H-Infinity Error Bounds In Approximating Time-Delay Systems

In this paper, upper and lower bounds on approximating time-delay systems are proposed. Bounds on the infinity norm of the weighted error are obtained when the approximating function is a general rational function, an all-pass function or Pad and Laguerre approximations. In addition, approximations of the weighted errors for both Pade and Laguerre approximating functions are developed. Examples are presented in illustration

Parametric Uncertainty Bounds For Guaranteed H-Infinity-NormSpecifications

We derive bounds on the parameters of systems represented by a transfer functions such that a system satisfying these bounds will satisfy a bound on the H-infinity-norm of the uncertainty in a given nominal system. We develop the bound and give examples for illustration. Copyright (C) 1999 John Wiley Sons, Ltd

Robust Control Of Sampled Data Systems

The authors present robust stability bounds for sampled data systems. The bounds are derived for the general case of additive perturbation in a system, and the control gain matrices for continuous time systems under discrete state feedback control. They then present a numerical controller design algorithm based on the derived bounds. Examples are used for demonstration

Approximation Of Time-Delay Systems

We propose a new method for approximating time-delays in dynamical systems. A weighted II-infinity norm criterion is minimized to obtain rational approximation of e(-sd). We report the approximation in a diagram relating both the amount of time delay and the bandwidth to the order of the approximating rational function for a given level of infinity norm. The obtained approximations are compared to the widely used Fade's approximation. Examples are used for illustrations

Error Bounds In Approximating Time-Delay Systems

In this paper, bounds on approximating time-delay systems are proposed. Bounds on the infinity norm of the weighted error are obtained when the approximating function is a general rational function, all-pass function, Pade' and Laguerre approximations. An example is presented in illustration