Stabilization of positive descriptor fractional discrete-time linear system with two different fractional orders by decentralized controller

被引：25

作者：

Sajewski, L. ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, 45D Wiejska St, PL-15351 Bialystok, Poland

来源：

BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES | 2017年 / 65卷 / 05期

关键词：

positive; fractional; different order; noncomensurate; descriptor; stabilization; decentralized controller; STABILITY;

D O I：

10.1515/bpasts-2017-0076

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Positive descriptor fractional discrete-time linear systems with fractional different orders are addressed in the paper. The decomposition of the regular pencil is used to extend necessary and sufficient conditions for positivity of the descriptor fractional discrete-time linear system with different fractional orders. A method for finding the decentralized controller for the class of positive systems is proposed and its effectiveness is demonstrated on a numerical example.

引用

页码：709 / 714

页数：6

共 50 条

[31] STABILITY OF THE CONVEX LINEAR COMBINATION OF FRACTIONAL POSITIVE DISCRETE-TIME LINEAR SYSTEMS
Kaczorek, Tadeusz
24TH EUROPEAN MODELING AND SIMULATION SYMPOSIUM (EMSS 2012), 2012, : 1 - 5
[32] Global stability of discrete-time nonlinear systems with descriptor standard and fractional positive linear parts and scalar feedbacks
Kaczorek, T.
Ruszewski, A.
ARCHIVES OF CONTROL SCIENCES, 2020, 30 (04): : 667 - 681
[33] APPROXIMATION OF FRACTIONAL POSITIVE STABLE CONTINUOUS-TIME LINEAR SYSTEMS BY FRACTIONAL POSITIVE STABLE DISCRETE-TIME SYSTEMS
Kaczorek, Tadeusz
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2013, 23 (03) : 501 - 506
[34] Positive Stable Minimal Realization of Fractional Discrete-Time Linear Systems
Sajewski, Lukasz
ADVANCES IN THE THEORY AND APPLICATIONS OF NON-INTEGER ORDER SYSTEMS, 2013, 257 : 15 - 27
[35] Robust stability of positive discrete-time linear systems of fractional order
Buslowicz, M.
BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2010, 58 (04) : 567 - 572
[36] Matrix inverse eigenvalue problem for stabilization of fractional descriptor discrete-time linear systems by forward and propositional output feedback
Mirassadi, Sakineh Bigom
Tehrani, Hojjat Ahsani
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2020, 8 (04): : 745 - 761
[37] Positive solutions of a discrete-time descriptor system
Canto, Begona
Coll, Carmen
Sanchez, Elena
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2008, 39 (01) : 81 - 88
[38] Reachability, observability and minimum energy control of fractional positive continuous-time linear systems with two different fractional orders
Łukasz Sajewski
Multidimensional Systems and Signal Processing, 2016, 27 : 27 - 41
[39] POINTWISE COMPLETENESS AND POINTWISE DEGENERACY OF FRACTIONAL STANDARD AND DESCRIPTOR LINEAR CONTINUOUS-TIME SYSTEMS WITH DIFFERENT FRACTIONAL ORDERS
Kaczorek, Tadeusz
Sajewski, Lukasz
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2020, 30 (04) : 641 - 647
[40] Reachability, observability and minimum energy control of fractional positive continuous-time linear systems with two different fractional orders
Sajewski, Lukasz
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2016, 27 (01) : 27 - 41

← 1 2 3 4 5 →