Disturbance rejection and tracking design via the SSR approach for second order uncertain systems (Q2747401)

Based on the Self-Stable Region (SSR) approach, the paper adopts a nonlinear structure to treat the disturbance rejection problem and the tracking problem for the second order uncertain systems NEWLINE\[NEWLINE\dot x_1=f_1(x_1,x_2),\quad\dot x_2=f_2(x_1,x_2)+w(t)+u(x_1,x_2),NEWLINE\]NEWLINE where \(w(t)\) is the bounded disturbance. The theoretical analysis and two simulation results show that the nonlinear synthesis method can reject the disturbance and reduce the tracking errors effectively; the SSR approach can effectively solve the contradiction between quick tracking and overshoot; robust performance can be achieved by a simple nonlinear control structure.