a class of uncertain nonlinear systems with input saturation. IEEE Trans Neural Netw Learn Syst 26(9):2086–2097MathSciNetCrossRef Chen M, Tao G, Jiang B (2015) Dynamic surface control using neural networks for a class of uncertain nonlinear systems with input saturation. IEEE Trans Neural Netw Learn Syst 26(9):2086–2097MathSciNetCrossRef
22.
Zurück zum Zitat Chen M, Ge SS, Ren BB (2010) Robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities. IEEE Trans Neural Netw 21(5):796–812CrossRef Chen M, Ge SS, Ren BB (2010) Robust adaptive neural network control for a class of uncertain MIMO nonlinear systems with input nonlinearities. IEEE Trans Neural Netw 21(5):796–812CrossRef
23.
Zurück zum Zitat Li TS, Li RH, Li JF (2011) Decentralized adaptive neural control of nonlinear interconnected large-scale systems with unknown time delays and input saturation. Neurocomputing 74(14):2277–2283CrossRef Li TS, Li RH, Li JF (2011) Decentralized adaptive neural control of nonlinear interconnected large-scale systems with unknown time delays and input saturation. Neurocomputing 74(14):2277–2283CrossRef
24.
Zurück zum Zitat Cao YY, Lin ZL (2003) Robust stability analysis and fuzzy-scheduling control for nonlinear systems subject to actuator saturation. IEEE Trans Fuzzy Syst 11(1):57–67CrossRef Cao YY, Lin ZL (2003) Robust stability analysis and fuzzy-scheduling control for nonlinear systems subject to actuator saturation. IEEE Trans Fuzzy Syst 11(1):57–67CrossRef
25.
Zurück zum Zitat Hu QL, Ma GF, Xie LH (2008) Robust and adaptive variable structure output feedback control of uncertain systems with input nonlinearity. Automatica 44(2):552–559MathSciNetCrossRef Hu QL, Ma GF, Xie LH (2008) Robust and adaptive variable structure output feedback control of uncertain systems with input nonlinearity. Automatica 44(2):552–559MathSciNetCrossRef
26.
Zurück zum Zitat Chen M, Ge SS, Ren BB (2011) Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints. Automatica 47(3):452–465MathSciNetCrossRef Chen M, Ge SS, Ren BB (2011) Adaptive tracking control of uncertain MIMO nonlinear systems with input constraints. Automatica 47(3):452–465MathSciNetCrossRef
27.
Zurück zum Zitat Chen M, Ge SS (2015) Adaptive neural output feedback control of uncertain nonlinear systems with unknown hysteresis using disturbance observer. IEEE Trans Ind Electron 62(12):7706–7716MathSciNetCrossRef Chen M, Ge SS (2015) Adaptive neural output feedback control of uncertain nonlinear systems with unknown hysteresis using disturbance observer. IEEE Trans Ind Electron 62(12):7706–7716MathSciNetCrossRef
28.
Zurück zum Zitat Hamzaoui A, Essounbouli N, Benmahammed K, Zaytoon J (2004) State observer based robust adaptive fuzzy controller for nonlinear uncertain and perturbed systems. IEEE Trans Syst Man Cybern B Cybern 34(2):942–950CrossRef Hamzaoui A, Essounbouli N, Benmahammed K, Zaytoon J (2004) State observer based robust adaptive fuzzy controller for nonlinear uncertain and perturbed systems. IEEE Trans Syst Man Cybern B Cybern 34(2):942–950CrossRef
29.
Zurück zum Zitat Tong S, Li Y, Li Y, Liu Y (2011) Observer-based adaptive fuzzy backstepping control for a class of stochastic nonlinear strict-feedback systems. IEEE Trans Syst Man Cybern B Cybern 41(6):1693–1704CrossRef Tong S, Li Y, Li Y, Liu Y (2011) Observer-based adaptive fuzzy backstepping control for a class of stochastic nonlinear strict-feedback systems. IEEE Trans Syst Man Cybern B Cybern 41(6):1693–1704CrossRef
30.
Zurück zum Zitat Tong S, Li Y, Feng G, Li T (2011) Observer-based adaptive fuzzy backstepping dynamic surface control for a class of MIMO nonlinear systems. IEEE Trans Syst Man Cybern B Cybern 41(4):1124–1135CrossRef Tong S, Li Y, Feng G, Li T (2011) Observer-based adaptive fuzzy backstepping dynamic surface control for a class of MIMO nonlinear systems. IEEE Trans Syst Man Cybern B Cybern 41(4):1124–1135CrossRef
31.
Zurück zum Zitat Tong SC, Li YM (2013) Adaptive fuzzy output feedback backstepping control of pure-feedback nonlinear systems via dynamic surface control technique. Int J Adapt Control Signal Process 27(7):541–561MathSciNetCrossRef Tong SC, Li YM (2013) Adaptive fuzzy output feedback backstepping control of pure-feedback nonlinear systems via dynamic surface control technique. Int J Adapt Control Signal Process 27(7):541–561MathSciNetCrossRef
32.
