Research seminar "Recursive Approach to Solving Problems from Systems and Control"

Abstract

A recursive approach to solving problems arising from systems and control and other areas is presented. According to the proposed approach the problem under consideration is first transformed to seeking roots of some regression function. As can be shown, this can be done for a large class of problems from diverse areas. Then, a root-seeking algorithm called SAAWET together with its convergence theorem is presented, and SAAWET is applied to the problem under consideration. The final step is to prove convergence of the algorithm to the sought-for value, i.e., to prove the satisfaction of all conditions required for convergence of SAAWET. By such an approach a series of problems from systems and control and related areas have successfully been solved, but here we limit ourselves to demonstrate only two of them: identification of ARX systems and adaptive regulation of Hammerstein and Wiener systems. Simulation results are also provided which are consistent with the theoretical analysis.

Biobibliography of Prof. Han-Fu Chen:

Han-Fu Chen joined the Institute of Mathematics, Chinese Academy of Sciences (CAS) after his graduation from the Leningrad (St. Petersburg) State University, Russia. He now is a Professor of the Key Laboratory of Systems and Control of CAS. His research interests are mainly in stochastic systems, including system identification, adaptive control, and stochastic approximation and its applications to systems, control, and signal processing. He authored and coauthored more than 200 journal papers and 8 books. He is an IEEE Fellow, IFAC Fellow, a Member of TWAS, and a Member of the Chinese Academy of Sciences.