The Regulator Problem for Linear Systems With Saturations on the Control and its Increments or Rate: An LMI Approach

This paper solves the problem of designing stabilizing regulators for linear systems subject to control saturations and asymmetric constraints on its increment or rate, using reduced dimension linear matrix inequalities (LMIs) developed on a reduced-order state space. Compared with previous approach...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. 1, Fundamental theory and applications Fundamental theory and applications, 2006-12, Vol.53 (12), p.2681-2691
Main Authors: Benzaouia, A., Tadeo, F., Mesquine, F.
Format: Article
Language:English
Subjects:
Asymmetric constraints
Asymmetry
Asymptotic stability
Automatic control
Circuits
Computational efficiency
Computing time
control increment or rate
control saturation
Control systems
Linear matrix inequalities
linear matrix inequality (LMI) technique
Linear systems
Nonlinear control systems
Nonlinear equations
reduced-order system
Regulators
Saturation
State-space methods
Vectors
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Summary:This paper solves the problem of designing stabilizing regulators for linear systems subject to control saturations and asymmetric constraints on its increment or rate, using reduced dimension linear matrix inequalities (LMIs) developed on a reduced-order state space. Compared with previous approaches, the proposed technique is valid for asymmetric constraints on the increment or rate of the control while the computing time is improved by resolving LMIs of reduced dimensions
ISSN:1549-8328
1057-7122
1558-0806
DOI:10.1109/TCSI.2006.883163