Zurück zum Zitat Wen CY, Zhou J, Liu ZT, Su HY (2011) Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Trans Autom Control 56(7):1672–1678MathSciNetCrossRef Wen CY, Zhou J, Liu ZT, Su HY (2011) Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Trans Autom Control 56(7):1672–1678MathSciNetCrossRef
33.
Zurück zum Zitat Chen WH, Ballance DJ, Gawthrop PJ, O’Reilly J (2000) A nonlinear disturbance observer for robotic manipulator. IEEE Trans Ind Electron 47(8):932–938CrossRef Chen WH, Ballance DJ, Gawthrop PJ, O’Reilly J (2000) A nonlinear disturbance observer for robotic manipulator. IEEE Trans Ind Electron 47(8):932–938CrossRef
34.
Zurück zum Zitat He W, Zhang S, Ge SS (2013) Boundary output-feedback stabilization of a Timoshenko beam using disturbance observer. IEEE Trans Ind Electron 60(11):5186–5194CrossRef He W, Zhang S, Ge SS (2013) Boundary output-feedback stabilization of a Timoshenko beam using disturbance observer. IEEE Trans Ind Electron 60(11):5186–5194CrossRef
35.
Zurück zum Zitat Li S, Yang J (2013) Robust autopilot design for bank-to-turn missiles using disturbance observers. IEEE Trans Aerosp Electron Syst 1(49):558–579CrossRef Li S, Yang J (2013) Robust autopilot design for bank-to-turn missiles using disturbance observers. IEEE Trans Aerosp Electron Syst 1(49):558–579CrossRef
36.
Zurück zum Zitat Li Z, Deng S, Su CY, Li G, Yu Z, Liu Y, Wang M (2014) Decentralised adaptive control of cooperating Robotic manipulators with disturbance observers. IET Control Theory Appl 8(7):15–521MathSciNet Li Z, Deng S, Su CY, Li G, Yu Z, Liu Y, Wang M (2014) Decentralised adaptive control of cooperating Robotic manipulators with disturbance observers. IET Control Theory Appl 8(7):15–521MathSciNet
37.
Zurück zum Zitat Yun JN, Su JB, Kim Y, Kim YC (2013) Robust disturbance observer for two-inertia system. IEEE Trans Ind Electron 60(7):2700–2710CrossRef Yun JN, Su JB, Kim Y, Kim YC (2013) Robust disturbance observer for two-inertia system. IEEE Trans Ind Electron 60(7):2700–2710CrossRef
38.
Zurück zum Zitat Chen W-H (2004) Disturbance observer based control for nonlinear systems. IEEE/ASME Trans Mechatron 9(4):706–710CrossRef Chen W-H (2004) Disturbance observer based control for nonlinear systems. IEEE/ASME Trans Mechatron 9(4):706–710CrossRef
39.
Zurück zum Zitat Wei XJ, Guo L (2010) Composite disturbance-observer-based control and H-infinity control for complex continuous models. Int J Robust Nonlinear Control 20(1):106–118CrossRef Wei XJ, Guo L (2010) Composite disturbance-observer-based control and H-infinity control for complex continuous models. Int J Robust Nonlinear Control 20(1):106–118CrossRef
40.
Zurück zum Zitat Chen M, Chen W-H (2010) Sliding mode control for a class of uncertain nonlinear system based on disturbance observer. Int J Adapt Control Signal Process 24(1):51–64MathSciNetMATH Chen M, Chen W-H (2010) Sliding mode control for a class of uncertain nonlinear system based on disturbance observer. Int J Adapt Control Signal Process 24(1):51–64MathSciNetMATH
41.
Zurück zum Zitat Wei XJ, Zhang HF, Guo L (2009) Composite disturbance-observer-based control and terminal sliding mode control for uncertain structural systems. Int J Syst Sci 40(10):1009–1017MathSciNetCrossRef Wei XJ, Zhang HF, Guo L (2009) Composite disturbance-observer-based control and terminal sliding mode control for uncertain structural systems. Int J Syst Sci 40(10):1009–1017MathSciNetCrossRef
42.
Zurück zum Zitat Min H, Xu S, Ma Q, Zhang B, Zhang Z (2018) Composite-observer-based output-feedback control for nonlinear time-delay systems with input saturation and its application. IEEE Trans Ind Electron 65(7):5856–5863CrossRef Min H, Xu S, Ma Q, Zhang B, Zhang Z (2018) Composite-observer-based output-feedback control for nonlinear time-delay systems with input saturation and its application. IEEE Trans Ind Electron 65(7):5856–5863CrossRef
Metadaten
Titel
State observer-based adaptive neural dynamic surface control for a class of uncertain nonlinear systems with input saturation using disturbance observer
verfasst von
Jiao-Jun Zhang
Publikationsdatum
11.01.2019
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 9/2019
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-018-03993-x

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