A Time-Varying Gain Design Method for State Feedback Control of Upper Triangular Nonlinear Systems

Abstract EN

In this paper, a time-varying gain design method is used to investigate the state feedback control problem of upper triangular nonlinear systems.

Firstly, the nonlinear term recognizes an incremental rate relying on the unknown constant and the function with respect to time.

Then, a time-varying gain design method is utilized to construct a state feedback controller.

With the help of a suitable coordinate transformation and a Lyapunov function, one obtains that all the signals of the closed-loop system converge to zero.

Finally, two numerical examples are presented to display the effectiveness of the time-varying gain design method.