Boundary tracking control of an unstable cascaded heat system with a non‐collocated feedback

Here, we consider the output tracking problem of two cascaded heat equations through boundary interconnection, where one equation is unstable and control input placed on other equation. A feedforward designed to realize desired reference signal. non-collocated static feedback proposed stabilize error system. The admissible gain obtained by applying Nyquist criterion. Then closed-loop system showed be exponentially stable. Finally, performance illustrated numerical simulation.