Authors:
Paolo Di Giamberardino
and
Daniela Iacoviello
Affiliation:
Sapienza University of Rome, Italy
Keyword(s):
Optimal Control, State-based Cost Function, Switching Control, Epidemic Models, HIV Model.
Related
Ontology
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. A
preliminary analysis defines the global effort required in any subset of the system state space according to
needed or desired goals. Then, in the definition of the cost function, the control action is weighted by a
piecewise constant function of the state, whose different constant values are defined for each subset previously
defined. The aim is to weight the control according to the distinct conditions, so getting different solutions
in each state space region so to optimize the planned resources according to the global goal. A constructive
algorithm to compute iteratively the final control law is outlined. The effectiveness of the proposed approach
is tested on a typical model of human immunodeficiency virus (HIV) present in literature.