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Neural Computing and Applications

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01-06-2010 | Original Article

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

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

Published in: Neural Computing and Applications | Issue 4/2010

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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.

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Gelb A, Velde WEV (1968) Multiple input describing functions and nonlinear system design. McGraw-Hill, New YorkMATH

Siljak DD (1969) Nonlinear systems—the parameter analysis and design. Wiley, New YorkMATH

Han KW (1977) Nonlinear control systems—some practical methods. Academic Cultural Company, CaliforniaMATH

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

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

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

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

Wang QG, Zou B, Lee TH, Bi Q (1997) Auto-tuning of multivariable PID controllers from decentralized relay feedback. Automatica 33(3):319–330MATHCrossRefMathSciNet

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.

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.

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.

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.

Delgado A, Warwick K, Kambhampati C (1998) Limit cycles in neurocontrolled minirobots. In: Proceedings of the UKACC international conference control, pp 173–177

14.

Siljak DD (1989) Parameter space methods for robust control design: a guide tour. IEEE Trans Automat Contr 34(7):674–688MATHCrossRefMathSciNet

15.

Han KW, Thaler GJ (1966) Control system analysis and design using a parameter space method. IEEE Trans Automat Contr 11(3):560–563CrossRef

16.

Ackermann J (1980) Parameter space design of robust control systems. IEEE Trans Automat Contr 25(6):1058–1072MATHCrossRef

17.

Cavallo A, Maria GE, Verde L (1992) Robust control systems: a parameter space design. J Guid Control Dyn 15(5):1207–1215CrossRef

18.

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.

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.

Shenton AT, Shafiei Z (1994) Relative stability for control systems with adjustable parameters. J Guid Control Dyn 17(2):304–310MATHCrossRef

21.

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.

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.

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.

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

Title: Limit cycle prediction of a neurocontrol vehicle system based on gain-phase margin analysis
Authors: Jau-Woei Perng
Li-Shan Ma
Bing-Fei Wu
Publication date: 01-06-2010
Publisher: Springer-Verlag
Published in: Neural Computing and Applications / Issue 4/2010
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-009-0319-2

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