Robust Reliable Control for Uncertain Time-Delay Systems with IQC Performance

• Published in: Journal of optimization theory and applications Vol. 138; no. 2; pp. 235 - 251
• Main Authors: Lien, C. H., Yu, K. W.
• Format: Journal Article
• Language: English
• Published: Boston Springer US 01.08.2008; Springer; Springer Nature B.V
• Subjects: Actuators; Applications of Mathematics; Applied sciences; Calculus of Variations and Optimal Control; Optimization; Computer science; control theory; systems; Control system analysis; Control system synthesis; Control systems; Control theory. Systems; Criteria; Delay; Derivation; Design; Design engineering; Engineering; Exact sciences and technology; Mathematical functions; Mathematical models; Mathematics; Mathematics and Statistics; Matrix; Operations Research/Decision Theory; Optimization; Perturbation methods; Pneumatics; Sensors; Studies; System theory; Systems stability; Theory of Computation; Delay-dependent criterion; Robust reliable control; IQC performance; Linear matrix inequality approach; State feedback; Rupture; Feedback regulation; Control synthesis; Matrix inequality; Delay system; Delay dependent system; Failures; Integral Quadratic Constraint; Closed feedback; Robust control; Control constraint; Time dependence; Uncertain system; Experimental design; Integral control; Linear matrix inequality; Delay-dependent criterion .Linear matrix inequality approach; Robustness; Delay time; Monitoring control system; Delayed time
• ISSN: 0022-3239; 1573-2878
• DOI: 10.1007/s10957-008-9374-6

A robust reliable control with integral quadratic constraint (IQC) performance for a class of uncertain systems with state and input delays is considered in this paper. Two classes of failure situations for sensor or actuator are studied. In the first class, a delay-dependent criterion for time-delay systems without perturbations is proposed to design the reliable control with IQC performance. Next, a criterion for uncertain time-delay systems with parameter uncertainties is obtained via simple derivations. The linear matrix inequality (LMI) approach is used to design a robust reliable state feedback control with IQC performance. In the second class, a reliable control with IQC performance is also provided from he previous method. A numerical example is given to illustrate the effectiveness of the procedure.