Global Dynamic Event-Triggered Control For Nonlinear Systems With Sensor and Actuator Faults: A Matrix Pencil Based Approach

• Published in: IEEE transactions on automatic control Vol. 69; no. 3; pp. 1 - 8
• Main Authors: Ye, Hefu, Song, Yongduan, Zhang, Zhirong, Wen, Changyun
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.03.2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Actuators; Algorithms; Closed loop systems; Control algorithms; Control systems; Damping; Design parameters; dynamic feedback; Eigenvalues; Event triggered control; matrix pencils; Noise measurement; Nonlinear control; Nonlinear dynamical systems; Nonlinear systems; Output feedback; Robustness (mathematics); sensor and actuator faults; Stability analysis; Transient analysis; Uncertainty
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2023.3313634

It is practically interesting to achieve global event-triggered control for mismatched uncertain nonlinear systems subject to sensor and actuator faults. In this work we present a low-conservative solution and consider the output-feedback scenario. The design and analysis innovations include: 1) by using a scaling transformation with its gain being online tuned dynamically, we convert the original system with constant coefficients into one with dynamic coefficients, allowing for casting the design procedure within several matrix pencil structures; 2) to deal with discontinuous yet time-varying perturbations arising from the corrupted feedback signals, we insert static damping terms into matrix pencils to ensure that the resulting algorithm is sufficiently robust; and 3) to save communication resources more efficiently as well as to enlarge execution intervals between each information transmission, double-side dynamic event-triggering mechanisms are proposed, where the triggering thresholds are designed as monotonically non-increasing functions. The resultant control scheme is essentially of linear feedback form without involving any recursiveness, rendering it structurally simple and computational low-complex. In addition, the design parameters consist of the maximum/minimum generalized eigenvalues of the matrix pencils formulated to capture the detailed structure of the uncertainty terms, which, consequently leads to control algorithms with low-conservativeness and sufficient robustness to mismatched uncertainties and corrupted outputs/inputs. Numerical simulations verify the effectiveness of the proposed method.