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Tracking with prescribed transient behaviour

Achim Ilchmann; E. P. Ryan; C. J. Sangwin — 2002

ESAIM: Control, Optimisation and Calculus of Variations

Universal tracking control is investigated in the context of a class $𝒮$ of $M$ -input, $M$ -output dynamical systems modelled by functional differential equations. The class encompasses a wide variety of nonlinear and infinite-dimensional systems and contains – as a prototype subclass – all finite-dimensional linear single-input single-output minimum-phase systems with positive high-frequency gain. The control objective is to ensure that, for an arbitrary $ℝ^{M}$ -valued reference signal $r$ of class $W^{1, \infty}$ (absolutely...

Tracking with prescribed transient behaviour

Achim Ilchmann; E. P. Ryan; C. J. Sangwin — 2010

ESAIM: Control, Optimisation and Calculus of Variations

Universal tracking control is investigated in the context of a class of -input, -output dynamical systems modelled by functional differential equations. The class encompasses a wide variety of nonlinear and infinite-dimensional systems and contains – as a prototype subclass – all finite-dimensional linear single-input single-output minimum-phase systems with positive high-frequency gain. The control objective is to ensure that, for an arbitrary $ℝ^{M}$ -valued reference signal of class ...

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