Reliable guaranteed-cost control for networked systems with randomly occurring actuator failures and fading performance output

Abstract

This paper is concerned with the reliable guaranteed-cost control problem for a class of time-varying networked systems with randomly occurring actuator failures and fading performance output. The randomly occurring actuator failure, which describes the phenomenon of the actuator failure appearing in a random way, is modelled by a Bernoulli distributed white sequence with a known conditional probability. The fading performance output is characterized by a random variable obeying any discrete-time probability distribution over a known interval. The main purpose is to design a reliable controller over a given finite horizon such that, an optimized upper bound of the predefined quadratic performance index is guaranteed for the addressed systems in the presence of both the randomly occurring actuator failures and the fading performance output. It is shown that the desired controller gain can be obtained in terms of the solution to a Riccati-like difference equation. A numerical example is provided to illustrate the feasibility and effectiveness of the proposed control scheme.

Keywords:

• time-varying systems
• guaranteed-cost control
• reliable control
• randomly occurring actuator failures
• fading performance output

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China [grant number 11301118], [grant number 61174136], the China Postdoctoral Science Foundation [grant number 2014M560376], the Natural Science Foundation of Jiangsu Province of China [grant number BK20130017], the “333 Project” Foundation of Jiangsu Province and the Alexander von Humboldt Foundation of Germany.