Dynamics and Precision Control of Uncertain Tumbling Multibody Systems

Autor: Firdaus E. Udwadia, Prasanth B. Koganti
Rok vydání: 2017
Předmět:
Zdroj: Journal of Guidance, Control, and Dynamics. 40:1176-1190
ISSN: 1533-3884
0731-5090
DOI: 10.2514/1.g002212
Popis: This paper deals with the precision control of tumbling multibody systems with uncertainties present in the descriptions of their mathematical models. A generic tumbling multibody system consisting of a rigid body with internal degrees of freedom is used. A two-step control methodology is developed. First, a nominal system is conceived that best approximates the actual physical system. An analytical dynamics-based control methodology is used to obtain the nominal control force that ensures that this nominal system satisfies the control requirements. This is done using the control methodology proposed by Udwadia (“Optimal Tracking Control of Nonlinear Dynamical Systems,” Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, Vol. 464, 2008, pp. 2341–2363). Second, an additional compensating generalized control force is designed to ensure that the actual controlled (uncertain) system tracks the trajectories of the nominal system so that the control requirements are also me...
Databáze: OpenAIRE