Reliable control of discrete-time linear systems with actuator failure

Abstract

A sufficient condition is given for robust stability of a discrete linear system in which an arbitrary portion of input channel is permanently attenuated or disconnected due to actuator fault. The partial disconnection/attenuation of the control input, is modelled as uncertainty and dealt with via a robust control method. The proposed method enables one to design a controller in such a way that the closed loop system remains stable when any combination of input signals is disconnected if the open loop system is stable and fulfils some additional properties. It is shown that the linear quadratic regulator can guarantee reliable closed loop with some specific choices for weighting matrices. The result is extended to unstable systems by assuming additional constraints on the failed actuators. Compared to previously established results, the proposed conditions are easier to verify and applicable to a wider class of systems. An example is also included.

KEYWORDS:

• Reliable control
• robust control
• linear matrix inequality
• actuator failure

Disclosure statement

No potential conflict of interest was reported by the author.

ORCID

Mohammad Mahdi Share Pasand http://orcid.org/0000-0002-6105-6687

Additional information

Notes on contributors

Mohammad Mahdi Share Pasand

M. M. Share Pasand was born in 1984. He received B.Sc., M.Sc. and PhD in Control Systems from Sharif University of technology, KN Toosi University of technology and Shahid Beheshti University, Tehran, Iran. He is a faculty member at Standard Research Institute of Iran. His research interests include networked control, linear system theory and estimation.