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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)

- Von Stephan Trenn, Achim Ilchmann
- 2009

—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)

—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)

In the sequel to [A. we discuss a behavioral approach for linear, time-varying, differential algebraic (de-scriptor) systems with real analytic coefficients. The analysis is " almost global " in the sense that the analysis is not restricted to an interval I ⊂ R but is allowed for the " time axis " R\T, where T is a discrete set of critical points, at which… (More)

We develop a behavioural approach to linear, time-varying, differential-algebraic systems. The analysis is " almost everywhere " in the sense that the statements hold on R \ T, where T is a discrete set. Controllability, observability and autonomy is introduced and related to the behaviour of the system. Classical results on the behaviour of time-invariant… (More)