| Absolute Stability Results for Well-Posed Infinite-Dimensional Systems with Applications to Low-Gain Integral Control (2007) | |||||||||||||||||
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| : We derive absolute stability results for well-posed innite-dimensional systems which, in a sense, extend the well-known circle criterion to the case that the underlying linear system is the series interconnection of an exponentially stable well-posed innite-dimensional system and an integrator and the nonlinearity satises a sector condition of the form h(u); (u) aui 0 for some constant a > 0. These results are used to prove convergence and stability properties of low-gain integral feedback control applied to exponentially stable, linear, well-posed systems subject to actuator nonlinearities. The class of actuator nonlinearities under consideration contains standard nonlinearities which are important in control engineering such as saturation and deadzone. Keywords: Absolute stability; actuator nonlinearities; circle criterion; integral control; positive real; robust tracking; well-posed innite-dimensional systems. This work was supported by the UK-DUTCH Joint Scientic R... | |||||||||||||||||
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