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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)

[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)

Tracking of reference signals y ref (·) by the output y(·) of linear (as well as a considerably large class of nonlinear) single-input, single-output system is considered. The system is assumed to have strict relative degree two with (" weak ") stable zero dynamics. The control objective is tracking of the error e = y − y ref and its derivative ˙ e within… (More)

Systems of controlled functional differential equations and adaptive tracking Zuerst erschienen in: Abstract. An adaptive servomechanism is developed in the context of the problem of approximate or practical tracking (with prescribed asymptotic accuracy), by the system output, of any admissible reference signal (absolutely continuous and bounded with… (More)

By Gronwall's inequality, we have jx1(t) 0 1(t)j 2 R e Ct t 0 jx2(s) 0 2(s)j 2 R ds Const. sup t jx 2 (t) 0 2 (t)j 2 R : (32) It is easy to show that x 2 (t) 0 2 (t) satisfies d(x2(t) 0 2(t)) = 0 d 2 (t) dt dt + f2(x1(t); x2(t)) dt + dw2(t): (33) By Girsanov's transformation, we have Pfsup t jx2(t) 0 2(t)j R jx1(0) = x1o; x2(0) = x2og Pfsup t jw2(t)jR g = E… (More)