
arXiv: 1505.05772
This paper presents a new approach to deal with the dual problem of system identification and regulation. The main feature consists of breaking the control input to the system into a regulator part and a persistently exciting part. The former is used to regulate the plant using a robust MPC formulation, in which the latter is treated as a bounded additive disturbance. The identification process is executed by a simple recursive least squares algorithm. In order to guarantee sufficient excitation for the identification, an additional non-convex constraint is enforced over the persistently exciting part.
Accepted for presentation at the American Control Conference 2016 (Boston, MA)
J.2, math.OC, I.2.8, Systems and Control (eess.SY), I.2.8; J.2, cs.SY, Electrical Engineering and Systems Science - Systems and Control, Optimization and Control (math.OC), FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Mathematics - Optimization and Control
J.2, math.OC, I.2.8, Systems and Control (eess.SY), I.2.8; J.2, cs.SY, Electrical Engineering and Systems Science - Systems and Control, Optimization and Control (math.OC), FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Mathematics - Optimization and Control
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