Application of multivariable measurement and control strategies to a problem in heat conduction

A detailed analysis of the boundary control of a one-dimensional heat conduction system is performed using recent results in multivariable feedback theory. Non-interacting control, optimal control, inverse Nyquist array and characteristic locus techniques were applied to the system. An analysis is made of the potential improvements in performance through the use of extra measurements and through the change in measurement location. Results show the advantages and disadvantages of the techniques and point to the flexibility of the characteristic locus method with and without the squaring down of extra measurements.