Skip to main content
Erschienen in: Neural Computing and Applications 4/2010

01.06.2010 | Original Article

Limit cycle prediction of a neurocontrol vehicle system based on gain-phase margin analysis

verfasst von: Jau-Woei Perng, Li-Shan Ma, Bing-Fei Wu

Erschienen in: Neural Computing and Applications | Ausgabe 4/2010

Einloggen

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

search-config
loading …

Abstract

Based on some useful frequency domain methods, this paper proposes a systematic procedure to address the limit cycle prediction of a neural vehicle control system with adjustable parameters. A simple neurocontroller can be linearized by using describing function method firstly. According to the classical method of parameter plane, the stability of linearized system with adjustable parameters is then considered. In addition, gain margin and phase margin for limit cycle generation are also analyzed by adding a gain-phase margin tester into open loop system. Computer simulations show the efficiency of this approach.

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!

Literatur
1.
Zurück zum Zitat Gelb A, Velde WEV (1968) Multiple input describing functions and nonlinear system design. McGraw-Hill, New YorkMATH Gelb A, Velde WEV (1968) Multiple input describing functions and nonlinear system design. McGraw-Hill, New YorkMATH
2.
Zurück zum Zitat Siljak DD (1969) Nonlinear systems—the parameter analysis and design. Wiley, New YorkMATH Siljak DD (1969) Nonlinear systems—the parameter analysis and design. Wiley, New YorkMATH
3.
Zurück zum Zitat Han KW (1977) Nonlinear control systems—some practical methods. Academic Cultural Company, CaliforniaMATH Han KW (1977) Nonlinear control systems—some practical methods. Academic Cultural Company, CaliforniaMATH
4.
Zurück zum Zitat Miller RK, Michel AN, Krenz GS (1983) On the stability of limit cycles in nonlinear feedback systems: analysis using describing functions. IEEE Trans Circuits Syst CAS-30(9):684–696CrossRefMathSciNet Miller RK, Michel AN, Krenz GS (1983) On the stability of limit cycles in nonlinear feedback systems: analysis using describing functions. IEEE Trans Circuits Syst CAS-30(9):684–696CrossRefMathSciNet
5.
Zurück zum Zitat Krenz GS, Miller RK (1986) Qualitative analysis of oscillations in nonlinear control Systems: a describing function approach. IEEE Trans Circuits Syst CAS-33(5):562–566CrossRefMathSciNet Krenz GS, Miller RK (1986) Qualitative analysis of oscillations in nonlinear control Systems: a describing function approach. IEEE Trans Circuits Syst CAS-33(5):562–566CrossRefMathSciNet
6.
Zurück zum Zitat Chung SC, Huang SR, Huang JS, Lee EC (2001) Applications of describing functions to estimate the performance of nonlinear inductance. IEE Proc Sci Meas Technol 148(3):108–114CrossRef Chung SC, Huang SR, Huang JS, Lee EC (2001) Applications of describing functions to estimate the performance of nonlinear inductance. IEE Proc Sci Meas Technol 148(3):108–114CrossRef
7.
Zurück zum Zitat Amato F, Iervolino R, Scala S, Verde L (2001) Category II pilot in–the-loop oscillations analysis from robust stability methods. J Guid Control Dyn 24(3):531–538CrossRef Amato F, Iervolino R, Scala S, Verde L (2001) Category II pilot in–the-loop oscillations analysis from robust stability methods. J Guid Control Dyn 24(3):531–538CrossRef
8.
Zurück zum Zitat Wang QG, Zou B, Lee TH, Bi Q (1997) Auto-tuning of multivariable PID controllers from decentralized relay feedback. Automatica 33(3):319–330MATHCrossRefMathSciNet Wang QG, Zou B, Lee TH, Bi Q (1997) Auto-tuning of multivariable PID controllers from decentralized relay feedback. Automatica 33(3):319–330MATHCrossRefMathSciNet
9.
Zurück zum Zitat Ackermann J, Bunte T (1997) Actuator rate limits in robust car steering control. In: Proceedings of the IEEE conference on decision and control, pp 4726–4731 Ackermann J, Bunte T (1997) Actuator rate limits in robust car steering control. In: Proceedings of the IEEE conference on decision and control, pp 4726–4731
10.
Zurück zum Zitat Gordillo F, Aracil J, Alamo T (1997) Determining limit cycles in fuzzy control systems. In: Proceedings of the IEEE international conference on fuzzy systems, pp 193–198 Gordillo F, Aracil J, Alamo T (1997) Determining limit cycles in fuzzy control systems. In: Proceedings of the IEEE international conference on fuzzy systems, pp 193–198
11.
Zurück zum Zitat Kim E, Lee H, Park M (2000) Limit-cycle prediction of a fuzzy control system based on describing function method. IEEE Trans Fuzzy Syst 8(1):11–21CrossRefMathSciNet Kim E, Lee H, Park M (2000) Limit-cycle prediction of a fuzzy control system based on describing function method. IEEE Trans Fuzzy Syst 8(1):11–21CrossRefMathSciNet
