Polynomial Linear Quadratic Gaussian and Sliding Mode Observer for a Quadrotor Unmanned Aerial Vehicle

Journal of Robotics and Mechatronics

Volumn 17, Issue 4, 2005, Pages 483-495

  Mokhtari, Abdellah ^a   Benallegue, Abdelaziz ^b   Belaidi, Abdelkader ^c  

^a UNIVERSITÉ DES SCIENCES ET DE LA TECHNOLOGIE D ORAN MOHAMED BOUDIAF   (Algeria)

^b Lab de Robotique de Versailles   (France)

^c NATIONAL POLYTECHNIC SCHOOL OF ORAN   (Algeria)

Author keywords

feedback linearization; polynomial LQG; sliding mode observer

Indexed keywords

ANTENNAS; COMPUTATION THEORY; CONTROLLERS; FREQUENCY DOMAIN ANALYSIS; MIMO SYSTEMS; POLYNOMIALS; ROBUST CONTROL; ROBUSTNESS (CONTROL SYSTEMS); SLIDING MODE CONTROL; UNMANNED AERIAL VEHICLES (UAV);

FEEDBACK LINEARISATION; GAUSSIAN METHODS; GAUSSIAN MODES; LINEAR QUADRATIC GAUSSIAN; NON LINEAR; POLYNOMIAL LQG; QUAD ROTORS; QUADROTOR UNMANNED AERIAL VEHICLES; SLIDING-MODE OBSERVER; UNCERTAINTY;

FEEDBACK LINEARIZATION;

EID: 34250690030     PISSN: 09153942     EISSN: 18838049     Source Type: Journal    
DOI: 10.20965/jrm.2005.p0483     Document Type: Article

References (24)

1. C. Gökçek, P. T. Kabamba, and S. M. Meerkov, “An LQR/LQG Theory for Systems With Saturating Actuators,” Trans. Autom. Control, Vol.46, No.10, p. 1529, 2001.
2. V. Kucera, “Discrete Linear Control,” Wiley: Chichester, 1979.
3. V. Kucera, “Stochastic multivariable control: A polynomial equation approach,” IEEE Trans. Autom. Control, Vol.AC-25, No.5, pp. 913-919, 1980.
4. J. J. E. Slotine, “Sliding controller design for nonlinear systems,” International Journal of Control, Vol.38, pp. 465-492, Feb. 1984.
5. J.-J. E. Slotine, and J. K. Hedrick, “Robust Input-Output Feedback Linearization,” International Journal of Control, Vol.57, pp. 1133-1139, 1993.
6. W. T. Baumann, and W. J. Rugh, “Feedback control of nonlinear systems by extended linearization,” IEEE Transactions on Automatic Control, Vol.AC-31, No.1, pp. 40-46, Jan. 1986.
7. K. Youcef-Toumi, and O. Ito, “Time Delay Controller of Systems with Unknown Dynamics,” ASME Journal of Dynamic Systems, Measurement and Control, 112(1), pp. 133-142, Mar. 1990.
8. D. Luenberger, “Observers for multivariable systems,” IEEE Trans. Autom. Control, Vol.11, pp. 190-197, 1966.
9. W. Wang, and Z. Gao, “A Comparison Study of Advanced State Observer Design Techniques,” American Control Conference, at Den-ver, CO. June 4-6, 2003.
10. V. Mistler, A. Benallegue, and N. K. M’Sirdi, “Exact Linearization and Non-interacting Control of a 4 Rotors Helicopter via Dynamic Feedback,” 10th IEEE Int. Workshop on Robot-Human Interactive Communication (Roman’2001), Paris, Sep. 2001.
11. H. K. Khalil, “Nonlinear Systems,” McMillan Publishing Company, New York, 1992.
12. M. J. Grimble, “Controller for LQG self tuning application with coloured measurement noise and dynamic costing,” IEE Proc., Vol.133, Pt D, No.1, 1983.
13. M. J. Grimble, “LQG design of discrete systems using a dual crite-rion,” IEE Proc., Vol.192, No.2, pp. 66-68, 1985.
14. M. J. Grimble, “Dual criterion stochastic optimal control problem for robustness improvement,” IEEE Trans. Autom. Control, Vol.AC-31, No.2, pp. 181-185, 1986.
15. E. William, and S. Levine, “The Control Handbook,” CRC Press/IEEE Press, 1996.
16. F. M. Callier, and J. Winkin, “The spectral factorization problem for SISO distributed systems,” in Modelling, robustness and sensitivity reduction in control systems (R.F. Curtain, ed.), NATO ASI Series, Vol.F34, Springer-Verlag, Berlin Heidelberg, pp. 463-489, 1987.
17. F. M. Callier, and J. Winkin, “Spectral factorization and LQ-optimal regulation for multivariable distributed ystems,” Int. J. of Control, Vol.52, No.1, pp. 55-75, 1990.
18. A. H. Sayed, and T. Kailath, “A Survey of Spectral Factorization Methods,” Journal of Numerical Linear Algebra With Applications, Vol.8, pp. 467-496, 2001.
19. C. M. Dorling, and A. S. I. Zinober, “A comparison study of the sensitivity of observers,” Proceeding First IASTED Symposium on Applied Control and Identification, Copenhagen, pp. 6.32-6.37, 1983.
20. J. Slotine, J. K. Hedrick, and E. A. Misawa, “On sliding observers for nonlinear systems,” Journal of Dynamic Systems, Measurement, and Control, Vol.109, p. 245, 1987.
21. J. Slotine, and S. Sastry, “Tracking Control of Non-linear Systems Using Sliding Surfaces, with Application to Robot Manipulators,” Int. J. Control, Vol.38, pp. 465-492, 1983.
22. V. I. Utkin, “Sliding Modes in Control and Optimization,” Springer-Verlag, Berlin, 1992.
23. S. Drakunov, “Sliding mode observer based on equivalent control method,” Proceeding of the 34th IEEE CDC92, pp. 2368-2369, 1992.
24. S. Drakunov, and V. Utkin, “Sliding mode observer: Tutorial,” Proceeding of the 34th IEEE CDC95, 1995.