Observer-based backstepping control for nonlinear cyber-physical systems with incomplete measurements

Abstract

This paper investigates the problem of observer-based control for cyber-physical systems (CPSs) with incomplete measurements. The CPSs are described as a class of nonlinear strict-feedback systems. When data transmission problems, such as information packet losing or transmission medium saturation, occur, the state variables become unavailable or distorted. To solve these problems, two-state estimators are constructed for different transmission cases, based on which two backstepping controllers are designed. The stability conditions of the state estimators and closed-loop system are derived by solving a linear matrix inequality (LMI). It is proved that the control methods can guarantee that all the signals of the closed-loop system are uniformly ultimately bounded (UUB) in mean square. The effectiveness of the proposed methods is confirmed by a simulation example.

Keywords:

• Cyber-physical system
• nonlinear system
• stability analysis
• incomplete measurement

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) [grant number RGPIN-2017-05367] and the Fund of the Scientific Research Project of Liaoning Provincial Department of Education [grant number 2019LNJC02].