12.
Zurück zum Zitat Delgado A (1998) Stability analysis of neurocontrol systems using a describing function. In: Proceedings of the international joint conference on neural networks, pp 2126–2130 Delgado A (1998) Stability analysis of neurocontrol systems using a describing function. In: Proceedings of the international joint conference on neural networks, pp 2126–2130
13.
Zurück zum Zitat Delgado A, Warwick K, Kambhampati C (1998) Limit cycles in neurocontrolled minirobots. In: Proceedings of the UKACC international conference control, pp 173–177 Delgado A, Warwick K, Kambhampati C (1998) Limit cycles in neurocontrolled minirobots. In: Proceedings of the UKACC international conference control, pp 173–177
14.
15.
Zurück zum Zitat Han KW, Thaler GJ (1966) Control system analysis and design using a parameter space method. IEEE Trans Automat Contr 11(3):560–563CrossRef Han KW, Thaler GJ (1966) Control system analysis and design using a parameter space method. IEEE Trans Automat Contr 11(3):560–563CrossRef
16.
Zurück zum Zitat Ackermann J (1980) Parameter space design of robust control systems. IEEE Trans Automat Contr 25(6):1058–1072MATHCrossRef Ackermann J (1980) Parameter space design of robust control systems. IEEE Trans Automat Contr 25(6):1058–1072MATHCrossRef
17.
Zurück zum Zitat Cavallo A, Maria GE, Verde L (1992) Robust control systems: a parameter space design. J Guid Control Dyn 15(5):1207–1215CrossRef Cavallo A, Maria GE, Verde L (1992) Robust control systems: a parameter space design. J Guid Control Dyn 15(5):1207–1215CrossRef
18.
Zurück zum Zitat Chang CH, Han KW (1990) Gain margins and phase margins for control systems with adjustable parameters. J Guid Control Dyn 13(3):404–408MATHCrossRef Chang CH, Han KW (1990) Gain margins and phase margins for control systems with adjustable parameters. J Guid Control Dyn 13(3):404–408MATHCrossRef
19.
Zurück zum Zitat Chang CH, Han KW (1989) Gain margin and phase margin analysis of a nuclear reactor control system with multiple transport lags. IEEE Trans Nucl Sci 36(4):1418–1425CrossRef Chang CH, Han KW (1989) Gain margin and phase margin analysis of a nuclear reactor control system with multiple transport lags. IEEE Trans Nucl Sci 36(4):1418–1425CrossRef
20.
Zurück zum Zitat Shenton AT, Shafiei Z (1994) Relative stability for control systems with adjustable parameters. J Guid Control Dyn 17(2):304–310MATHCrossRef Shenton AT, Shafiei Z (1994) Relative stability for control systems with adjustable parameters. J Guid Control Dyn 17(2):304–310MATHCrossRef
21.
Zurück zum Zitat Chang CH, Chang MK (1994) Analysis of gain margins and phase margins of a nonlinear reactor control system. IEEE Trans Nucl Sci 41(4):1686–1691CrossRef Chang CH, Chang MK (1994) Analysis of gain margins and phase margins of a nonlinear reactor control system. IEEE Trans Nucl Sci 41(4):1686–1691CrossRef
22.
Zurück zum Zitat Chang MK, Chang CH, Han KW (1993) Gain margins and phase margins for nonlinear control systems with adjustable parameters. In: Proceedings of the IEEE transaction industry and application society conference, pp 2123–2130 Chang MK, Chang CH, Han KW (1993) Gain margins and phase margins for nonlinear control systems with adjustable parameters. In: Proceedings of the IEEE transaction industry and application society conference, pp 2123–2130
23.
Zurück zum Zitat Chang YC, Han KW (1998) Analysis of limit cycles for a low flying vehicle with three nonlinearities. J Actual Probl Aviat Aerosp Syst 6(2):38–50MathSciNet Chang YC, Han KW (1998) Analysis of limit cycles for a low flying vehicle with three nonlinearities. J Actual Probl Aviat Aerosp Syst 6(2):38–50MathSciNet
24.
Zurück zum Zitat Wu BF, Perng JW, Chin HI (2005) Limit cycle analysis of nonlinear sampled-data systems by gain-phase margin approach. J Franklin Inst 342(2):175–192MATHCrossRef Wu BF, Perng JW, Chin HI (2005) Limit cycle analysis of nonlinear sampled-data systems by gain-phase margin approach. J Franklin Inst 342(2):175–192MATHCrossRef
Metadaten
Titel
Limit cycle prediction of a neurocontrol vehicle system based on gain-phase margin analysis
verfasst von
Jau-Woei Perng
Li-Shan Ma
Bing-Fei Wu
Publikationsdatum
01.06.2010
Verlag
Springer-Verlag
Erschienen in
Neural Computing and Applications / Ausgabe 4/2010
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-009-0319-2

Weitere Artikel der Ausgabe 4/2010

Neural Computing and Applications 4/2010 Zur Ausgabe

Premium Partner