Combined parameter and output estimation of dual-rate systems using an auxiliary model

By Feng Ding, Tongwen Chen. at - Automatisierungstechnik, 2004

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Ltd Registered in England and Wales Registered Number : 1072954 Registered office : (2004, background): “Therefore multirate systems (Vaidyanathan 1993; Chen and Francis 1995), also known as multi-rate sampled-data systems, arise frequently; recent work includes dual-rate system identification (Lu and Fisher 1988; Ding and Chen 2004; Shi, Ding, and Chen 2006), multi-rate control (Qiu and Chen 1999; Li,”
Performance analysis of multi-innovation gradient type identification methods (2007, methodology): “In this appendix we shall prove the main results of this paper by formulating a martingale process and using stochastic process theory and the martingale convergence theorem ( Ding & Chen, 2004, 2005b –e).”
Gradient-Based Identification Methods for Hammerstein Nonlinear ARMAX Models (2006, methodology): “Like in [20–22], the following is to prove this theorem by using the martingale convergence theorem.”
Least‐squares parameter estimation for systems with irregularly missing data (2009, methodology): “P−1 0 (ts) :=P−1 0 (ts−1)+u0(ts)u0 (ts), P0(0)= p0I r(ts) := tr[P−1(ts)]; r0(ts) := tr[P−1 0 (ts)] Referring to [17], we easily get |P−1(ts)| r(ts), r(ts) n max[P−1(ts)] (12)”