D. Docampo

Controller synthesis for a class of interval plants

Abstract This paper presents a new approach to the synthesis of stabilizing controllers for a class of one-parameter interval plants. The approach is based on the concept of analytic-real positive (ARP) functions.

New Extreme-Point Robust Stability Results for Discrete-Time Polynomials

This paper provides some new extreme-point robust-stability results for discrete-time polynomials with special uncertainties in the coefficient space. The proofs, obtained using the barycentric coordinates, are simple and the results specialize to existing robust-stability results.

Robust stability of complex polynomials with annular uncertainties

In this paper, we find necessary and sufficient conditions for the stability of a family of annular, complex polynomials with the possibility of including a center polynomial. The proposed results can be modified to solve the disk problem by simply equating the inner radius of the annuli to zero. These results have applications in the communications arena and some signal processing problems.

Robustness analysis of polynomials with linearly correlated uncertain coefficients in l/sup p/-normed balls

The aim of this paper is to obtain the uncertain value set in the complex plane for systems with real and complex parameters that are known to lie inside a ball in a weightedlp-norm. It generalizes previously available results and may be used to test the robust stability of polynomials whose coefficients lie in a weighted lp-ball.

Feasibility analysis of channel equalizers using Kharitonov-type results

Necessary and sufficient conditions for determining the robust location of the roots of a family of polynomials are presented. This family appears when multipath fading channels are considered due to the uncertainty in the channel impulse response. The uncertainty is reflected by means of confidence intervals for the channel parameters. A feasibility analysis of digital equalizers is performed in the frequency domain to determine whether the poles are to be found in a prespecified region of the complex plane. The resulting tests, which can be carried out in a graphical manner, are both analysis and design tools, which can help to decide the suitable length of a constrained equalizer. The analysis method presented resolves the location of the poles on a zero-forcing equalizer structure.<<ETX>>

Robust Stability of Polynomials with Annular Uncertainties

Abstract In this paper, we formulate and solve the stability problem for complex polynomials whose coefficients lie in annular sets. The results include the previously known case of disks uncertainties

Extreme-point stability tests for discrete-time polynomials

The authors provide an extension to some robust stability results for discrete-time polynomials expressed directly in the coefficient domain by making use of extreme-point results for continuous-time polynomials. Specifically, independent variations can be allowed not only in the upper-half of the coefficients but also on the coefficient prior to the center one in the case where the degree of the polynomials under consideration is odd. The case of dependent coefficients is also extended from previous results.<<ETX>>