OUTPUT CONTROLLABILITY AND OPTIMAL OUTPUT CONTROL OF POSITIVE FRACTIONAL ORDER LINEAR DISCRETE SYSTEM WITH MULTIPLE DELAYS IN STATE, INPUT AND OUTPUT

被引：2

作者：

Naim, Mouhcine ^{[1
]}

Lahmidi, Fouad ^{[1
]}

Namir, Abdelwahed ^{[2
]}

机构：

[1] Hassan II Univ, Fac Sci Ben Msik, Lab Anal Modeling & Simulat, POB 7955, Casablanca, Morocco

[2] Hassan II Univ, Fac Sci Ben Msik, Lab Informat Technol & Modeling, POB 7955, Casablanca, Morocco

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 06期

关键词：

Fractional order; positive linear systems; output reachability; null output controllability; output controllability; optimal output control; MINIMUM ENERGY CONTROL; TIME-SYSTEMS;

D O I：

10.11948/20180289

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The article concerns output controllability and optimal output control of positive fractional order discrete linear systems with multiple delays in state, input and output. Necessary and sufficient conditions for output reachability (output controllability from zero initial conditions) and null output controllability (output controllability to zero final output) are given and proven. We also prove that the positive system is output controllable if it is output reachable and null output controllable with the output reachability index is equal or less than the null output controllability index. Sufficient conditions for the solvability of the optimal output control problem are given. Numerical examples are presented to illustrate the theoretical results.

引用

页码：2169 / 2189

页数：21

共 50 条

[21] CONTROL OF LINEAR MULTIPLE INPUT-OUTPUT SYSTEMS
GOPINATH, B
BELL SYSTEM TECHNICAL JOURNAL, 1971, 50 (03): : 1063 - +
[22] Output feedback stabilization of linear systems with infinite distributed input and output delays
Zhou, Qianghui
Xu, Xiang
Liu, Lu
Feng, Gang
INFORMATION SCIENCES, 2021, 576 : 54 - 67
[23] Output Feedback Control of Linear Systems with Input and Output Quantization
Coutinho, Daniel
Fu, Minyue
de Souza, Carlos E.
47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 4706 - 4711
[24] Implementation of delayed output feedback for linear systems with multiple input delays
Xu, Chuanchuan
Zhou, Bin
IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (12): : 2028 - 2035
[25] Partial state estimation for linear systems with output and input time delays
Ha, Q. P.
That, Nguyen D.
Nam, Phan T.
Trinh, H.
ISA TRANSACTIONS, 2014, 53 (02) : 327 - 334
[26] Regular linear systems governed by systems with state, input and output delays
Hadd, Said
Idrissi, Abdelali
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2005, 22 (04) : 423 - 439
[27] Adaptive Regulation Problem for Linear Systems with State, Input and Output Delays
Paramonov, Aleksei, V
Gerasimov, Dmitry N.
Nikiforov, Vladimir O.
2021 EUROPEAN CONTROL CONFERENCE (ECC), 2021, : 2169 - 2174
[28] PATH CONTROLLABILITY OF LINEAR INPUT-OUTPUT SYSTEMS
ALBRECHT, F
GRASSE, KA
WAX, N
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (06) : 569 - 571
[29] Output Feedback CNF Control for Output Regulation Problem of Linear System with Input Saturation
Lin, Xiaoyan
Lan, Weiyao
2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 5159 - 5164
[30] Optimal output tracking control for discrete-time systems with delayed state and input
Zhang J.
Su H.
Wang L.-K.
Tang G.-Y.
Kongzhi yu Juece/Control and Decision, 2017, 32 (01): : 157 - 162

← 1 2 3 4 5 →