State estimation of thermal systems with multiple operation modes

The state estimation of thermal systems with multiple operation modes is considered. Based on a description as hybrid dynamical systems, we reduce it into an observer design problem for switched linear systems. In this design, a tradeoff between fast response and robustness must be taken into account in addition to a guarantee of stability as a switched system. For this purpose, we introduce LMIs with common Lyapunov function to place the closed-loop poles of the observer for each subsystem in the prescribed region in the complex plane. The effectiveness of proposed method is verified through numerical simulations with experimental data set.