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Hybrid Symbolic and Numerical Simulation Studies of Time-fractional Order

by YangQuan Chen

 

27 Mar 2006 (Updated 27 Mar 2006)

No BSD License  

Matlab code to duplicate all figures in the paper, self-containing.

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Description

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.

Type "fig1" will get fig1 in the paper.

Citation:
Jinsong Liang and YangQuan Chen. ?Hybrid Symbolic and Numerical Simulation Studies of Time-fractional Order Wave-Diffusion Systems?, Int. J. of Control. Special Issue on on the Use of Computer Algebra Systems for Computer Aided Control System Design. (In press, 2006)

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
Boundary Control via Smith Predictor for Beam Equation

Required Products Extended Symbolic Math Toolbox
Symbolic Math Toolbox
MATLAB release MATLAB 7 (R14)
Other requirements NILT by Lubomir Brancik <brancik@feec.vutbr.cz> and SolvOpt Matlab Toolbox http://www.kfunigraz.ac.at/imawww/kuntsevich/solvopt/download.html (both included for self-containing purpose)
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Other Files
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ijc_figures/figure_3.m,
ijc_figures/figure_5_and_6.m,
ijc_figures/figure_8_and_9.m,
ijc_figures/fracsim_ijc_05.pdf,
ijc_figures/fracwave_fractrl.m,
ijc_figures/fracwave_fractrl_smith.m,
ijc_figures/nilt.m,
ijc_figures/objfun.m,
ijc_figures/readme.txt,
ijc_figures/solvopt/apprgrdn.m,
ijc_figures/solvopt/dscntf.m,
ijc_figures/solvopt/dscntg.m,
ijc_figures/solvopt/dsobjf.m,
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ijc_figures/solvopt/initmaxq.m,
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ijc_figures/solvopt/shorg.m,
ijc_figures/solvopt/solvdemo.m,
ijc_figures/solvopt/solvopt.m,
ijc_figures/solvopt/soptions.m,
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ijc_figures/solvopt/uncprobs/lin1.m,
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ijc_figures/solvopt/uncprobs/meyer.m,
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ijc_figures/solvopt/uncprobs/vardim.m,
ijc_figures/solvopt/uncprobs/vecfcn.m,
ijc_figures/solvopt/uncprobs/vecjac.m,
ijc_figures/solvopt/uncprobs/watson.m,
ijc_figures/solvopt/uncprobs/wood.m,
ijc_figures/solvopt/unctest.m
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Tag Applied By Date/Time
symbolic math YangQuan Chen 22 Oct 2008 08:20:28
numerical inverse laplace transform YangQuan Chen 22 Oct 2008 08:20:29
fractional YangQuan Chen 22 Oct 2008 08:20:29
 

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