The purpose of this volume is to provide a brief review of the previous work on model reduction and identifi cation of distributed parameter systems (DPS), and develop new spatio-temporal models and their relevant identifi cation approaches.
In this book, a systematic overview and classifi cation on the modeling of DPS is presented fi rst, which includes model reduction, parameter estimation and system identifi cation. Next, a class of block-oriented nonlinear systems in traditional lumped parameter systems (LPS) is extended to DPS, which results in the spatio-temporal Wiener and Hammerstein systems and their identifi cation methods. Then, the traditional Volterra model is extended to DPS, which results in the spatio-temporal Volterra model and its identification algorithm. All these methods are based on linear time/space separation. Sometimes, the nonlinear time/space separation can play a better role in modeling of very complex processes.
Thus, a nonlinear time/space separation based neural modeling is also presented for a class of DPS with more complicated dynamics. Finally, all these modeling approaches are successfully applied to industrial thermal processes, including a catalytic rod, a packed-bed reactor and a snap curing oven. The work is presented giving a unifi ed view from time/space separation. The book also illustrates applications to thermal processes in the electronics packaging and chemical industry. This volume assumes a basic knowledge about distributed parameter systems, system modeling and identifi cation. It is intended for researchers, graduate students and engineers interested in distributed parameter systems, nonlinear systems, and process modeling and control.
Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems
International Series on INTELLIGENT SYSTEMS, CONTROL, AND AUTOMATION: SCIENCE AND ENGINEERING VOLUME 50 Editor: Professor S.G. Tzafestas, National Technical University of Athens, Athens, Greece
Editorial Advisory Board Professor P. Antsaklis, University of Notre Dame, Notre Dame, IN, USA Professor P. Borne, Ecole Centrale de Lille, Lille, France Professor D.G. Caldwell, University of Salford, Salford, UK Professor C.S. Chen, University of Akron, Akron, Ohio, USA Professor T. Fukuda, Nagoya University, Nagoya, Japan Professor S. Monaco, University La Sapienza, Rome, Italy Professor G. Schmidt, Technical University of Munich, Munich, Germany Professor S.G. Tzafestas, National Technical University of Athens, Athens, Greece Professor F. Harashima, University of Tokyo, Tokyo, Japan Professor N.K. Sinha, McMaster University, Hamilton, Ontario, Canada Professor D. Tabak, George Mason University, Fairfax, Virginia, USA Professor K. Valavanis, University of Denver, Denver, USA
For other titles published in this series, go to www.springer.com/series/6259
Han-Xiong Li • Chenkun Qi
Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems A Time/Space Separation Based Approach
ABC
Han-Xiong Li City University of Hong Kong Dept of Manufacturing Engineering and Engineering Management Hong Kong China, People’s Republic
Chenkun Qi Shanghai Jiao Tong University School of Mechanical Engineering Shanghai China, People’s Republic E-mail:
[email protected]
and Central South University School of Mechanical and Electrical Engineering Changsha China, People’s Republic E-mail:
[email protected]
ISBN 978-94-007-0740-5 e-ISBN 978-94-007-0741-2 DOI 10.1007/978-94-007-0741-2 Springer Dordrecht Heidelberg