Observer-based anti-saturation local stabilization control for a class of nonlinear systems
A new observer-based nonlinear anti-saturation local stabilization control approach for a class of polynomial nonlinear systems with partially unmeasurable states and input saturation con-straints is proposed.By using the Lyapunov stability theory and polynomial sum of squares(SOS)method,the existence conditions of the observer-based nonlinear local stabilization control are first given according to the structural features of such systems.Furthermore,without the increase of sys-tem dimension,a nonlinear anti-saturation compensator is designed based on the difference between the input and output of the actuator to eliminate the influence of input saturation on the control sys-tem.Finally,the proposed approach and the classical linear anti-saturation approach are applied to a flexible satellite attitude system for comparative research.The simulation results show that the pro-posed method is feasible and effective.
nonlinear anti-saturationpolynomial systemreduced-order observersum of squares
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