Conference paper

Jirsa L., Kárný M., Tesař L.

Abstract of Contributions to 5th International Workshop on Data-Algorithms-Decision Making

ÚTIA AV ČR, v.v.i

Praha

2009

Ing. Miroslav Kárný, DrSc. (ÚTIA - Oddělení adaptivních systémů)

fully probabilistc control design, aim elicitation, windsurf

A control design converts knowledge about the controlled system, constraints and control aims into the controller. Control aims must be quantified in the way compatible to the design. A systematic quantification of the control aims, called aim elicitation, is the least supported step of the design process. We present a solution of this problem within the framework of a fully probabilistic design (FPD) [1]. Any controller modifies the closed-loop behaviour to reach the control aims. The controller is chosen in order to minimize a given loss function. The FPD selects the controller that minimizes the Kullback- Leibler divergence of the joint probability density function (pdf) describing closed-loop behaviour to the ideal pdf. The ideal pdf expresses both the desired closed-loop behaviour and constraints on system inputs. Thus within the FPD, the aim elicitation reduces to the choice of the ideal pdf. For complex multidimensional systems, the task to construct the ideal pdf may represent a nontrivial problem requiring an expert experienced both in practical treatment of the system and theory as well.