Partially-regular bounded-control problems for nonlinear systems

COSTANZA, VICENTE; PABLO S. RIVADENEIRA

Buenos Aires

Congreso; 24 Congreso Argentino de Control Automático; 2014

AADECA

A new theoretical result concerning finite-horizon, deterministic, optimalcontrol problems with nonlinear smooth dynamics, when there exists a timesubinterval of regularity, is established and subsequently illustrated through theexploration of a test-case. The admissible values of the manipulated variable areassumed to be bounded, which may turn the Hamilton-Jacobi-Bellman equationinappropriate. However the demonstration of the main theorem uses the propertiesof regular Hamiltonian flows, combined with the rigorous application of Pontryagin?smaximum principle. The potentiality of this result to design on-line numerical schemesfor suboptimal control strategies is explored