An LQ-solution to a control problem associated with a solar thermal central receiver

Sworder, David D.; Rogers, R. O.

doi:10.1109/tac.1983.1103151

Cited by 254 publications

(104 citation statements)

References 8 publications

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“…Much more equations are also included in (1) (see, e.g., [5] and [23] The purpose of this note is to develop the Razumihkin-type theorem on pth moment input-to-state stability (ISS) of HSRSs and its applications. For definitions of pth moment stability and input-to-state stability, readers are referred to, e.g., [6], [7], [9], [11], [17], [19], [20], and [21]. Let us introduce the definition of pth moment ISS of HSRSs, which is consistent with the definition of ISS for deterministic systems (see, e.g., [9], [17], and [19]- [22]).…”

Section: Notationmentioning

confidence: 99%

“…Since Markov jump linear systems were firstly introduced in early 1960s (see, e.g., [16] and [25]), the hybrid systems driven by continuous-time Markov chains have been widely employed to model many practical systems where they may experience abrupt changes in system structure and parameters such as failure prone manufacturing, power systems, solar-powered systems and battle management in command, control and communication systems (see [1], [4], [14], [16], [21], and references therein). An area of particular interest has been the stability analysis of this class of hybrid systems and its applications to automatic control (see, e.g., [3], [8], and [16]).…”

Section: Introductionmentioning

confidence: 99%

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On Almost Sure Stability of Hybrid Stochastic Systems With Mode-Dependent Interval Delays

Huang

Mao

2010

IEEE Trans. Automat. Contr.

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The Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output. Abstract-This note develops a Razumikhin-type theorem on th moment input-to-state stability of hybrid stochastic retarded systems (also known as stochastic retarded systems with Markovian switching), which is an improvement of an existing result. An application to hybrid stochastic delay systems verifies the effectiveness of the improved result.

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Section: Notationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On Almost Sure Stability of Hybrid Stochastic Systems With Mode-Dependent Interval Delays

Huang

Mao

2010

IEEE Trans. Automat. Contr.

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“…Athans [2] suggested that such hybrid systems would also become a basic framework in posing and solving control-related problems in Battle Management Command, Control and Communications (BM/C 3 ) systems. Hybrid systems were also considered for modeling electric power systems (Willsky and Levy [17]), the control of a solar thermal central receiver (Sworder and Rogers [16]) and the modeling of subtilin production by Bacillus subtilis (Hu, Wu and Sastry [5]). In his book [12], Mariton discussed how such hybrid systems have also emerged as a convenient mathematical framework for the formulation of various design problems in target tracking, fault tolerant control and manufacturing processes.…”

Section: Introductionmentioning

confidence: 99%

Comparison theorem of one-dimensional stochastic hybrid delay systems

Yang

Mao

Chen

2008

Systems & Control Letters

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This version is available at https://strathprints.strath.ac.uk/13802/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the Strathprints administrator: strathprints@strath.ac.ukThe Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output. AbstractIn this paper, the comparison theorem of stochastic differential delay equations with Markovian switching has been investigated. In order to develop our theory, a new proof of existence and uniqueness of stochastic differential equations with Markovian switching is given.

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“…In MJSs, the random jumps in system parameters are represented by a Markov process taking values in a nite set. This class of systems may represent a large variety of processes including those in the aircraft flight control systems, manufacturing systems, communication systems, and economic systems, etc (Sowrder et al, 1983;Moerder et al, 1989;Boukas et al, 1995). Over the past decade, many important issues have been extensively studied for Markovian jump linear systems (MJLSs).…”

Section: Introductionmentioning

confidence: 99%

Robust adaptive sliding mode control for a class of uncertain hybrid linear systems with Markovian jump parameters

Stankovski

Jing

et al. 2008

IFAC Proceedings Volumes

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Abstract:The robust sliding mode control problem of a class of uncertain hybrid linear systems with Markovian jump parameters is considered. Under the assumption of unknown upper bounds matched system uncertainties, the sufficient conditions are proposed to guarantee exponentially stable in mean square of reduced-order sliding mode system. Under the conditions of unknown upper bounds of system uncertainties, adaptive robust sliding mode control law is proposed. The control methods guarantees that the trajectory of system arrives at the sliding surface in finite time interval and is kept here thereafter. It has been shown that the sliding mode control problem for the Markovian jump systems is solvable if a set of linear matrix inequalities(LMIs) have solution. Latsly a simulation is given to illustrate the effectiveness of the proposed approach.

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An LQ-solution to a control problem associated with a solar thermal central receiver

Cited by 254 publications

References 8 publications

On Almost Sure Stability of Hybrid Stochastic Systems With Mode-Dependent Interval Delays

On Almost Sure Stability of Hybrid Stochastic Systems With Mode-Dependent Interval Delays

Comparison theorem of one-dimensional stochastic hybrid delay systems

Robust adaptive sliding mode control for a class of uncertain hybrid linear systems with Markovian jump parameters

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