Finite-time stabilisation of discrete networked cascade control systems under transmission delay and packet dropout via static output feedback control

ABSTRACT

Delay and packet dropout are two inherent sources of the performance degradation or instability in the networked control systems. This paper addresses the stochastic $H_{\mathrm{\infty }}$ finite time stability analysis of a class of discrete-time network-based cascade control systems against varying delay and random packet dropout modelled by the Bernoulli distributed sequence. Based on the Finsler lemma, sufficient conditions are derived to stabilise such systems by designing static output feedback controller with the help of linear matrix inequalities (LMIs). This LMI-based conditions are provided to ensure the stochastic finite-time stability with a given $H_{\mathrm{\infty }}$ disturbance attenuation level. Efficiency of the proposed controller is verified by numerical examples.

KEYWORDS:

• Network-based cascade control system
• finite-time control
• varying delay
• random packet dropout
• linear matrix inequality
• static output feedback control
• Finsler lemma

ORCID

Arezou Elahi http://orcid.org/0000-0002-0658-6087

Alireza Alfi http://orcid.org/0000-0002-7034-0735

Additional information

Notes on contributors

Arezou Elahi

Arezou Elahi received the BS degree from Ferdowsi University of Mashahd, Mashahd, Iran in 2011, the MS degree from Isfahan University of Technology, Isfahan, Iran in 2013, and the PhD degree from Shahrood University of Technology, Shahrood, Iran in 2018, all in electrical engineering. Her research interests include the networked control systems, distributed control, time delay systems and switching systems.

Alireza Alfi

Alireza Alfi received the BS degree from Ferdowsi University of Mashhad, Mashhad, Iran, in 2000, and the MS and PhD degrees from Iran University of Technology, Tehran, Iran in 2002 and 2007, all in electrical engineering. He joined Shahrood University of Technology, Shahrood, Iran in 2008, where he is currently a Professor of Electrical Engineering. His research interests include control theory, time delay systems, fractional order control and optimisation.