IEICE TRANSACTIONS on Fundamentals
A formulation by Minimization of Differential Entropy for Optimal Control System
Summary :
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{v(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)
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E79-A No.4 pp.569-577
- Publication Date
- 1996/04/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Systems and Control
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Masayuki GOTOH, Shigeichi HIRASAWA, Nobuhiko TAWARA, "A formulation by Minimization of Differential Entropy for Optimal Control System" in IEICE TRANSACTIONS on Fundamentals,
vol. E79-A, no. 4, pp. 569-577, April 1996, doi: .
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{v(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)
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e79-a_4_569/_p
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@ARTICLE{e79-a_4_569,
author={Masayuki GOTOH, Shigeichi HIRASAWA, Nobuhiko TAWARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A formulation by Minimization of Differential Entropy for Optimal Control System},
year={1996},
volume={E79-A},
number={4},
pages={569-577},
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{v(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)
keywords={},
doi={},
ISSN={},
month={April},}
Copy
TY - JOUR
TI - A formulation by Minimization of Differential Entropy for Optimal Control System
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 569
EP - 577
AU - Masayuki GOTOH
AU - Shigeichi HIRASAWA
AU - Nobuhiko TAWARA
PY - 1996
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E79-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 1996
AB - 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{v(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)
ER -
English
