Practical State Estimation With Event-Triggered Sliding Mode Observer

• Published in: IEEE transactions on automatic control Vol. 69; no. 4; pp. 1 - 8
• Main Authors: Mondal, Saikat, Behera, Abhisek K.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.04.2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuators; Eigenvalues and eigenfunctions; Event-based estimation; Observability (systems); Observers; practical state es-timation; Real-time systems; robust sliding mode observer; Sensors; State estimation; State observers; Steady-state; Uncertainty
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2023.3310665

This paper deals with the practical state estimation for an uncertain dynamical system under feedback constraints. We propose an event-triggered sliding mode observer to estimate the states in the practical sense, i.e., arbitrary steady-state bound can be achieved for the estimation error irrespective of the disturbance signal. A new sliding mode observer is proposed with the discon-tinuous output error injection vector of the same order as that of the disturbance vector; therefore the observer can be represented by an interconnection of continuous and discontinuous dynamics. Two scenarios are considered for implementing this observer in the event-triggering framework viz., the actuator side implementa-tion and the sensor side implementation, in which the observer is run at the actuator and sensor sides, respectively. However, the event-triggering mechanism in both cases is placed in the sensor end to regulate the transmission of output/estimated values. It is shown under the observability assumption that the event-triggered observer estimates the states practically with intermittent commu-nication and disturbance input. Finally, we take a practical example to illustrate the state estimation using the proposed sliding mode observer.