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Absolute stability results for well-posed infinite-dimensional systems with applications to low-gain integral control

  • Hartmut Logemann (a1) and Ruth F. Curtain (a2)

Abstract

We derive absolute stability results for well-posed infinite-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 infinite-dimensional system and an integrator and the nonlinearity ϕ satisfies a sector condition of the form (ϕ(u),ϕ(u) - au) ≤ 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.

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Absolute stability results for well-posed infinite-dimensional systems with applications to low-gain integral control

  • Hartmut Logemann (a1) and Ruth F. Curtain (a2)

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