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Cyclic Control: Problem Formulation and Stability Analysis

Title
Cyclic Control: Problem Formulation and Stability Analysis
Authors
Eun, YongsoonGross, Eric M.Kabamba, Pierre T.Meerkov, Semyon M.Menezes, Amor A.Ossareh, Hamid R.
DGIST Authors
Eun, Yongsoon
Issue Date
2013-09
Citation
Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME, 135(5)
Type
Article
Article Type
Article
Keywords
ActuatorsActuators and SensorsAsymptotic StabilityClosed-Loop PolesProblem FormulationSensorsSingle ActuatorsStability AnalysisStabilizabilityStabilizability ConditionsTemperature Stabilization
ISSN
0022-0434
Abstract
This paper considers the problem of controlling rotating machinery with actuators and sensors fixed in inertial space. Such a problem arises in control of charging and fusing stages in the xerographic process, drilling and milling machines, and turbo machinery. If a rotating device is represented as a set of discrete wedges, the resulting system can be conceptualized as a set of plants (wedges) with a single actuator and sensor. In such architecture, each plant can be controlled only intermittently, in a stroboscopic manner. This leads to the problem of cyclic control (CC) considered in this paper. Specifically, the problem of stabilizability in CC architecture is considered, and the resulting stabilizability conditions are compared with those in the usual, permanently acting control (PAC). In this regard, it is shown that the domain of asymptotic stability under CC is an open disc in the open left half plane (OLHP), rather than the OLHP itself, and the controller gains that place the closed loop poles at the desired locations under CC are N times larger than those under PAC, where N is the number of wedges. The results are applied to temperature stabilization of the fusing stage of a xerographic process. © 2013 by ASME.
URI
http://hdl.handle.net/20.500.11750/5301
DOI
10.1115/1.4024201
Publisher
ASME
Related Researcher
  • Author Eun, Yong Soon DSC Lab(Dynamic Systems and Control Laboratory)
  • Research Interests Resilient control systems; Control systems with nonlinear sensors and actuators; Quasi-linear control systems; Intelligent transportation systems; Networked control systems
Files:
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Collection:
Department of Information and Communication EngineeringDSC Lab(Dynamic Systems and Control Laboratory)1. Journal Articles


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