High Performance Bounded Finite Time Control for Linear Systems With Input Saturation

Real-world dynamical controlled systems are often subject to input saturation due to the physical constraints of actuators. This causes the response performance of the system to be degraded. To this end, we propose a high-performance bounded finite time control (HP-BFTC) method based on sliding mode control for finite time tracking of linear systems with input saturation. In this method, a novel concept of rate regulation finite-time stability is proposed to achieve better steady-state performance. A bounded controller based on sliding mode control is proposed to achieve finite-time stability in rate regulation, wherein a finite time approach rate based on an inverse tangent function is presented to alleviate chattering caused by sign function, and two control parameters are introduced to improve response performance. The rate regulation finite-time stability of the system is proved in the estimated domain of attraction. In addition, a parameter tuning principle is given to enhance the response performance of the closed-loop system in transient and steady state. The superiority of the proposed method in performance is verified by a case study.