Differential Games Controllers That Confine a System to a Safe Region in the State Space, With Applications to Surge Tank Control
File(s)
Accepted version
Author(s)
Falugi, P
Kountouriotis, P-A
Vinter, RB
Type
Journal Article
Abstract
Surge tanks are units employed in chemical processing to regulate the flow of fluids between reactors. A notable feature of surge tank control is the need to constrain the magnitude of the Maximum Rate of Change (MROC) of the surge tank outflow, since excessive fluctuations in the rate of change of outflow can adversely affect down-stream processing (through disturbance of sediments, initiation of turbulence, etc.). Proportional + Integral controllers, traditionally employed in surge tank control, do not take direct account of the MROC. It is therefore of interest to explore alternative approaches. We show that the surge tank controller design problem naturally fits a differential games framework, proposed by Dupuis and McEneaney, for controlling a system to confine the state to a safe region of the state space. We show furthermore that the differential game arising in this way can be solved by decomposing it into a collection of (one player) optimal control problems. We discuss the implications of this decomposition technique, for the solution of other controller design problems possessing some features of the surge tank controller design problem.
Date Issued
2012-04-09
Date Acceptance
2012-04-09
Citation
IEEE Transactions on Automatic Control, 2012, 57 (11), pp.2778-2788
ISSN
1558-2523
Publisher
IEEE
Start Page
2778
End Page
2788
Journal / Book Title
IEEE Transactions on Automatic Control
Volume
57
Issue
11
Copyright Statement
© 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/G066477/1
Subjects
Science & Technology
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Engineering
AUTOMATION & CONTROL SYSTEMS
ENGINEERING, ELECTRICAL & ELECTRONIC
Game theory
optimal control
robust control
stochastic optimal control
AVERAGING LEVEL CONTROL
Industrial Engineering & Automation
0906 Electrical And Electronic Engineering
0102 Applied Mathematics
0913 Mechanical Engineering
Publication Status
Published