Robust Stability Analysis

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Author Index
A B C D E F G H I
J K L M N O P Q R
S T U V W X Y Z

New Robust Stability and Performance Conditions Based on Parameter Dependent Multipliers

Authors:

Marco Dettori, Carsten W. Scherer,

Volume: 1, Page 4187 Paper number 1524

Abstract:

This paper introduces a new robust stability and performance characterization for parameter dependent systems. The main idea is to jointly use parameter dependent Lyapunov functions and parameter dependent multipliers. It is shown that the novel tests can be easily specialized to results that have been recently proposed in the literature and that have been derived in an independent fashion for discrete- and continuous-time systems. It is revealed that these characterization apply to system descriptions with rational parameter dependence, and we discuss in how far they extend to robust state-feedback controller synthesis. Various examples demonstrate the benefit of the proposed algorithms over previous approaches.

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A Unified Approach for Stability Robustness Computation of Quasipolynomials in a Convex Set

Authors:

Guangdi Hu, Edward J. Davison,

Volume: 1, Page 4193 Paper number 71

Abstract:

In this paper, the method of approach as used in Qiu and Davison (1992) and Hu and Davison (2000) is extended to the case of delay and neutral type quasipolynomials. We develop a unified approach to compute the stability robustness measure of quasipolynomials in a convex set using the framework of convex analysis. The procedure to compute the stability robustness measure which results from this approach is easy to implement. Finally, an example is given to demonstrate the effectiveness of this approach.

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Vertex Results For Parametric Shifted H-Infinity Performance Of Weighted Interval Plants

Authors:

Sen-Jian An, Xiheng Hu, Branka Vucetic, Wanquan Liu,

Volume: 1, Page 4195 Paper number 9034

Abstract:

This paper considers the parametric shifted H-infinity problems of weighted interval plants. A sufficient condition is obtained on weighting functions such that for any interval plants the maximal H-infinity norm of the weighted interval plants is achieved at one of the extreme point plants.

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Some Applications of the Polytope Problem

Authors:

L.R. Pujara,

Volume: 1, Page 4197 Paper number 54

Abstract:

A solution for the existence of a fixed order stabilizing controller for any SISO plant (cont. or discrete) is proposed.Also ,the question of the existence of a constant output feedback to stabilize a SIMO or a MISO plant is also addressed.These applications are based on the algorithm for determining the existence of a stable polynomial in a polytope,which has recently been proposed by the author.Three numerical examples are given to illustrate various applications.

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Analysis of Robust Pole Clustering in a Good Ride Quality Region for Uncertain Matrices

Authors:

Sheng-Guo Wang,

Volume: 1, Page 4203 Paper number 1160

Abstract:

This paper presents a general analysis of robust pole clustering in a good ride quality region of aircraft, a specific non-Omega-transformable region, for uncertain matrices. The region is an intersection of a ring and a horizontal strip, located on the left half-plane. From experiments, it is known that the control system with poles located in this specific region provides a good ride quality for aircraft. The paper applies Rayleigh principle along the norm theory to analyze robust pole clustering within this good ride quality region since the generalized Lyapunov theory is not valid for non-Omega-transformable regions. The mainly concerned uncertainties are unstructured uncertainties. A simple extension of the results for structured uncertainties is also provided. Two examples illustrate the results for a perturbed closed-loop system matrix of F16 aircraft approximation model. The results are useful for robustness analysis and, especially, analysis of robust good ride quality of aircra

CD001160.PDF (From Author)

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Robust Hurwitz and Schur Stability Test for Interval Matrices

Authors:

Yang Xiao, Rolf Unbehauen,

Volume: 1, Page 4209 Paper number 1017

Abstract:

By relying on a two-dimensional (2-D) face test, we obtain necessary and sufficient condition for the robust Hurwitz and Schur stability of interval matrices. We reveal that it is impossible that there are some isolated unstable points in the parameter space of the matrix family, so the stability of exposed 2-D faces of an interval matrix guarantees stability of the matrix family. Examples are given to demonstrate the applicability of our robust stability test of interval matrices.

CD001017.PDF (From Author)

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Edge Test for Domain Stability of Polytopes of Two-Dimensional (2-D) Polynomials

Authors:

Yang Xiao,

Volume: 1, Page 4215 Paper number 1021

Abstract:

The necessary and sufficient conditions of domain stability of polytopes of 2-D polynomials have been established. The conditions are based on edge theorem and convex directions. The number of edges to be tested can be reduced by a testing set constructed by us. An example has been given to demonstrate the applicability of our new approach.

CD001021.PDF (From Author)

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