| Stability Results of Popov-Type for Infinite-Dimensional Systems with Applications to Integral Control (2008) | |||||||||||||||||
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| We derive absolute stability results of Popov-type for in nite-dimensional systems in an input-output setting. Our results apply to feedback systems where the linear part is the series interconnection of an L -stable linear system and an integrator and the nonlinearity satis es a sector condition which allows for nonlinearities with lower gain equal to zero (such as saturation, or more generally, bounded nonlinearities). These results are used to prove convergence and stability properties of low-gain integral feedback control applied to L -stable linear systems subject to actuator and sensor nonlinearities. The class of actuator/sensor nonlinearities under consideration contains standard nonlinearities which are important in control engineering such as saturation and deadzone. Moreover, we use the input-output theory developed to derive state-space results on absolute stability and low-gain integral control for strongly stable well-posed in nite-dimensional linear systems. | |||||||||||||||||
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