Combined Constrained Robust Least Squares Approach and Block-Pulse Functions Technique for Tracking Control Synthesis of Uncertain Bilinear Systems with Multiple Time-Delayed States under Bounded Input Control
Joint Authors
Iben Warrad, Bassem
Bouafoura, Mohamed Karim
Benhadj Braiek, Naceur
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-24
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
The present study tackles the tracking control problem for unstructured uncertain bilinear systems with multiple time-delayed states subject to control input constraints.
First, a new method is introduced to design memory state feedback controllers with compensator gain based on the use of operational properties of block-pulse functions basis.
The proposed technique permits transformation of the posed control problem into a constrained and robust optimization problem.
The constrained robust least squares approach is then used for determination of the control gains.
Second, new sufficient conditions are proposed for the practical stability analysis of the closed-loop system, where a domain of attraction is estimated.
A real-world example, the headbox control of a paper machine, demonstrates the efficiency of the proposed method.
American Psychological Association (APA)
Iben Warrad, Bassem& Bouafoura, Mohamed Karim& Benhadj Braiek, Naceur. 2020. Combined Constrained Robust Least Squares Approach and Block-Pulse Functions Technique for Tracking Control Synthesis of Uncertain Bilinear Systems with Multiple Time-Delayed States under Bounded Input Control. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-28.
https://search.emarefa.net/detail/BIM-1197746
Modern Language Association (MLA)
Iben Warrad, Bassem…[et al.]. Combined Constrained Robust Least Squares Approach and Block-Pulse Functions Technique for Tracking Control Synthesis of Uncertain Bilinear Systems with Multiple Time-Delayed States under Bounded Input Control. Mathematical Problems in Engineering No. 2020 (2020), pp.1-28.
https://search.emarefa.net/detail/BIM-1197746
American Medical Association (AMA)
Iben Warrad, Bassem& Bouafoura, Mohamed Karim& Benhadj Braiek, Naceur. Combined Constrained Robust Least Squares Approach and Block-Pulse Functions Technique for Tracking Control Synthesis of Uncertain Bilinear Systems with Multiple Time-Delayed States under Bounded Input Control. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-28.
https://search.emarefa.net/detail/BIM-1197746
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197746