New Observer-Based Controller Design for Delayed Systems Subject to Input Saturation and Disturbances

A new methodology to design an H ∞ observer-based controller for discrete-time delayed systems subject to input saturation and L 2 -norm disturbances is proposed, motivated by a benchmark problem. The stabilizing observer-based controller gains are obtained from an LMI formulation using a Lyapunov–K...

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Bibliographic Details
Published in:Iranian journal of science and technology. Transactions of electrical engineering Vol. 44; no. 3; pp. 1081 - 1092
Main Authors: El Fezazi, Nabil, Lamrabet, Ouarda, El Haoussi, Fatima, Tissir, El Houssaine
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.09.2020
Springer Nature B.V
Subjects:
Algorithms
Control systems design
Control theory
Controllers
Discrete time systems
Disturbances
Electrical Engineering
Engineering
H-infinity control
Initial conditions
Optimization
Research Paper
Saturation
Time delay systems
Bilinearity
Delayed systems
Input saturation
Observer-based controller
Quadruple tank process
Disturbances
ISSN:2228-6179, 2364-1827
Online Access:Get full text
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Summary:A new methodology to design an H ∞ observer-based controller for discrete-time delayed systems subject to input saturation and L 2 -norm disturbances is proposed, motivated by a benchmark problem. The stabilizing observer-based controller gains are obtained from an LMI formulation using a Lyapunov–Krasovskii functional, free weighting matrices, and an effective approach to overcome the obstacle of the bilinearity. To select the most adequate controller, an iterative optimization algorithm is developed to maximize the set of admissible initial conditions. The proposed results are illustrated by a practical application using the quadruple tank process to visualize different control theory notions and phenomena in laboratory conditions.
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ISSN:2228-6179
2364-1827
DOI:10.1007/s40998-019-00298-0