An Impulsive Approach to State Estimation for Multirate Singularly Perturbed Complex Networks Under Bit Rate Constraints

• Published in: IEEE transactions on cybernetics Vol. 55; no. 3; pp. 1197 - 1209
• Main Authors: Guo, Yuru, Wang, Zidong, Li, Jun-Yi, Xu, Yong
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.03.2025
• Subjects: Bit rate; Bit rate allocation; Complex networks; constrained bit rate; Dynamic scheduling; Estimation; Frequency measurement; Heuristic algorithms; impulsive estimation; multirate complex networks; Power system dynamics; Resource management; singularly perturbed systems; State estimation; Symbols
• ISSN: 2168-2267; 2168-2275; 2168-2275
• DOI: 10.1109/TCYB.2024.3524515

In this article, the problem of ultimately bounded state estimation is investigated for discrete-time multirate singularly perturbed complex networks under the bit rate constraints, where the sensor sampling period is allowed to differ from the updating period of the networks. The facilitation of communication between sensors and the remote estimator through wireless networks, which are subject to bit rate constraints, involves the use of a coding-decoding mechanism. For efficient estimation in the presence of periodic measurements, a specialized impulsive estimation method is developed, which aims to carry out impulsive corrections precisely at the instants when the measurement signal is received by the estimator. By employing the iteration analysis method under the impulsive mechanism, a sufficient condition is established that ensures the exponential boundedness of the estimation error dynamics. Furthermore, an optimization algorithm is introduced for addressing the challenges related to bit rate allocation and the design of desired estimator gains. Within the presented theoretical framework, the correlation between estimation performance and bit rate allocation is elucidated. Finally, a simulation example is provided to demonstrate the validity of the proposed estimation approach.