Robust nonlinear control integrated operator theory and sliding mode technology for a system considering the change of thermal conductivity

Based on the mathematical modelling of a cooling and heat system using Peltier elements, thermal conductivity influencing the characteristics of Peltier device is taken into account to increase the temperature control accuracy. Integrating operator theory and sliding mode technology, the control system is designed, where the robust stability of the nonlinear system is ensured with operator-based right coprime factorization and robust stability condition is proposed for system’s robustness analysis. Besides, for the tracking performance of the designed nonlinear system, sliding mode technology is also adopted. New simulations and experiments of the proposed system demonstrate the effectiveness.