Skip to main content
Erschienen in: Neural Computing and Applications 7-8/2014

01.12.2014 | Original Article

Adaptive neural output feedback control for stochastic nonlinear time-delay systems with unknown control directions

verfasst von: Zhaoxu Yu, Shugang Li, Hongbin Du

Erschienen in: Neural Computing and Applications | Ausgabe 7-8/2014

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper first focuses on the problem of adaptive output feedback stabilization for a more general class of stochastic nonlinear time-delay systems with unknown control directions. By using a linear state transformation, the original system is transformed to a new system for which control design becomes feasible. Then a novel adaptive neural network (NN) output feedback control strategy, which only contains one adaptive parameter, is developed for such systems by combining the input-driven filter design, the backstepping technique, the NN’s parameterization, the Nussbaum gain function method and the Lyapunov–Krasovskii approach. The proposed control design guarantees that all signals in the closed-loop systems are 4-moment (or 2-moment) semi-globally uniformly bounded. Finally, two simulation examples are given to demonstrate the effectiveness and the applicability of the proposed control design.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Zurück zum Zitat Niu YG, WC HOD, Lam J (2005) Robust integral sliding mode control for uncertain stochastic systems with time-varying delay. Automatica 41(5):873–880CrossRefMATHMathSciNet Niu YG, WC HOD, Lam J (2005) Robust integral sliding mode control for uncertain stochastic systems with time-varying delay. Automatica 41(5):873–880CrossRefMATHMathSciNet
2.
Zurück zum Zitat Fu YS, Tian ZH, Shi SJ (2005) Output feedback stabilization for a class of stochastic time-delay nonlinear systems. IEEE Trans Autom Control 50(6):847–851CrossRefMathSciNet Fu YS, Tian ZH, Shi SJ (2005) Output feedback stabilization for a class of stochastic time-delay nonlinear systems. IEEE Trans Autom Control 50(6):847–851CrossRefMathSciNet
3.
Zurück zum Zitat Cui P, Zhang CH, Zhang XF (2008) Global stabilization of uncertain stochastic nonlinear time-delay systems by output feedback. Int J Robust Nonlinear Control 18(9):946–959CrossRefMATHMathSciNet Cui P, Zhang CH, Zhang XF (2008) Global stabilization of uncertain stochastic nonlinear time-delay systems by output feedback. Int J Robust Nonlinear Control 18(9):946–959CrossRefMATHMathSciNet
4.
Zurück zum Zitat Liu SJ, Ge SS, Zhang JF (2008) Adaptive output-feedback control for a class of uncertain stochastic non-linear systems with time delays. Int J Control 81(8):1210–1220CrossRefMATHMathSciNet Liu SJ, Ge SS, Zhang JF (2008) Adaptive output-feedback control for a class of uncertain stochastic non-linear systems with time delays. Int J Control 81(8):1210–1220CrossRefMATHMathSciNet
5.
Zurück zum Zitat Yu ZX, Du HB (2010) Neural-network-based bounded adaptive stabilization for uncertain stochastic nonlinear systems with time-delay. Control Theory Appl 27(6):855–860MATH Yu ZX, Du HB (2010) Neural-network-based bounded adaptive stabilization for uncertain stochastic nonlinear systems with time-delay. Control Theory Appl 27(6):855–860MATH
6.
Zurück zum Zitat Yu ZX, Du HB (2011) Adaptive neural control for uncertain stochastic nonlinear strict-feedback systems with time-varying delays: a Razumikhin functional method. Neurocomputing 74(12–13):2072–2082CrossRef Yu ZX, Du HB (2011) Adaptive neural control for uncertain stochastic nonlinear strict-feedback systems with time-varying delays: a Razumikhin functional method. Neurocomputing 74(12–13):2072–2082CrossRef
7.
Zurück zum Zitat Wang HQ, Chen B, Lin C (2012) Adaptive neural control for strict-feedback stochastic nonlinear systems with time-delay. Neurocomputing 77(1):267–274CrossRef Wang HQ, Chen B, Lin C (2012) Adaptive neural control for strict-feedback stochastic nonlinear systems with time-delay. Neurocomputing 77(1):267–274CrossRef
