Quadratic Control of Linear Discrete-time Positive Systems

被引：0

作者：

Krokavec, Dusan ^{[1
]}

Filasova, Anna ^{[1
]}

机构：

[1] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Cybernet & Artificial Intelligence, Letna 9-B, Kosice 04200, Slovakia

来源：

2018 EUROPEAN CONTROL CONFERENCE (ECC) | 2018年

关键词：

STABILITY;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The linear matrix inequalities approach is proposed to discrete-time linear positive system control design, mounting linear quadratic constraints into design conditions. Coupling together the set of linear matrix inequalities warranting the system positive structure, and the additional inequality guaranteing asymptotic stability of the controlled system, the design conditions are outlined to construct the positive closed-loop scheme with a state-feedback positive control law gain. Some related properties are deduced to come towards a solution for forced-mode control policy in discrete-time linear positive system using the static decoupling principle. The proposed approaches are numerically illustrated.

引用

页码：2879 / 2884

页数：6

共 22 条

[1]

[Anonymous], 2008, Nonlinear dynamical systems and control: A Lyapunov-based approach

[2]

[Anonymous], 2000, PUR AP M-WI

[3] Design of positive linear observers for positive linear systems via coordinate transformations and positive realizations [J].

Back, Juhoon ;

Astolfi, Alessandro .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (01) :345-373

[4]

Birkhoff Garrett., 1977, SURVEY MODERN ALGEBR, Vfourth

[5]

Bryson A.E., 2002, APPL LINEAR OPTIMAL

[6]

Cacace F., 2016, LECT NOTES CONTROL I, V471

[7] Strictly totally positive systems [J].

Carnicer, JM ;

Pena, JM ;

Zalik, RA .

JOURNAL OF APPROXIMATION THEORY, 1998, 92 (03) :411-441

[8] Stabilization of positive linear systems [J].

De Leenheer, P ;

Aeyels, D .

SYSTEMS & CONTROL LETTERS, 2001, 44 (04) :259-271

[9] Control for stability and positivity: Equivalent conditions and computation [J].

Gao, HJ ;

Lam, J ;

Wang, CH ;

Xu, SY .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (09) :540-544

[10]

Kaczorek T., 2014, REALIZATION PROBLEM

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