Exact uncertainty compensation of linear systems by continuous fixed-time output-feedback controller

This paper studies the fixed-time output-feedback control for a class of linear systems subject to matched uncertainties. To estimate uncertainties and system states, we design composite observer which consists high-order sliding mode Luenberger observer. Then, robust controller with convergence guarantee is constructed. Rigorous theoretical proof shows that proposed controller, states can converge zero in free initial conditions. Finally, simulation comparison existing algorithms given. Simulation results verify effectiveness terms its perfect disturbance rejection.