Regional Stabilization for Discrete Time-Delay Systems With Actuator Saturations via A Delay-Dependent Polytopic Approach

• Published in: IEEE transactions on automatic control Vol. 64; no. 3; pp. 1257 - 1264
• Main Authors: Chen, Yonggang, Wang, Zidong, Fei, Shumin, Han, Qing-Long
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.03.2019; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuator saturation; Actuators; Analytical models; delay-dependent condition; Delays; Discrete time systems; discrete time-delay systems; Liapunov functions; Linear matrix inequalities; Lyapunov methods; Mathematical analysis; Matrix methods; polytopic approach; Regional analysis; regional stabilization; Stability analysis; Stabilization; Time delay systems
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2018.2847903

This paper is concerned with the regional stabilization problem for discrete time-delay systems with actuator saturations. Different from some existing delay-independent techniques handling the saturation nonlinearity, a delay-dependent polytopic approach is first proposed in a discrete-time framework. Then, by combining with an augmented Lyapunov function, a discrete Wirtinger-based inequality and some novel analysis techniques, improved delay-dependent regional stabilization conditions are established by means of linear matrix inequalities. Finally, it is shown via two numerical examples that the obtained results are less conservative than some existing ones yet providing a larger estimate of an initial condition set.