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A benchmark problem for nonlinear control design
Author(s) -
Bupp Robert T.,
Bernstein Dennis S.,
Coppola Vincent T.
Publication year - 1998
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/(sici)1099-1239(19980415/30)8:4/5<307::aid-rnc354>3.0.co;2-7
Subject(s) - aerospace , benchmark (surveying) , library science , management , art history , engineering , operations research , humanities , history , art , computer science , cartography , geography , aerospace engineering , economics
This paper describes a nonlinear control design problem involving the nonlinear interaction of a translational oscillator and an eccentric rotational proof mass. This problem provides a benchmark for examining nonlinear control design techniques within the framework of a nonlinear fourth-order dynamical system. The problem is posed in the spirit of the linear benchmark problem described in Reference 1. This system was originally studied as a simplified model of a dual-spin spacecraft to investigate the resonance capture phenomenon.2 More recently, it has been studied to investigate the utility of a rotational proof-mass actuator for stabilizing translational motion.3~5 Viewed in this way, the rotational/translational proof-mass actuator (RTAC) has the feature that the nonlinearities associated with the actuator stroke limitation are implicit in the system dynamics. In contrast, the stroke limitation constraint must be considered separately in linear translational proof-mass actuators.6 A similar system has been studied as a rotating unbalanced mass (RUM) actuator in References 7 and 8.