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Published in:
2012 | OriginalPaper | Chapter
Numerical Simulation and Linear Active Disturbance Rejection Control of Unstable Heat Conduction Systems
Authors : Dong Zhao, Donghai Li, Yanzhen Chang, Youqing Wang
Published in: System Simulation and Scientific Computing
Publisher: Springer Berlin Heidelberg
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This paper presents a numerical solution to one-dimensional unstable heat conduction systems with three different boundary conditions, e.g., a thin rod with heat conduction only in the length direction. A finite difference method combined with a physically feasible and high-precision boundary realization approach is employed to calculate the temperature values along the rod under Dirichlet, Neumann, and Robin boundary conditions, respectively. Using the temperature at a desired position, a simple and excellent robustness controller——linear active disturbance rejection control (LADRC) could give an effective actuation on one boundary to get the temperature on the desired position under close-loop control. Finally, the robustness of the proposed controller with respect to external noises and parameter perturbations is also tested.