Fuzzy Static Output Feedback Control for Discrete-time Nonlinear Time-varying Delay Systems in a Network Environment

Abstract

This paper studies the problem of fuzzy output control of discrete-time nonlinear systems with immeasurable state variables, time-varying delay, and data packet dropout. A T–S fuzzy model is used to represent the original nonlinear systems with time-varying delay, and the Bernoulli distribution is employed to describe the dropout process of the random packet. The two uncertainties of time delay and data packet dropout are considered in the system design. By constructing a fuzzy Lyapunov–Krasovskii functional and introducing a summation inequality based on Cauchy–Schwartz form, the existence condition of fuzzy static output feedback controller is established by using linear matrix inequalities (LMIs). The simulation example verifies the effectiveness of the proposed method.

KEYWORDS:

• Data packet dropout
• Static output feedback control
• T–S fuzzy system
• Time-varying delay

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant number 61703291] and Applied Basic Research Program of the Science and Technology Department of Sichuan Province, China [grant number 2016JY0085].

Notes on contributors

Songyi Dian

Songyi Dian received his bachelor' and MS degrees of control engineering from Sichuan University, China in 1996 and 2002, respectively. He received his PhD degree in nanomechanics engineering from Tohoku University, Japan in 2009. He is currently a professor in the College of Electrical Engineering and Information Technology, Sichuan University. His current research interests include advanced control methods and intelligent signal processing, power-electronics system and its control, motion control and robotic control. Email: [email protected], [email protected]

Guangyao Huo

Guangyao Huo received his BS degree from Inner Mongolia University of Science & Technology in 2015. Now he is pursuing the MS degree in control engineering from Sichuan University, China. His research interests include fuzzy control, intelligent control, computer vision and their applications. Email: [email protected]

Tao Zhao

Tao Zhao received his BS degree in mathematics and applied mathematics and PhD degree in systems engineering from Southwest Jiaotong University, Chengdu, China, in 2010 and 2015, respectively. He is currently an associate professor in the College of Electrical Engineering and Information Technology, Sichuan University. His current research interests include type-2 fuzzy set theory and system design, rough sets, and intelligent control. Corresponding author. Email: [email protected]

Chuanlong Li

Chuanlong Li received his BS degree from Sichuan University of Science & Engineering in 2016. Now he is pursuing the MS degree in control engineering from Sichuan University, China. His research interests include fuzzy control, evolution algorithm and their applications. Email: [email protected]