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Delay-dependent robust observer-based control for discrete-time uncertain singular systems with interval time-varying state delay

  • Control Theory
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Abstract

The problem of observer-based robust control design is studied for discrete-time singular systems with norm-bounded uncertainties and a time-varying delay. More precisely, a delay-dependent criterion is established that guarantees the admissibility of the considered systems, without resorting to its decomposition. Based on the proposed criterion and without the assumption that the considered systems are admissible, robust observer-based controllers are designed for discrete-time singular time-delay systems such that the closed-loop systems have the characteristics of regularity, causality and asymptotic stability. Seeking computational convenience, all the developed results are cast in the format of strict linear matrix inequalities (LMIs). Finally, some numerical examples are presented to show the feasibility of the proposed approach.

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Authors and Affiliations

  1. Laboratory of Sciences and Techniques of Automatic control & computer engineering (Lab-STA). National School of Engineering of Sfax, University of Sfax, Postal Box 1173, 3038, Sfax, Tunisia

    Mourad Kchaou, Mohamed Chaabane & Ahmed Toumi

  2. Departamento de Ingenieria de Sistemas y Automatica, Universidad de Valladolid, 47011, Valladolid, Spain

    Fernando Tadeo

Authors
  1. Mourad Kchaou
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  2. Fernando Tadeo
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  3. Mohamed Chaabane
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  4. Ahmed Toumi
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Corresponding author

Correspondence to Mourad Kchaou.

Additional information

Recommended by Associate Editor Guang-Hong Yang under the direction of Editor Hyungbo Shim.

Mourad Kchaou received his Mastery of Sciences from (ENSET/Tunisia) in 1993. In 2004, he obtained his Master degree and the Doctoral Thesis in 2009 in Automatic and Industrial Computing from Engineering National School of Sfax (ENIS). In 2013, he has obtained the University Habilitation (HDR) from (ENIS). He is now an Associate Professor in the Electronic Engineering department of High Institute of Applied Sciences and Technology of Sousse. His main research interests include fuzzy control, time-delay systems, descriptor systems, with particular attention paid to nonlinear systems represented by multiple-models.

Fernando Tadeo is a Professor of the School of Engineering at the University of Valladolid. He graduated from the same university, in Physics in 1992, and in Electronic Engineering in 1994. After completing an M.Sc. in Control Engineering in the University of Bradford, U.K., he went back to Valladolid, where he got his Ph.D. degree. His main interest area is Feedback Systems with Constraints, in particular Positive Systems, collaborating with teams in Morocco, Tunisia, France and Germany. This research is focused on applications in Process Control (Desalination and Electrolyzation Processes) and Renewable Energies (Wind, Solar and Salinity Gradient).

Mohamed Chaabane was born in Sfax, Tunisia, on August 26, 1961. He received the Ph.D. degree in Electrical Engineering from the University of Nancy, French in 1991. He was associate professor at the University of Nancy and is a researcher at Center of Automatic Control of Nancy (CRAN) from 1988–1992. Actually he is a professor in ENI-Sfax and editor in chief of the International Journal on Sciences and Techniques of Automatic Control and Computer Engineering IJSTA. Since 1997, he is holding a research position at Automatic Control Unit, ENIS. The main research interests are in the filed of robust control, delay systems, descriptor systems and applications of theses techniques to fed-batch processes and agriculture systems. Currently, he is an associate editor of International Journal on Sciences and Techniques of Automatic Control & Computer Engineering, IJ-STA (www.sta-tn.com).

Ahmed Toumi received his Electrical Engineering Diploma from the Engineering National School of Sfax/Tunisia (ENIS) and the DEA (Master) in Instrumentation and Measurement from University of Bordeaux-1/France in 1981. He obtained in 1985 and 2000, respectively, the Doctoral Thesis in Physical Sciences from the University of Tunis, and the University Habilitation (HDR) in Electrical Engineering (Automatic Control) from (ENIS). He is now a Professor on Automatic Control, and the Team Leader of Research in Control of Industrial Processes at ENIS. Since 2002, he was the co-President of the international conference on Sciences and Techniques of Automatic control and computer engineering (STA) which has taken place in a number of tourist cities of Tunisia. His main research area concerns Process modelling, Stability, Delay systems, Singular systems, Fuzzy logic control, Robust control.

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Kchaou, M., Tadeo, F., Chaabane, M. et al. Delay-dependent robust observer-based control for discrete-time uncertain singular systems with interval time-varying state delay. Int. J. Control Autom. Syst. 12, 12–22 (2014). https://doi.org/10.1007/s12555-012-9311-1

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  • DOI: https://doi.org/10.1007/s12555-012-9311-1

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