Bifurcation analysis of attitude control systems with switching-constrained actuators

Nonlinear Dynamics

Volumn 51, Issue 1-2, 2008, Pages 207-216

  Mesquita, A ^a   Rempel, E L ^a   Kienitz, K H ^a  

^a INSTITUTO TECNOLÓGICO DE AERONÁUTICA   (Brazil)

Author keywords

Attitude control; Border collision; Chaotic systems; Limit cycles; Quasi periodic motion

Indexed keywords

ACTUATORS; BIFURCATION (MATHEMATICS); CHAOTIC SYSTEMS; CONSTRAINT THEORY; LYAPUNOV METHODS; MATHEMATICAL MODELS; SWITCHING FUNCTIONS;

BORDER-COLLISION; PERSISTENT MOTION; PERSISTENT MOTIONS; QUASI-PERIODIC MOTION; SWITCHING-TIME RESTRICTIONS;

CONTROL SYSTEM ANALYSIS;

EID: 35548970728     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-007-9204-7     Document Type: Article

References (18)

1. Mendel, J.: On-off limit-cycle controllers for reaction-jet-controlled systems. IEEE Trans. Automatic Control 15(3), 285-299 (1970)
2. Won, C.: Comparative study of various control methods for attitude control of a leo satellite. Aerosp. Sci. Technol. 3(5), 323-333 (1999)
3. Oliveira, N.M., Kienitz, K.H.: Attitude controller design for a system using actuators with switching-time restrictions and delays. In: Proceedings of AIAA Guidance, Navigation, and Control Conference, Denver, CO, AIAA-2000-3967 (2000)
4. Antropov, N.N., Diakonov, G.A., Kazeev, M.N., Khodnenko, V.P., Kim, V., Popov, G.A., Pokryshkin, A.I.: Pulsed plasma thrusters for spacecraft attitude and orbit control system. In: Proceedings of the 26th International Propulsion Conference, Kitakyushu, Japan, October 17-21, pp. 1129-1135 (1999)
5. Avanzini, G., de Matteis, G.: Bifurcation analysis of attitude dynamics in rigid spacecraft with switching control logics. J. Guid. Control Dyn. 24(5), 953-959 (2001)
6. Kienitz, K.H., Bals, J.: Pulse modulation for attitude control with thrusters subject to switching restrictions. Aerosp. Sci. Technol. 9(7), 635-640 (2005)
7. Mesquita, A.R., Kienitz, K.H.: Persistent motion and chaos in attitude control with switching actuators. In: Proceedings of 16th IFAC World Congress, Prague, July 4-8, Conference CD-rom, paper Th-A03-TP/15 (2005)
8. Grebogi, C., Ott, E., Yorke, J.A.: Crises, sudden changes in chaotic attractors, and transient chaos Physica D 7(1-3), 181-200 (1983)
9. Rempel, E.L., Chian, A.C.-L.: Intermittency induced by attractor-merging crisis in the Kuramoto-Sivashinsky equation. Phys. Rev. E 71(1), 016203 (2005)
10. Nusse, H.E., Ott, E., Yorke, J.A.: Border-collision bifurcations: an explanation for observed bifurcation phenomena. Phys. Rev. E 49(2), 1073-1076 (1994)
11. Banerjee, S., Ranjan, P., Grebogi, C.: Bifurcation in two-dimensional piecewise smooth maps -theory and applications in switching circuits. IEEE Trans. Circuits Syst. I 47(5), 633-643 (2000)
12. Zhusubaliyev, Zh.T., Soukhoterin, E.A., Mosekilde, E.: Border-collision bifurcations on a two-dimensional torus. Chaos Solitons Fractals 13(9), 1889-1915 (2002)
13. Gille, J. Ch., Decaulne, P., Pélegrin, M.: Méthodes D'Étude des Systèmes Asservis Non Linéaires. Dunod, Paris, France (1967)
14. Alligood, K.T., Sauer, T.D., Yorke, J.A.: Chaos: An Introduction to Dynamical Systems. Springer-Verlag, New York (1996)
15. Müller, P.: Calculation of Lyapunov exponents for dynamic systems with discontinuities. Chaos Solitons Fractals 5(9), 1671-1681 (1995)
16. Eckmann, J.-P., Ruelle, D.: Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57(3), 617-656 (1985)
17. Orrell, D., Smith, L.: Visualising bifurcations in high dimensional systems: the spectral bifurcation diagram. Int. J. Bif. Chaos 13(10), 3015-3027 (2003)
18. Moser, J.: On the theory of quasi-periodic motions. SIAM Rev. 8(2), 145-172 (1966)