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A stabilization algorithm for a class of uncertain linear systems
Abstract This paper presents an algorithm for the stabilization of a class of uncertain linear systems. The uncertain systems under consideration are described by state equations which depend onExpand
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Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
The problem of robustly stabilizing a linear uncertain system is considered with emphasis on the interplay between the time-domain results on the quadratic stabilization of uncertain systems and theExpand
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Optimal guaranteed cost control and filtering for uncertain linear systems
The paper presents results on the design of robust state feedback controllers and steady-state robust state estimators for a class of uncertain linear systems with norm bounded uncertainty. The stateExpand
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Stability Robustness of a Feedback Interconnection of Systems With Negative Imaginary Frequency Response
  • A. Lanzon, I. Petersen
  • Mathematics, Computer Science
  • IEEE Transactions on Automatic Control
  • 16 May 2008
TLDR
A necessary and sufficient condition, expressed simply as the dc loop gain (i.e., the loop gain at zero frequency) being less than unity, is given in this note to guarantee the internal stability of a feedback interconnection of linear time-invariant multiple-input multiple-output systems with negative imaginary frequency response. Expand
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  • PDF
Robust Kalman Filtering for Signals and Systems with Large Uncertainties
From the Publisher: The purpose of this new book is to present recent developments in the theory of robust-state estimation for the case in which a process model contains significant uncertaintiesExpand
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Minimax optimal control of stochastic uncertain systems with relative entropy constraints
TLDR
We introduce a new class of discrete time stochastic uncertain systems in which the uncertainty is described by a constraint on the relative entropy between a nominal noise distribution and the perturbed noise distribution. Expand
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A riccati equation approach to the stabilization of uncertain linear systems
TLDR
This paper presents a method for designing a feedback control law to stabilize a class of uncertain linear systems. Expand
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Feedback Control of Negative-Imaginary Systems
This paper investigates the robustness of positive-position feedback control of flexible structures with colocated force actuators and position sensors. In particular, the theory ofExpand
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Robustness and risk-sensitive filtering
TLDR
Risk-sensitive estimators (including filters) enjoy an error bound which is the sum of two terms, the first of which coincides with an upper bound on the error that one would obtain if one knew exactly the underlying probability model. Expand
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Minimax optimal control of stochastic uncertain systems with relative entropy constraints
Considers a class of discrete time stochastic uncertain systems in which the uncertainty is described by a constraint on the relative entropy between a nominal noise distribution and the perturbedExpand
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