Non-overshooting control of nonlinear pure-feedback systems

Abstract

In this paper, the non-overshooting tracking control problem of nonlinear pure-feedback systems is studied. From the model, nonlinear pure-feedback systems are more general than nonlinear strict-feedback systems. In this way, the nonlinear pure-feedback system can express the physical system that the strict-feedback system cannot. Therefore, it is more meaningful to study the nonlinear pure-feedback system. At present, there are few reports on non-overshooting control of nonlinear systems. These documents are mainly aimed at nonlinear strict-feedback systems, and the obtained non-overshooting conditions are also conservative. Then, this paper aims at nonlinear pure-feedback systems, and obtains its non-overshooting conditions from another aspect. The specific narrative is as follows: the closed-loop system is structured by designing the auxiliary controller, and then the expressions of tracking error are derived. By analyzing these expressions, the conditions of non-overshooting tracking control of pure-feedback systems are obtained. Finally, the simulation results of three examples verify the effectiveness of this algorithm.