Abstract
Analytical conditions and practical methods of their realization are proposed to solve a problem of a command signal tracking for a nonlinear disturbed system. Nonlinear disturbed plants consisting of linear dynamic block and nonlinear block in feedback are considered. Nonlinear part of the plant and disturbance are unknown and bounded. The paper illustrates a possibility of applications of proposed algorithms to control libration angle of satellite.
Similar content being viewed by others
References
Andrievskii B R, Fradkov A L. Control of chaos: methods and applications. I. Methods[J]. Automation and Remote Control, 2003, 64(5):673–713.
Andrievskii B R, Fradkov A L. Control of chaos: methods and applications. II. Applications[J]. Automation and Remote Control, 2004, 65(4):505–533.
Fradkov A L, Pogromsky A Yu. Methods of nonlinear and adaptive control of chaotic systems[C]. In: 13th Triennial World Congress IFAC, San Francisco, USA, 1996, 185–190.
Evans R J, Fradkov A L. Control of chaos: some open problems[C]. In: Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, Florida, USA, 2001, 698–703.
Chen Liqun, Liu Yanzhu. Chaotic attitude motion of a magnetic rigid spacecraft and its control[J]. Int J Non-linear Mechanics, 2002, 37(3):493–504.
Liu Yanzhu, Yu Hongjie, Chen Liqun. Chaotic attitude motion and its control of spacecraft in elliptic orbit and geomagnetic field[J]. Acta Astronautica, 2004, 55(319):487–494.
Bobtsov A A, Nikolaev N A. Design of the control of nonlinear systems with functional and parametric uncertainties[J]. Automation and Remote Control, 2005, 66(1):108–118.
Fradkov A L. Synthesis of adaptive system of stabilization of linear dynamic plants[J]. Automation and Remote Control, 1974, 35(12):1960–1966.
Fradkov A L, Miroshnik I V, Nikiforov V O. Ninlinear and adaptive control of complex system[M]. Dordrecht: Kluwer Academic Publishers, 1999.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by LIU Zeng-rong
Project supported by the Russian Foundation for Basic Research (RFBR) (No. N06-01-08038-ofi)
Rights and permissions
About this article
Cite this article
Bobtsov, A., Nikolaev, N. & Slita, O. Control of chaotic oscillations of a satellite. Appl Math Mech 28, 893–900 (2007). https://doi.org/10.1007/s10483-007-0706-z
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10483-007-0706-z
Key words
- adaptive control
- chaotic behaviour
- satellite control
- nonlinear stabilization
- nonlinear control
- output control