Robust normalization and guaranteed cost control for a class of uncertain descriptor systems

• Published in: Automatica (Oxford) Vol. 48; no. 8; pp. 1693 - 1697
• Main Authors: Ren, Junchao, Zhang, Qingling
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.08.2012; Elsevier
• Subjects: Applied sciences; Computer science; control theory; systems; Control system analysis; Control system synthesis; Control systems; Control theory. Systems; Derivatives; Descriptor systems; Design engineering; Exact sciences and technology; Guaranteed cost control; Linear matrix inequality method; Mathematical analysis; Matrices; Modelling and identification; Proportional plus derivative state feedback; Singular systems; State derivative feedback; State feedback; Uncertainty; Guaranteed cost control; Descriptor systems; State derivative feedback; Singular systems; Proportional plus derivative state feedback; Closed loop; State feedback; Descriptor system; Singular system; Feedback regulation; Control synthesis; PD control; Closed feedback; Time varying system; Upper bound; Uncertain system; Derivative; Linear matrix inequality; Cost function; Derivative control
• ISSN: 0005-1098; 1873-2836
• DOI: 10.1016/j.automatica.2012.05.038

This paper investigates the problem of robust normalization and guaranteed cost control for descriptor systems with uncertainties. The parameter uncertainties are assumed to be time-varying norm-bounded appearing not only in both the state and input matrices but also in the derivative matrix. The quadratic performance index is nonstandard, which includes the additional derivative state term. Attention is focused on the proportional plus derivative state feedback controller design based on the linear matrix inequality method, which guarantees the closed-loop system to be normal and quadratically stable with a prescribed upper bound of the cost function.