8.
Zurück zum Zitat Cui GZ, Jiao TC, Wei YL, Song GF, Chu YM (2014) Adaptive neural control of stochastic nonlinear systems with multiple time-varying delays and input saturation. Neural Comput Appl. doi:10.1007/s00521-014-1548-6 Cui GZ, Jiao TC, Wei YL, Song GF, Chu YM (2014) Adaptive neural control of stochastic nonlinear systems with multiple time-varying delays and input saturation. Neural Comput Appl. doi:10.​1007/​s00521-014-1548-6
9.
Zurück zum Zitat Chen WS, Jiao LC, Li J et al (2010) Adaptive NN backstepping output-feedback control for stochastic nonlinear strict-feedback systems with time-varying delays. IEEE Trans Syst Man Cybern Part B Cybern 40(3):939–950CrossRef Chen WS, Jiao LC, Li J et al (2010) Adaptive NN backstepping output-feedback control for stochastic nonlinear strict-feedback systems with time-varying delays. IEEE Trans Syst Man Cybern Part B Cybern 40(3):939–950CrossRef
10.
Zurück zum Zitat Zhou Q, Shi P, Xu SY, Li HY (2013) Observer-based adaptive neural network control for nonlinear stochastic systems with time delay. IEEE Trans Neural Netw Learn Syst 24(1):71–80CrossRef Zhou Q, Shi P, Xu SY, Li HY (2013) Observer-based adaptive neural network control for nonlinear stochastic systems with time delay. IEEE Trans Neural Netw Learn Syst 24(1):71–80CrossRef
11.
Zurück zum Zitat Ge SS, Wang J (2002) Robust adaptive neural control for a class of perturbed strict feedback nonlinear systems. IEEE Trans Neural Netw 13(6):1409–1419CrossRef Ge SS, Wang J (2002) Robust adaptive neural control for a class of perturbed strict feedback nonlinear systems. IEEE Trans Neural Netw 13(6):1409–1419CrossRef
12.
Zurück zum Zitat Jiang ZP, Mareels I, Hill DJ et al (2004) A unifying framework for global regulation via nonlinear output feedback: from ISS to iISS. IEEE Trans Autom Control 49(4):549–562CrossRefMathSciNet Jiang ZP, Mareels I, Hill DJ et al (2004) A unifying framework for global regulation via nonlinear output feedback: from ISS to iISS. IEEE Trans Autom Control 49(4):549–562CrossRefMathSciNet
13.
Zurück zum Zitat Liu YG (2007) Output-feedback adaptive control for a class of nonlinear systems with unknown control directions. Acta Automatica Sinica 33(12):1306–1312CrossRefMATHMathSciNet Liu YG (2007) Output-feedback adaptive control for a class of nonlinear systems with unknown control directions. Acta Automatica Sinica 33(12):1306–1312CrossRefMATHMathSciNet
14.
Zurück zum Zitat Hua CC, Wang QG, Guan XP (2009) Adaptive fuzzy output-feedback controller design for nonlinear time-delay systems with unknown control direction. IEEE Trans Syst Man Cybern Part B Cybern 39(2):363–374CrossRef Hua CC, Wang QG, Guan XP (2009) Adaptive fuzzy output-feedback controller design for nonlinear time-delay systems with unknown control direction. IEEE Trans Syst Man Cybern Part B Cybern 39(2):363–374CrossRef
15.
Zurück zum Zitat Tong SC, Liu CL, Li YM (2010) Fuzzy-adaptive decentralized output-feedback control for large-scale nonlinear systems with dynamical uncertainties. IEEE Trans Fuzzy Syst 18(5):845–861CrossRef Tong SC, Liu CL, Li YM (2010) Fuzzy-adaptive decentralized output-feedback control for large-scale nonlinear systems with dynamical uncertainties. IEEE Trans Fuzzy Syst 18(5):845–861CrossRef
16.
Zurück zum Zitat Wen YT, Ren XM (2011) Neural networks-based adaptive control for nonlinear time-varying delays systems with unknown control direction. IEEE Trans Neural Netw 22(10):1599–1612CrossRef Wen YT, Ren XM (2011) Neural networks-based adaptive control for nonlinear time-varying delays systems with unknown control direction. IEEE Trans Neural Netw 22(10):1599–1612CrossRef
17.
