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A Measure of Worst-Case HPerformance and of Largest Acceptable Uncertainty
(1991)
The structured singular value (SSV or ) is know to be an effective tool for assessing robust performance of linear time- invariant models subject to structured uncertainty. Yet all a single analysis provides is a bound ݠon ...
Nonlinear Dynamics of Axial Flow Compressors: A Parametric Study
(1991)
This paper presents the analysis of the dynamics of a representative axial flow compressor model, emphasizing the influence of two important control parameters. These are a nondimensional parameter B (previously introduced ...
Stability and Robust Control of Period Doubling Bifurcations
(1993)
This thesis addresses the stability and feedback control of period doubling bifurcations. We find formulas for determining the stability of nondegenerate and degenerate period doubling bifurcations. Specifically, we find ...
Dynamics and Control of Constrained Nonlinear Systems
(1992)
As applications have grown in the fields of robotics and automation, power systems, and electronic circuit systems, there has been an increasing interest in the control of constrained dynamic systems described by differential ...
Linear Fractional Transformations for the Approximation of Various Uncertainty Sets
(1991)
Recently, it was shown that the structured singular value framework can be extended to the case when information on the phase of the uncertainty is available, and a computable upper bound on the corresponding "phase sensitive ...
On Continuity/Discontinuity in Robustness Indicators
(1991)
Continuity/discontinuity of robustness indicators is reviewed. For the case of real or mixed uncertainty, a regularization of the frequency dependent robustness margin is proposed and its properties are discussed. Implication ...
Worst-Case HPerformance Under Structured Perturbations with Known Bounds
(1990)
The structured singular value (SSV or ) is known to be an effective tool for assessing robust performance of linear time- invariant models subject to structured uncertainty. Yet all a single analysis provides is a bound ...
On the Computation of the Real Stability Radius
(1993)
Recently, Qiu et al. obtained a computationally attractive formula for the computation of the real stability radius. This formula involves a global maximization over frequency. Here we show that the frequency range can be ...
When is the Multiaffine Image of a Cube a Polygon?
(1992)
We give two simple sufficient conditions under which the multiaffine image on the complex plane of an m-dimensional cube is a convex polygon. A third condition which, in some generic sense, is necessary and sufficient is ...
Some Techniques for Analysis and Design of Robust Controls
(1991)
In this thesis we consider issues concerning the robustness of linear time invariant systems. We first attempt to gain a better understanding of some of the problems involved in the robustness assessment of multivariable ...