The linear model of a heat conduction rod in one space dimension is used as a benchmark example in order to explain the flatness-based feedforward and feedback control of parabolic distributed parameter systems. The considered heated rod model with boundary input allows the design of a feedforward control utilizing the inverse system representation in order to exactly track a sufficiently smooth output trajectory. A novel approach for design of a feedback control and an observer enables the unified flatness-based synthesis of tracking control with feedforward and state estimation. This approach is exemplarily explained for the finite time transition between stationary temperature profiles and illustrated by discussion of simulation results.
Print ISSN: 0178-2312
Volume: 52, 09/2004
Pages: 411 - 420