Finite-time control for double-layer Peltier system based on finite-time observer

The Peltier is a refrigeration device and usually used in the form of single layer. Sometimes single-layer Peltier may not have sufficient refrigerating capacity with deeper application. To this end, a double-layer Peltier system is proposed in this article. With the increasing layers, the nonlinearity of the system is enhanced and the multiple variables are coupled, bringing about control difficulty. To solve these control problems and promote the disturbance rejection performance, a composite controller is presented, consisting of feedback regulation based on finite-time control and feed-forward compensation based on finite-time disturbance observer. Then, finite-time Lyapunov stability analysis is shown to prove that this control scheme can converge to the equilibrium point in finite time. Last but not least, simulation and experiment are conducted to verify that the proposed strategy has not only a rapid convergence performance but also a prominent disturbance rejection property.