A formulation by minimization of differential entropy for optimal control system

Masayuki Goto, Nobuhiko Tawara

Research output: Contribution to journalArticle

Abstract

This paper proposes a new formulation which minimizes the differential entropy for an optimal control problem. The conventional criterion of the optimal regulator control is a standard quadratic cost function E[M{x(t)}2 + N{u(t)}2], where x(t) is a state variable, u(t) is an input value, and M and N are positive weights. However, increasing the number of the variables of the system it is complex to find the solution of the optimal regulator control. Therefore, the simplicity of the solution is required. In contrast to the optimal regulator control, we propose the minimum entropy control which minimizes a differential entropy of the weighted sum of x(t) and u(t). This solution is derived on the assumptions that the linear control and x(t)u(t) ≦ 0 are satisfied. As the result, the formula of the minimum entropy control is very simple and clear. This result will be useful for the further work with multi variables of simple control formulation.

Original language English 569-575 7 IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E79-A 4 Published - 1996

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Optimal control systems
Optimal System
Optimal Control
Entropy
Control System
Formulation
Regulator
Minimise
Linear Control
Weighted Sums
Cost Function
Optimal Control Problem
Simplicity
Cost functions

Keywords

• Control theory
• Differential entropy
• Minimum entropy control
• Optimal regulator control

ASJC Scopus subject areas

• Electrical and Electronic Engineering
• Hardware and Architecture
• Information Systems

Cite this

In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E79-A, No. 4, 1996, p. 569-575.

Research output: Contribution to journalArticle

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