Authors:Paolo Di Giamberardino andDaniela Iacoviello

Affiliation:Sapienza University of Rome, Italy

Keyword(s):Optimal Control, State-based Cost Function, Switching Control, Epidemic Models, HIV Model.

RelatedOntology Subjects/Areas/Topics:Artificial Intelligence ;Engineering Applications ;Formal Methods ;Informatics in Control, Automation and Robotics ;Intelligent Control Systems and Optimization ;Optimization Algorithms ;Planning and Scheduling ;Robotics and Automation ;Signal Processing, Sensors, Systems Modeling and Control ;Simulation and Modeling ;Symbolic Systems

Abstract:In this paper, the problem of optimal resource allocation depending on the system evolution is faced. Apreliminary analysis defines the global effort required in any subset of the system state space according toneeded or desired goals. Then, in the definition of the cost function, the control action is weighted by apiecewise constant function of the state, whose different constant values are defined for each subset previouslydefined. The aim is to weight the control according to the distinct conditions, so getting different solutionsin each state space region so to optimize the planned resources according to the global goal. A constructivealgorithm to compute iteratively the final control law is outlined. The effectiveness of the proposed approachis tested on a typical model of human immunodeficiency virus (HIV) present in literature.