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SIMULATION
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A Hybrid Symbolic-Numerical Simulation Method for Some Typical Boundary Control Problems

Jinsong Liang

Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical and Computer Engineering, 4160 Old Main Hill, Utah State University, Logan, UT 84322-4160

YangQuan Chen

Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical and Computer Engineering, 4160 Old Main Hill, Utah State University, Logan, UT 84322-4160, yqchen{at}ece.usu.edu

Bao-Zhu Guo

Institute of Systems Sciences, Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, People’s Republic of China

Although boundary control of linear partial differential equations has become an important research area, there is still no readily available simulation tool to help researchers analyze and design. In this article, a simulation method for some typical boundary control problems, combining symbolic math and a numerical method, is presented with application examples. In the intermediate steps of the simulation, an important by-product, transfer function of the controlled system, can be obtained, which makes the design of more advanced boundary controllers possible and much easier.

Key Words: Simulation • symbolic • numeric • boundary control • beam equation • numerical inverse Laplace transform

SIMULATION, Vol. 80, No. 11, 635-643 (2004)
DOI: 10.1177/0037549704050183
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