Autors: Mishkov, R. L., Petrov, V. S.
Title: Adaptive Tuning Functions Tracking Control with Nonlinear Adaptive Observers
Keywords: nonlinear systems, adaptive control, adaptive observers, adaptive parameter estimators, Lyapunov stability

Abstract: The paper is dedicated to the derivation of a unified approach for nonlinear adaptive closed loop system design with nonlinear adaptive state and parameter observers combined with tuning functions based nonlinear adaptive control for trajectory tracking. The proposed approach guarantees asymptotic stability of the closed loop nonlinear adaptive system with respect to the tracking and state estimation errors and Lyapunov stability of the parameter estimator. Advantages of the approach are the lack of overparametrization resulting in minimal number of estimator equations and the preservation of the overdamped performance specifications of the closed loop nonlinear adaptive system in its whole range of operation. The application of the approach to a permanent magnet synchronous motor driven inverted pendulum ends with simulation of the closed loop nonlinear adaptive system time responses.

References

  1. Bastin G., Gevers M., 1988, Stable Adaptive Observers for Nonlinear Time-varying Systems, IEEE Transactions on Automatic Control, Volume 33(7), pp. 650 – 658
  2. Besancon G., 2000, Remarks on Nonlinear Adaptive Observer Design, Systems & Control Letters, Volume 41(4), pp. 271 – 280
  3. Kanellakopoulos, I., Krstic M., Kokotovic P., 1992, Interlaced Controller-Observer Design for Adaptive Nonlinear Control, Chicago, IL, USA, 24-26 June 1992, <1992 American Control Conference>, IEEE
  4. Kanellakopoulos I., Kokotovic P., Middleton R., 1990, Observer-based Adaptive Control of Nonlinear Systems Under Matching Conditions, San Diego, CA, USA, 23-25 May 1990, <1990 American Control Conference>, IEEE
  5. Krstic M., Kanellakopoulos I., Kokotovic, P., 1995, Nonlinear and Adaptive Control Design, New York, NY, USA, John Wiley and Sons Inc.
  6. Marino R., 1990, Adaptive Observers for Single Output Nonlinear Systems, IEEE Transactions on Automatic Control, Volume 35(9), pp. 1054 – 1058
  7. Marino R., Tomei, P., 1995, Adaptive Observers with Arbitrary Exponential Rate of Convergence for Nonlinear Systems, IEEE Transactions on Automatic Control, Volume 40(7), pp. 1300 – 1304
  8. Marino R., Tomei, P., 1992, Global Adaptive Observers for Nonlinear Systems via Filtered Transformations, IEEE Transactions on Automatic Control, Volume 37(8), pp. 1239 – 1245
  9. Mishkov, R. L., 2005, Nonlinear Observer Design by Reduced Generalized Observer Canonical Form, International Journal of Control, Volume 78(3), pp. 172 – 185
  10. Mishkov, R., Darmonski, S., 2011, Adaptive Nonlinear Trajectory Tracking Control for DC Motor Driven Inverted Pendulum, Sofia, Bulgaria, 2011, <International Conference Automatics and Informatics'11>, John Atanasoff Society of Automatics and Informatics
  11. Mishkov, R., Darmonski, S., 2011, Adaptive Tuning Functions System Design for Inverted Pendulum, International Conference Engineering, Technologies and Systems TechSys, 2011, Volume 16(1), pp. 329–334
  12. Mishkov, R. L, Petrov, V. S, 2012,International Conference Automatics and Informatics'12: Advanced control nonlinear state space models of permanent magnet synchronous motors, Sofia, Bulgaria, pp. 70 - 73
  13. Mishkov, R. L, Petrov, V. S, 2013,Seventh National Conference with International Participation "Process Automation in the Food and Biotechnology Industries", 2013 / Scientific Works "Food Science, Engineering and Technologies 2013", Vol. LX, No. 2: Nonlinear adaptive observer design in combined error nonlinear adaptive control, Пловдив, Bulgaria, pp. 95 – 99
  14. Mishkov, R. L, Petrov, V. S, 2011,International Conference Engineering, Technologies and Systems, TechSys 2011: Strictly orientated state space models of permanent-magnet synchronous motors for feedback linearization control, Пловдив, Bulgaria, pp. 335 - 340
  15. Petrov, V. S, Darmonski, S. G., 2012,Student Conference Electrical Engineering, Information and Communication Technology EEICT: Observer Based Adaptive Nonlinear Control System Design for a Single Link Manipulator, Brno, Czech Republic, pp. 116–120
  16. Slotine J.-J., Li, W., 1991, Applied Nonlinear Control, Englewood Cliffs, New Jersey, USA, Prentice Hall

Issue

Information technologies and control, vol. 11, issue 2, pp. 14 - 21, 2014, Bulgaria, John Atanasoff Society of Automatics and Informatics, ISSN 2367-5357

Full text of the publication

Вид: публикация в международен форум