Achim Ilchmann

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—Tracking—by the system output—of a reference signal (assumed bounded with essentially bounded derivative) is considered in the context of a class of nonlinear, single-input, single-output systems modelled by functional differential equations and subject to input saturation. Prespecified is a parameterized performance funnel within which the tracking error(More)
Tracking of a reference signal (assumed bounded with essentially bounded derivative) is considered in the context of a class Σρ of multi-input, multi-output dynamical systems, modelled by functional differential equations, affine in the control and satisfying the following structural assumptions: (i) arbitrary – but known – relative degree ρ ≥ 1, (ii) the "(More)
—We control a two mass system with uncertain parameter values, encompassing friction and hysteretic effects, modelled as a functional differential equation. As opposed to control strategies invoking identification mechanisms or neural networks, we propose controllers relying on structural system properties only. Output behaviour with pre-specified accuracy(More)
Tracking of a reference signal (assumed bounded with essentially bounded derivative) is considered in a context of a class of nonlinear systems, with output y, described by functional differential equations (a generalization of the class of linear minimum-phase systems with positive high-frequency gain). The primary control objective is tracking with(More)
—The adaptive high-gain output feedback strategy () = () (), () () = () is well established in the context of linear, minimum-phase,-input-output systems (, ,) with the property that spec() ; the strategy applied to any such linear system achieves the performance objectives of: 1) global attractivity of the zero state and 2) convergence of the adapting gain(More)
[6] M. S. Branicky, " Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, " IEEE Trans. Bullo, " Spatially-distributed coverage optimization and control with limited-range interactions, " ESAIM: Control , Optim. Stability of multiagent systems with time-dependent communication links, " IEEE Trans. Results on convergence in(More)
In this paper we study a particular class of -node recurrent neural networks (RNN's). In the 3-node case we use monotone dynamical systems theory to show, for a well-defined set of parameters, that, generically, every orbit of the RNN is asymptotic to a periodic orbit. Then we investigate whether RNN's of this class can adapt their internal parameters so as(More)