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

• Published in: IEEE transactions on circuits and systems. I, Regular papers Vol. 53; no. 12; pp. 2681 - 2691
• Main Authors: Benzaouia, A., Tadeo, F., Mesquine, F.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.12.2006; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• 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
• ISSN: 1549-8328; 1558-0806
• DOI: 10.1109/TCSI.2006.883163

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