Minimum Energy Control of Fractional Discrete-Time Linear Systems with Delays in State and Control

被引：6

作者：

Kociszewski, Rafal ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, Bialystok, Poland

来源：

RECENT ADVANCES IN AUTOMATION, ROBOTICS AND MEASURING TECHNIQUES | 2014年 / 267卷

关键词：

fractional; linear systems; discrete-time; time-delay; minimum energy control; CONTROLLABILITY;

D O I：

10.1007/978-3-319-05353-0_13

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In the paper the problem of minimum energy control of fractional discrete-time linear system with multiple delays in state and control are addressed. General form of solution of the state equation of the system is given and conditions for reachability and minimum energy control are established. The considerations are illustrated by numerical example.

引用

页码：127 / 136

页数：10

共 50 条

[21] Control of fractional periodic discrete-time linear systems by parametric state feedback matrices
J. Esmaeili
H. A. Tehrani
M. M. Fateh
[J]. Nonlinear Dynamics, 2017, 87 : 1413 - 1425
[22] An extension of Klamka's method of minimum energy control to fractional positive discrete-time linear systems with bounded inputs
Kaczorek, T.
[J]. BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2014, 62 (02) : 227 - 231
[23] MINIMUM ENERGY CONTROL OF DISCRETE-SYSTEMS WITH DELAYS IN CONTROL
KLAMKA, J
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1977, 26 (05) : 737 - 744
[24] Constrained minimum variance control for discrete-time stochastic linear systems
Bakolas, E.
[J]. SYSTEMS & CONTROL LETTERS, 2018, 113 : 109 - 116
[25] Discrete-Time State Feedback Control Design for Linear Systems
Krokavec, D.
Filasova, A.
[J]. PROCEEDINGS OF THE 2015 20TH INTERNATIONAL CONFERENCE ON PROCESS CONTROL (PC), 2015, : 7 - 12
[26] Backstepping control for fractional discrete-time systems
Yao, Yu
Wu, Li-Bing
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2022, 434
[27] Minimum Energy Control of Linear Fractional Systems
Klamka, Jerzy
[J]. THEORETICAL DEVELOPMENTS AND APPLICATIONS OF NON-INTEGER ORDER SYSTEMS, 2016, 357 : 197 - 206
[28] Minimum Energy Control of Fractional Linear Systems
Jerzy, Klamka
[J]. 2018 23RD INTERNATIONAL CONFERENCE ON METHODS & MODELS IN AUTOMATION & ROBOTICS (MMAR), 2018, : 25 - 28
[29] Containment control of linear discrete-time fractional-order multi-agent systems with time-delays
Shahamatkhah, Erfan
Tabatabaei, Mohammad
[J]. NEUROCOMPUTING, 2020, 385 : 42 - 47
[30] Model Predictive Control for Discrete-Time Linear Systems with Time Delays and Unknown Input
Kiseleva, Marina
Smagin, Valery
[J]. INFORMATION TECHNOLOGIES AND MATHEMATICAL MODELLING, 2014, 487 : 181 - 188

← 1 2 3 4 5 →