Canonical forms for positive discrete-time linear control systems
نویسندگان
چکیده
منابع مشابه
Optimal Finite-time Control of Positive Linear Discrete-time Systems
This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...
متن کاملCanonical forms for positive discrete-time linear control systemsø
In this paper, the properties of reachability, controllability and essential reachability of positive discrete-time linear control systems are studied. These properties are characterized in terms of the directed graph of the state matrix. From these characterizations canonical forms of those properties are deduced. © 2000 Published by Elsevier Science Inc. All rights reserved.
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The reachability and controllability properties of positive periodic discrete-time linear systems are studied. Using the directed graph of the state matrices and the concepts of colored vertices and colored union of directed graphs, a characterization of these properties is established and hence, canonical forms are deduced. 2003 Elsevier Inc. All rights reserved.
متن کاملOptimal Finite-time Control of Positive Linear Discrete-time Systems
ARTICLE HISTORY: Received 22 January 2017 Revised 03 March 2017 Accepted 04 April 2017 This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller i...
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A robust state feedback design subject to placement of the closed loop eigenvalues in a prescribed region of unit circle is presented. Quantitative measures of robustness and disturbance rejection are investigated. A stochastic optimization algorithm is used to effect trade-off between the free design parameters and to accomplish all the design criteria. A numerical example is given to illustra...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2000
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(00)00044-6