Abstract
This paper addresses the finite-time tracking problem for the double-layer Peltier system. Peltier is a semiconductor thermoelectrical transform device. It is widely used in the thermal tactile reappearance area. To expand temperature differences, Peltier is usually used in the form of double layers. There are some uncertain factors such as state coupling, external disturbance, and parameter perturbation in double-layer Peltier. Therefore, it is of great theoretical and practical significance to design a controller with superior performance. To this end, a compound continuous integral terminal sliding mode control strategy is proposed here. Firstly, finite-time disturbance observers are designed for feedforward compensation and evaluating the external disturbances. Secondly, the strong robustness of the sliding mode control enhances the disturbance rejection of the system. The continuous integral sliding mode makes the input continuous and weakens the chattering. Also, the terminal sliding mode improves the convergence speed of the system on the sliding surface significantly. The performance of the proposed method is analyzed through Lyapunov stability analysis, simulations, and experiments. Compared to nonsmooth finite-time control, the continuous integral terminal sliding mode control achieves rapid temperature stability and better disturbance rejection under the same condition of finite-time convergence.
Highlights
Single-layer Peltier achieves thermal tactile reappearance within a certain range [1]
In order to ensure the fairness of the comparison, the finite-time disturbance observer-based continuous integral terminal sliding mode controller is adopted for two Peltier structures
The problem of the finite-time tracking control of the surface temperature of the double-layer Peltier system has been addressed with the help of the continuous integral terminal sliding mode control strategy based on the finitetime disturbance observer
Summary
Single-layer Peltier achieves thermal tactile reappearance within a certain range [1]. In order to ensure the finite-time convergence of the double-layer Peltier temperature control system, the disturbance observer with finite-time convergence is adopted. Under assumption 1, for the double-layer Peltier system (2), if the finite-time disturbance observers are designed as (3) and (4), the sliding mode surfaces are chosen as (9) and the control strategy is designed as follows: u1. (2) Proving that the top and bottom Peltier control systems reach to their respective sliding mode surface in finite time. (3) Proving that the state error of the system on the sliding mode surface can converge to the equilibrium point in finite time. According to equation (16), the time to reach the equilibrium point can be calculated as follows on the sliding mode surface, respectively:. Since si(t) limt⟶0(gi(t) − gi(t − Δ))/Δ, sampling time Δ can be choosed to judge the symbol of si(t) according to the increase or decrease of gi(t) in the sampling time Δ [30]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
