International Journal of Control, Vol.79, No.11, 1462-1470, 2006
Hybrid symbolic and numerical simulation studies of time-fractional order wave-diffusion systems
Boundary control of time-fractional order diffusion-wave systems is becoming an active research area. However, there is no readily available simulation tool till now for researchers to analyze and design controllers. In this paper, a simulation method for some typical boundary control problems, combining symbolic mathematics and numerical method, is presented with two application examples. In the intermediate steps of the simulation, an important by-product, the transfer function of the controlled system, can be obtained, which makes the design of more advanced boundary controllers possible and much easier.