Zurück zum Zitat Yue H, Li J (2012) Output-feedback adaptive fuzzy control for a class of non-linear time-varying delay systems with unknown control directions. IET Control Theory Appl 6(9):1266–1280CrossRefMathSciNet Yue H, Li J (2012) Output-feedback adaptive fuzzy control for a class of non-linear time-varying delay systems with unknown control directions. IET Control Theory Appl 6(9):1266–1280CrossRefMathSciNet
18.
Zurück zum Zitat Wang YC, Zhang HG, Wang YZ (2006) Fuzzy adaptive control of stochastic nonlinear systems with unknown virtual control gain function. ACTA Automatica Sinica 32(2):170–178MathSciNet Wang YC, Zhang HG, Wang YZ (2006) Fuzzy adaptive control of stochastic nonlinear systems with unknown virtual control gain function. ACTA Automatica Sinica 32(2):170–178MathSciNet
19.
Zurück zum Zitat Yu ZX, Jin ZH, Du HB (2012) Adaptive neural control for a class of nonaffine stochastic nonlinear systems with time-varying delay: a Razumikhin-Nussbaum method. IET Control Theory Appl 6(1):14–23CrossRefMathSciNet Yu ZX, Jin ZH, Du HB (2012) Adaptive neural control for a class of nonaffine stochastic nonlinear systems with time-varying delay: a Razumikhin-Nussbaum method. IET Control Theory Appl 6(1):14–23CrossRefMathSciNet
20.
Zurück zum Zitat Yu ZX, Li SG, Du HB (2013) Razumikhin-Nussbaum-lemma-based adaptive neural control for uncertain stochastic pure-feedback nonlinear systems with time-varying delays. Int J Robust Nonlinear Control 23(11):1214–1239CrossRefMATHMathSciNet Yu ZX, Li SG, Du HB (2013) Razumikhin-Nussbaum-lemma-based adaptive neural control for uncertain stochastic pure-feedback nonlinear systems with time-varying delays. Int J Robust Nonlinear Control 23(11):1214–1239CrossRefMATHMathSciNet
21.
Zurück zum Zitat Yu ZX, Li SG (2014) Neural-network-based output-feedback adaptive dynamic surface control for a class of stochastic nonlinear time-delay systems with unknown control directions. Neurocomputing 129:540–547CrossRef Yu ZX, Li SG (2014) Neural-network-based output-feedback adaptive dynamic surface control for a class of stochastic nonlinear time-delay systems with unknown control directions. Neurocomputing 129:540–547CrossRef
22.
Zurück zum Zitat Plolycarpou MM (1996) Stable adaptive neural control scheme for nonlinear systems. IEEE Trans Autom Control 41(3):447–451CrossRef Plolycarpou MM (1996) Stable adaptive neural control scheme for nonlinear systems. IEEE Trans Autom Control 41(3):447–451CrossRef
23.
24.
Zurück zum Zitat Park J, Sandberg LW (1991) Universal approximation using radial-basis-function networks. Neural Comput 3(2):246–257CrossRef Park J, Sandberg LW (1991) Universal approximation using radial-basis-function networks. Neural Comput 3(2):246–257CrossRef
25.
Zurück zum Zitat Ge SS, Hang CC, Lee TH, Zhang T (2002) Stable adaptive neural network control. Kluwer, New YorkCrossRefMATH Ge SS, Hang CC, Lee TH, Zhang T (2002) Stable adaptive neural network control. Kluwer, New YorkCrossRefMATH
26.
Zurück zum Zitat Niculescu SL (2001) Delay effects on stability: a robust control approach. Springer, New York Niculescu SL (2001) Delay effects on stability: a robust control approach. Springer, New York
27.
Zurück zum Zitat Zhou Q, Shi P, Lu J, Xu SY (2011) Adaptive output feedback fuzzy tracking control for a class of nonlinear systems. IEEE Trans Fuzzy Syst 19(5):972–982CrossRef Zhou Q, Shi P, Lu J, Xu SY (2011) Adaptive output feedback fuzzy tracking control for a class of nonlinear systems. IEEE Trans Fuzzy Syst 19(5):972–982CrossRef
28.
Zurück zum Zitat Tong SC, Li YM (2012) Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones. IEEE Trans Fuzzy Syst 20(1):168–180CrossRef Tong SC, Li YM (2012) Adaptive fuzzy output feedback tracking backstepping control of strict-feedback nonlinear systems with unknown dead zones. IEEE Trans Fuzzy Syst 20(1):168–180CrossRef
29.
