Measurement Feedback Control of Nonlinear Uncertain Systems with Integral-ISS Dynamic Uncertainties

This paper studies the measurement feedback control problem of nonlinear systems in the cascaded form with dynamic uncertainties. It is assumed that the dynamic uncertainties are integral input-to-state stable (iISS). A new construction design with set-valued virtual control laws is proposed to deal with the measurement disturbance, and the closed-loop system is transformed into an interconnected system with the subsystem being ISS or iISS. The closed-loop system is proved to be iISS with respect to the measurement disturbance by constructing an iISS Lyapunov function.