Simultaneous actuator and sensor faults estimation for Lipschitz Markovian jump systems with partly unknown transition rates. Issue 1 (2nd January 2019)

• Record Type: Journal Article
• Authors: Zhu, Saijun; Li, Xiaohang; Lu, Dunke
• Is Part Of: Cyber-physical systems. Volume 5:Issue 1(2019)
• Page Start: 18
• Page End: 40
• Publication Date: 2019-01-02
• Subjects: Fault estimation -- Lipschitz nonlinearity -- Markvian jump systems -- Partly unknown transition rates -- Sliding-mode observer; Cooperating objects (Computer systems) -- Periodicals; Internet of things -- Periodicals; 006.22
• DOI: 10.1080/23335777.2018.1540019
• Languages: English
• ISSNs: 2333-5777

Abstract

ABSTRACT: The present paper is devoted to solving the problems on simultaneous actuator and sensor faults estimation for a class of Lipschitz Markovian jump systems with partly unknown transition rates. First, the original system is converted into a descriptor system, by taking the actuator fault and sensor fault as parts of the new state. Then, an adaptive sliding-mode observer, being robust to disturbance, is developed for the transformed system to simultaneously estimate the states, actuator fault and sensor fault. The designed adaptive laws are brought to settle the Lipschitz nonlinearity with unknown constant. The sufficient conditions of the existence of the designed robust observer are proposed in terms of linear matrix inequalities. Finally, some practical examples are given to illustrate the validation and effectiveness of the theoretical results.