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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)

- Maria Do, Rosã Ario De Pinho, Achim Ilchmann
- 1997

An optimal control problem for time-varying, nonlinear diierential equations with state-dependent control constraints is considered, the data may be nonsmooth. A weak maximum principle is derived in case of equality mixed constraints and pointwise set constraints imposed only on some components of the control variable. This result is then applied to derive… (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)

The problem of asymptotic tracking of reference signals is considered in the context of m-input, m-output linear systems ðA, B, CÞ with the following structural properties: (i) CB is sign definite (but not necessarily symmetric), (ii) the zero dynamics are exponentially stable. The class Y ref ðÞ of reference signals is the set of all possible solutions of… (More)