Journal
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
Volume 34, Issue 11, Pages 8337-8348Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2022.3149540
Keywords
Bit rate; State estimation; Artificial neural networks; Sensors; Estimation; Resource management; Ellipsoids; Bit rate constraints; encoding-decoding mechanism (EDM); neural networks (NNs); nonlinear systems; set-membership state estimation
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This article investigates the adaptive neural network-based set-membership state estimation problem for a class of nonlinear systems subject to bit rate constraints and unknown-but-bounded noises. A bit rate allocation mechanism is proposed to relieve the communication burden and improve state estimation accuracy. An NN-based set-membership estimator is designed using the NN learning method, relying upon a prediction-correction structure. The existence of adaptive tuning parameters and set-membership estimators is ensured, and the convergence of NN weights is analyzed.
In this article, the adaptive neural-network-based (NN-based) set-membership state estimation problem is studied for a class of nonlinear systems subject to bit rate constraints and unknown-but-bounded noises. The measurement output signals are transmitted from sensors to a remote estimator via a bit rate constrained communication channel. To relieve the communication burden and ameliorate the state estimation accuracy, a bit rate allocation mechanism is put forward for the sensor nodes by solving a constrained optimization problem. Subsequently, through the NN learning method, an NN-based set-membership estimator is designed to determine an ellipsoidal set that contains the system state, where the proposed estimator relies upon a prediction-correction structure. With the help of the mathematical induction technique and the set theory, sufficient conditions are obtained to ensure the existence of both the adaptive tuning parameters and the set-membership estimators, and then, the corresponding parameters and estimator gains are calculated by solving a set of optimization problems. In addition, the monotonicity of the upper bound on the squared estimation error with respect to the bit rate and the convergence of the NN weight are analyzed, respectively. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed state estimation algorithm.
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