Optimal control of singularly perturbed nonlinear systems with state-variable inequality constraintsThe established necessary conditions for optimality in nonlinear control problems that involve state-variable inequality constraints are applied to a class of singularly perturbed systems. The distinguishing feature of this class of two-time-scale systems is a transformation of the state-variable inequality constraint, present in the full order problem, to a constraint involving states and controls in the reduced problem. It is shown that, when a state constraint is active in the reduced problem, the boundary layer problem can be of finite time in the stretched time variable. Thus, the usual requirement for asymptotic stability of the boundary layer system is not applicable, and cannot be used to construct approximate boundary layer solutions. Several alternative solution methods are explored and illustrated with simple examples.
Document ID
19900060648
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Calise, A. J. (Georgia Inst. of Tech. Atlanta, GA, United States)
Corban, J. E. (Georgia Institute of Technology Atlanta, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1990
Subject Category
Cybernetics
Report/Patent Number
AIAA PAPER 90-3450
Meeting Information
Meeting: AIAA Guidance, Navigation and Control Conference