Fixed-Time Output Feedback Control for a Class of Second-Order MIMO Nonlinear Systems

Abstract

This paper considers the problem of fixed-time output feedback control for a class of second-order multiple-input multiple-output (MIMO) nonlinear systems. With the help of the homogeneity property, a global observer is first proposed to obtain an accurate estimate of unmeasurable system states within fixed time. Then, with application of the observer derived here, a fixed-time output feedback controller is designed for tracking control of second-order MIMO nonlinear systems. Rigorous analysis is provided to show that the proposed control law can guarantee the system state tracking a time-varying reference within fixed time without using full state measurements. Finally, numerical simulations are presented to demonstrate the effectiveness of the proposed method.