H-Infinity Model Following Control for Uncertain Systems by Using Digital Redesign Sliding Mode Control

In this article, we discuss the H
_∞
model following control for uncertain continuous systems by using a discrete sliding mode control (SMC). In contrast to the reports in the literature, the digital redesign technology is newly integrated with SMC such that the traditional sliding mode controller can be discretized and easily implemented with digital signal processing technology. Under the proposed digital redesign SMC, the states of the controlled systems can be controlled and follow the trajectory of the model systems. Furthermore, by using the linear quadratic analog tracker (LQAT) design for model systems, the model system also can track the desired trajectory. Besides, to solve the chattering performance, a saturation function is introduced, and the upper-bound of the sliding mode function by utilizing the saturation function is well discussed. Finally, we use a numerical example to illustrate the robustness and effectiveness of the proposed digital redesign SMC in this article.