Zurück zum Zitat Tong SC, Li Y, Li YM, Liu YJ (2011) Observer-based adaptive fuzzy backstepping control for a class of stochastic nonlinear strict-feedback systems. IEEE Trans Syst Man Cybern Part B Cybern 41(6):1693–1704CrossRefMathSciNet Tong SC, Li Y, Li YM, Liu YJ (2011) Observer-based adaptive fuzzy backstepping control for a class of stochastic nonlinear strict-feedback systems. IEEE Trans Syst Man Cybern Part B Cybern 41(6):1693–1704CrossRefMathSciNet
30.
Zurück zum Zitat Tong SC, Li YM (2009) Observer-based fuzzy adaptive control for strict feedback nonlinear systems. Fuzzy Sets Syst 160(12):1749–1764CrossRefMATHMathSciNet Tong SC, Li YM (2009) Observer-based fuzzy adaptive control for strict feedback nonlinear systems. Fuzzy Sets Syst 160(12):1749–1764CrossRefMATHMathSciNet
31.
Zurück zum Zitat Li J, Chen WS, Li JM, et, al, (2009) Adaptive NN output-feedback stabilization for a class of stochastic nonlinear strict-feedback systems. ISA Trans 48(4):468–475 Li J, Chen WS, Li JM, et, al, (2009) Adaptive NN output-feedback stabilization for a class of stochastic nonlinear strict-feedback systems. ISA Trans 48(4):468–475
32.
Zurück zum Zitat Chen WS, Jiao LC, Du ZB (2010) Output-feedback adaptive dynamic surface control of stochastic nonlinear systems using neural network. IET Control Theory Appl 4(12):3012–3021CrossRefMathSciNet Chen WS, Jiao LC, Du ZB (2010) Output-feedback adaptive dynamic surface control of stochastic nonlinear systems using neural network. IET Control Theory Appl 4(12):3012–3021CrossRefMathSciNet
33.
Zurück zum Zitat Tong SC, Huo BY, Li YM (2014) Observer-based adaptive decentralized fuzzy fault-tolerant control of nonlinear large-scale systems with actuator failures. IEEE Trans Fuzzy Syst 22(1):1–15CrossRef Tong SC, Huo BY, Li YM (2014) Observer-based adaptive decentralized fuzzy fault-tolerant control of nonlinear large-scale systems with actuator failures. IEEE Trans Fuzzy Syst 22(1):1–15CrossRef
34.
Zurück zum Zitat Tong SC, Li CY, Li YM (2009) Fuzzy adaptive observer backstepping control for MIMO nonlinear systems. Fuzzy Sets Syst 160(19):2755–2775CrossRefMATHMathSciNet Tong SC, Li CY, Li YM (2009) Fuzzy adaptive observer backstepping control for MIMO nonlinear systems. Fuzzy Sets Syst 160(19):2755–2775CrossRefMATHMathSciNet
35.
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 Part 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 Part B Cybern 38(3):721–730CrossRef
36.
Zurück zum Zitat Wang M, Liu X, Shi P (2011) Adaptive neural control of pure-feedback nonlinear time-delay systems via dynamic surface technique. IEEE Trans Syst Man Cybern Part B Cybern 41(6):1681–1692CrossRef Wang M, Liu X, Shi P (2011) Adaptive neural control of pure-feedback nonlinear time-delay systems via dynamic surface technique. IEEE Trans Syst Man Cybern Part B Cybern 41(6):1681–1692CrossRef
37.
Zurück zum Zitat Wang RL, Li J (2012) Adaptive neural control design for a class of perturbed nonlinear time-varying delay systems. Int J Innov Comput Inform Control 8(5):3727–3740 Wang RL, Li J (2012) Adaptive neural control design for a class of perturbed nonlinear time-varying delay systems. Int J Innov Comput Inform Control 8(5):3727–3740
38.
Zurück zum Zitat Yu JP, Ma YM, Chen B, Yu HS, Pan SF (2011) Adaptive neural position tracking control for induction motors via backstepping. Int J Innov Comput Inform Control 7(7):4503–4516 Yu JP, Ma YM, Chen B, Yu HS, Pan SF (2011) Adaptive neural position tracking control for induction motors via backstepping. Int J Innov Comput Inform Control 7(7):4503–4516
Metadaten
Titel
Adaptive neural output feedback control for stochastic nonlinear time-delay systems with unknown control directions
verfasst von
Zhaoxu Yu
Shugang Li
Hongbin Du
Publikationsdatum
01.12.2014
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 7-8/2014
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-014-1686-x

Weitere Artikel der Ausgabe 7-8/2014

Neural Computing and Applications 7-8/2014 Zur Ausgabe