Delay-Dependent Finite-Time Stabilization of Uncertain Switched Time-Delay Systems with Norm-Bounded Disturbance

ABSTRACT

This article studies the finite-time stabilization problem for a class of switched time-delay systems with time-varying uncertainties and norm-bounded disturbance. The attention is focused on the cases that uncertainties are in the matrix of the state and in the matrix of the input. First, sufficient conditions for finite-time bounded of unforced switched systems are presented based on multiple Lyapunov-like functions and the average dwell time method. By virtue of the results of finite-time bounded, a state feedback controller is proposed which ensures finite-time stabilization of the closed-loop system. The controller gains are obtained by using the linearization method. The problem of uncertainty in switched systems with time-varying delay is investigated by using the Yakubovich lemma. A numerical example is used to show the effectiveness of the propounded method.

KEYWORDS:

• Average dwell time
• Finite-time stabilization
• Linearization method
• Multiple Lyapunov-like functions
• Switched system
• Time-varying uncertainty

Additional information

Notes on contributors

Elahe Moradi

Elahe Moradi received the BS degree in Electronic Engineering from K.N. Toosi University of Technology, Tehran, Iran in 2002 and the MS degree in Control Engineering from South Tehran Branch Islamic Azad University, Tehran, Iran in 2005. She is now PhD student in Control Engineering in Science and Research Branch, Islamic Azad University, Tehran, Iran. Her areas of interest include switched and hybrid systems, robust control and time-delay systems.

E-mail: [email protected]

Mohammad Reza Jahed-Motlagh

Mohammad Reza Jahed-Motlagh received the BSc degree in Electrical Engineering from the Sharif University of Technology, Tehran, Iran in 1978, and the MSc and PhD degrees in Control Engineering, both from the University of Bradford, Bradford, UK in 1986 and 1990. He is currently a Professor of Iran University of Science and Technology, Tehran, Iran. His areas of interest include complex systems, nonlinear systems, and artificial intelligence.

Corresponding author. E-mail: [email protected]

Mojtaba Barkhordari Yazdi

Mojtaba Barkhordari Yazdi received the BSc degree in Electrical Engineering from the K.N. Toosi University of Technology, Tehran, Iran in 2001, and the MSc and PhD degrees in Control Engineering both from the Iran University of Science and Technology, Tehran, Iran in 2003 and 2010, respectively. He is currently an Assistant Professor of Electrical Engineering at the Shahid Bahonar University of Kerman. His areas of interest include switched and hybrid systems, multiagent systems, nonlinear control and power system dynamics.

E-mail: [email protected]