Sliding Mode Control for Inverse Response Systems: A Trajectory Tracking Study

This paper introduces and compares three control strategies for systems exhibiting inverse response with variable reference tracking: Dynamic Sliding Mode Control (DSMC), Sliding Mode Control (SMC), and Proportional-Integral-Derivative (PID) control. These controllers were tested in two cases: using simulations in a nonlinear isothermal Continuous-Stirred Tank Reactor (CSTR) and in a modified Temperature Control Lab (TCLab). The results, both simulations and experimental, show that the DSMC consistently outperforms both the SMC and the PID controllers, delivering superior tracking performance in controlling the inverse response behavior when the reference is variable.