Skip to main content
Top

2015 | OriginalPaper | Chapter

101. Finite Time Proportional-Integral Sliding Mode Control of Theodolite Aiming Chaotic Motor with Time Varying Parameters

Authors : Zhenxin He, Chuntong Liu, Hongcai Li, Zhili Zhang, Xianxiang Huang

Published in: The Proceedings of the Third International Conference on Communications, Signal Processing, and Systems

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In the angle measuring using theodolite, the telescope is driven by the aiming motor to sight the target automatically. The parameters of aiming motor will vary with duty conditions to bring about aiming control system chaotic, which is harmful for the aiming system and the aiming results. The aiming motor control system exist the time-varying load and the inside disturbances, the dynamic model is established and analyzed. The behavior of chaos is proved. Due to terminal sliding control with good robustness, fast dynamic response, finite time convergence and high tracking precision, The finite time proportional-integral (PI) sliding mode structure and control strategy are given, and the system stability is analyzed. The chaotic orbits of the aiming motor control system are stabilized to arbitrary chosen the fixed points and periodic orbits by means of sliding mode method. Simulation results show that finite time PI sliding mode control can realize the stability and accuracy of aiming motor control system, and overcome the negative influence of the chaos for the aiming system.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

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"

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!

Literature
1.
go back to reference Chen J, Chau K, Chan C (1999) Chaos in voltage-mode controlled dc drive system. Int J Electron 86:857–874CrossRef Chen J, Chau K, Chan C (1999) Chaos in voltage-mode controlled dc drive system. Int J Electron 86:857–874CrossRef
2.
go back to reference Han W, Xu S, Chen L (2001) Prospect and review on the chaotic phenomena in engineering and applications of chaos. Electric Mach Control 5:251–255 Han W, Xu S, Chen L (2001) Prospect and review on the chaotic phenomena in engineering and applications of chaos. Electric Mach Control 5:251–255
3.
go back to reference Aline S, Marcelo A (2009) A multiparameter chaos control method based on OGY approach. Chaos Solit Fract 40:1376–1390MATHCrossRef Aline S, Marcelo A (2009) A multiparameter chaos control method based on OGY approach. Chaos Solit Fract 40:1376–1390MATHCrossRef
4.
go back to reference Casa F, Grebogi C (1997) Control of chaotic impacts. Int J Bifurc Chaos 7:951–955CrossRef Casa F, Grebogi C (1997) Control of chaotic impacts. Int J Bifurc Chaos 7:951–955CrossRef
5.
go back to reference Boccalettis S, Farini A, Arecchi F (1997) Adaptive strategies for recognition, control and synchronization of chaos. Chaos Solit Fract 8:1431–1448CrossRef Boccalettis S, Farini A, Arecchi F (1997) Adaptive strategies for recognition, control and synchronization of chaos. Chaos Solit Fract 8:1431–1448CrossRef
6.
go back to reference Wang J, Xue H, Si S (2009) Hybrid control of chaotic systems based on PSO and OGY method. Acta Phys 58:3729–3733 Wang J, Xue H, Si S (2009) Hybrid control of chaotic systems based on PSO and OGY method. Acta Phys 58:3729–3733
7.
go back to reference Utkin V (1978) Sliding modes and their application in variable structure system. Nauka, Moscow Utkin V (1978) Sliding modes and their application in variable structure system. Nauka, Moscow
8.
go back to reference Liu J, Sun F (2007) Research and development on theory and algorithms of sliding mode control. Control Theory Appl 33:407–416 Liu J, Sun F (2007) Research and development on theory and algorithms of sliding mode control. Control Theory Appl 33:407–416
9.
go back to reference Zak M (1988) Terminal attractors for addressable memory in neural networks. Phys Lett 33:18–22CrossRef Zak M (1988) Terminal attractors for addressable memory in neural networks. Phys Lett 33:18–22CrossRef
10.
go back to reference Iglesias W, Xu L, Saito O (1996) Fast convergence for tracking problem of Nth degree system by sliding mode control. In: Proceedings of the 35th conference on decision and control, Kobe, pp 4607–4612 Iglesias W, Xu L, Saito O (1996) Fast convergence for tracking problem of Nth degree system by sliding mode control. In: Proceedings of the 35th conference on decision and control, Kobe, pp 4607–4612
11.
go back to reference Harashima F et al (1987) Adaptive control of a flexible arm with a variable payload. In: Proceedings of IACS/ IFAC international symposium on modeling and simulation of distributed parameter systems, Osaka, Japan, pp 323–328 Harashima F et al (1987) Adaptive control of a flexible arm with a variable payload. In: Proceedings of IACS/ IFAC international symposium on modeling and simulation of distributed parameter systems, Osaka, Japan, pp 323–328
12.
go back to reference Ge Z, Cheng J (2005) Chaos synchronization and parameter identification of three time scales brushless DC motor system. Chaos Solit Fract 24:597–616MATHCrossRef Ge Z, Cheng J (2005) Chaos synchronization and parameter identification of three time scales brushless DC motor system. Chaos Solit Fract 24:597–616MATHCrossRef
13.
go back to reference Shimada I, Nagashima T (1970) A numerical approach to ergodic problem of dissipative dynamical systems. Prog Theor Phys 61:1605–1616MathSciNetCrossRef Shimada I, Nagashima T (1970) A numerical approach to ergodic problem of dissipative dynamical systems. Prog Theor Phys 61:1605–1616MathSciNetCrossRef
14.
go back to reference Benettin G, Galgani L, Strelcyn J (1976) Kolmogorov entropy and numerical experiments. Phys Rev A 14:2338–2345CrossRef Benettin G, Galgani L, Strelcyn J (1976) Kolmogorov entropy and numerical experiments. Phys Rev A 14:2338–2345CrossRef
Metadata
Title
Finite Time Proportional-Integral Sliding Mode Control of Theodolite Aiming Chaotic Motor with Time Varying Parameters
Authors
Zhenxin He
Chuntong Liu
Hongcai Li
Zhili Zhang
Xianxiang Huang
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-08991-1_101