Supervisory target control for hybrid systems

A. Trontis, M.P. Spathopoulos

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

The problem of systematically synthesizing supervisory control laws that satisfy eventuality and efficiency requirements for hybrid systems modelled by hybrid automata is considered. Here, the efficiency requirement is specified by weighting the discrete transitions of the system. The optimization of the efficiency requirement is considered in the min-max sense due to the existence of disturbance inputs. Adopting a game theoretic approach, the high priority eventuality requirement is considered first and the class of controls, in which the low priority efficiency requirement should be optimized, is obtained. Then, a dynamic programming algorithm, which determines the value function of the optimization problem, is derived. A synthesis problem on a simplified batch process plant is considered to illustrate a potential application of the approach.
LanguageEnglish
Pages1142-1158
Number of pages16
JournalInternational Journal of Control
Volume76
Issue number11
DOIs
Publication statusPublished - 2003

Fingerprint

Hybrid systems
Dynamic programming

Keywords

  • control engineering
  • mechanical engineering
  • control systems
  • hybrid systems

Cite this

Trontis, A. ; Spathopoulos, M.P. / Supervisory target control for hybrid systems. In: International Journal of Control. 2003 ; Vol. 76, No. 11. pp. 1142-1158.
@article{8769b9706b6043489c6b56bb754e88ad,
title = "Supervisory target control for hybrid systems",
abstract = "The problem of systematically synthesizing supervisory control laws that satisfy eventuality and efficiency requirements for hybrid systems modelled by hybrid automata is considered. Here, the efficiency requirement is specified by weighting the discrete transitions of the system. The optimization of the efficiency requirement is considered in the min-max sense due to the existence of disturbance inputs. Adopting a game theoretic approach, the high priority eventuality requirement is considered first and the class of controls, in which the low priority efficiency requirement should be optimized, is obtained. Then, a dynamic programming algorithm, which determines the value function of the optimization problem, is derived. A synthesis problem on a simplified batch process plant is considered to illustrate a potential application of the approach.",
keywords = "control engineering, mechanical engineering, control systems, hybrid systems",
author = "A. Trontis and M.P. Spathopoulos",
note = "Also presented at 15th IFAC World Congress 2002, 21-26 Jul 2002, Spain.",
year = "2003",
doi = "10.1080/0020717031000123328",
language = "English",
volume = "76",
pages = "1142--1158",
journal = "International Journal of Control",
issn = "0020-7179",
number = "11",

}

Supervisory target control for hybrid systems. / Trontis, A.; Spathopoulos, M.P.

In: International Journal of Control, Vol. 76, No. 11, 2003, p. 1142-1158.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Supervisory target control for hybrid systems

AU - Trontis, A.

AU - Spathopoulos, M.P.

N1 - Also presented at 15th IFAC World Congress 2002, 21-26 Jul 2002, Spain.

PY - 2003

Y1 - 2003

N2 - The problem of systematically synthesizing supervisory control laws that satisfy eventuality and efficiency requirements for hybrid systems modelled by hybrid automata is considered. Here, the efficiency requirement is specified by weighting the discrete transitions of the system. The optimization of the efficiency requirement is considered in the min-max sense due to the existence of disturbance inputs. Adopting a game theoretic approach, the high priority eventuality requirement is considered first and the class of controls, in which the low priority efficiency requirement should be optimized, is obtained. Then, a dynamic programming algorithm, which determines the value function of the optimization problem, is derived. A synthesis problem on a simplified batch process plant is considered to illustrate a potential application of the approach.

AB - The problem of systematically synthesizing supervisory control laws that satisfy eventuality and efficiency requirements for hybrid systems modelled by hybrid automata is considered. Here, the efficiency requirement is specified by weighting the discrete transitions of the system. The optimization of the efficiency requirement is considered in the min-max sense due to the existence of disturbance inputs. Adopting a game theoretic approach, the high priority eventuality requirement is considered first and the class of controls, in which the low priority efficiency requirement should be optimized, is obtained. Then, a dynamic programming algorithm, which determines the value function of the optimization problem, is derived. A synthesis problem on a simplified batch process plant is considered to illustrate a potential application of the approach.

KW - control engineering

KW - mechanical engineering

KW - control systems

KW - hybrid systems

UR - http://dx.doi.org/10.1080/0020717031000123328

U2 - 10.1080/0020717031000123328

DO - 10.1080/0020717031000123328

M3 - Article

VL - 76

SP - 1142

EP - 1158

JO - International Journal of Control

T2 - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

IS - 11

ER -