Title :
Target problems under state constraints for impulsive controlled systems
Author_Institution :
Lab. de Rech. Balistiques et Aerodynamiques, Univ. de Bretagne Occidentale, Brest, France
Abstract :
We consider the problem of reaching a target without leaving a prescribed constraint set for a dynamical system described by a controlled differential equation and a controlled reset function. First, we characterize the set of initial conditions from which the objective can be reached. Then, we characterize the optimal reaching time function. Our approach is based on set-valued analysis and viability theory.
Keywords :
differential equations; nonlinear control systems; optimal control; controlled differential equation; controlled reset function; dynamical system; impulsive controlled systems; optimal reaching time function; set-valued analysis; state constraints; target reaching problems; viability theory; Approximation methods; Kernel; Optimal control; Optimization; Trajectory; Differential inclusions; Impulse control; Impulsive systems; Nonlinear systems; Optimal control;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
