Turkish Journal of Electrical Engineering and Computer Sciences
Abstract
This paper presents a new approach to design an adaptive filter using Lyapunov stability theory. The design procedure is formulated as an inequality constrained optimization problem. Lagrange multiplier theory is used as an optimization tool. Lyapunov stability theory is integrated into the constraint function to satisfy the asymptotic stability of the proposed filtering system. The tracking capability is improved by using a new analytical adaptation gain rate, which has the ability to adaptively adjust itself depending on a sequential tracking square error rate. The fast and robust convergence ability of the proposed algorithm is comparatively examined by simulation examples.
DOI
10.3906/elk-1212-29
Keywords
Adaptive filtering, Lyapunov stability theory, Lagrange multiplier theory, error convergence
First Page
719
Last Page
728
Recommended Citation
MENGÜÇ, E. C, & ACIR, N (2015). A novel adaptive filter design using Lyapunov stability theory. Turkish Journal of Electrical Engineering and Computer Sciences 23 (3): 719-728. https://doi.org/10.3906/elk-1212-29
Included in
Computer Engineering Commons, Computer Sciences Commons, Electrical and Computer Engineering Commons
