Publications related to Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs

Fast hard thresholding with Nesterov's gradient method

We provide an algorithmic framework for structured sparse recovery which unifies combinatorial optimization with the non-smooth convex optimization framework by Nesterov [1, 2]. Our algorithm, dubbed Nesterov iterative hard-thresholding (NIHT), is similar ...

2010

Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry

Marc Troyanov

David Hilbert discovered in 1895 an important metric that is canonically associated to any convex domain

\Omega

in the Euclidean (or projective) space. This metric is known to be Finslerian, and the usual proof assumes a certain degree of smoothness of t ...

2009

Robust fixed-order H infinity Controller Design for Spectral Models by Convex Optimization

Alireza Karimi, Roland Longchamp, Gorka Galdos Sanz de Galdeano

A new approach for robust fixed-order

H_\infty

controller design by convex optimization is proposed. Linear time-invariant single-input single-output systems represented by a finite set of complex values in the frequency domain are considered. It is show ...

IEEE2008

Real-time suboptimal model predictive control using a combination of explicit MPC and online optimization

Colin Neil Jones, Melanie Nicole Zeilinger

Limits on the storage space or the computation time restrict the applicability of model predictive controllers (MPC) in many real problems. Currently available methods either compute the optimal controller online or derive an explicit control law. In this ...

IEEE2008

Robust Pole Placement of Systems with Polytopic Uncertainty Via Convex Optimization

Alireza Karimi, Roland Longchamp, Hamid Khatibi

Convex parameterization of fixed-order robust stabilizing controllers for systems with polytopic uncertainty is represented as an LMI using KYP Lemma. This parameterization is a convex inner-approximation of the whole non-convex set of stabilizing controll ...

2007

Data-Driven Estimation of the Infinity Norm of a Dynamical System

Dominique Bonvin, Alireza Karimi, Klaske van Heusden

The estimation of a system’s infinity norm using one set of measured input and output data is investigated. It is known that, if the data set is noise free, this problem can be solved using convex optimization. In the presence of noise, convergence of this ...

2007

Robust Control of Polytopic Systems by Convex Optimization

Alireza Karimi, Roland Longchamp, Hamid Khatibi

Robust control synthesis of linear time-invariant SISO polytopic systems is investigated using the polynomial approach. A convex set of all stabilizing controllers for a polytopic system is given over an infinite-dimensional space. A finite-dimensional app ...

2007

Robust Control of Polytopic Systems by Convex Optimization

Alireza Karimi, Roland Longchamp, Hamid Khatibi

Robust control synthesis of linear time-invariant SISO polytopic systems is investigated using the polynomial approach. A convex set of all stabilizing controllers for a polytopic system is given over an infinite-dimensional space. A finite-dimensional app ...

2007

A geometric framework for solving subsequence problems in computational biology efficiently

Friedrich Eisenbrand

In this paper, we introduce the notion of a constrained Minkowski sumwhich for two (finite) point-sets P,Q R2 and a set of k inequalities Ax b is defined as the point-set (P Q)Ax b= x = p+q | P, q Q, Ax b. We show that typical subsequ ...

ACM2007

Inclusions différentielles et problèmes variationnels

Ana Margarida Fernandes Ribeiro

In this thesis we deal with three different but connected questions. Firstly (cf. Chapter 2) we make a systematic study of the generalized notions of convexity for sets. We study the notions of polyconvex, quasiconvex and rank one convex set. We remark tha ...

EPFL2006

Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs

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Fast hard thresholding with Nesterov's gradient method

Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry

Robust fixed-order H infinity Controller Design for Spectral Models by Convex Optimization

Real-time suboptimal model predictive control using a combination of explicit MPC and online optimization

Robust Pole Placement of Systems with Polytopic Uncertainty Via Convex Optimization

Data-Driven Estimation of the Infinity Norm of a Dynamical System

Robust Control of Polytopic Systems by Convex Optimization

Robust Control of Polytopic Systems by Convex Optimization

A geometric framework for solving subsequence problems in computational biology efficiently

Inclusions différentielles et problèmes variationnels

Real-time suboptimal model predictive control using a combination of explicit MPC and online optimization

Fast hard thresholding with Nesterov's gradient method

Robust fixed-order H infinity Controller Design for Spectral Models by Convex Optimization

Robust Pole Placement of Systems with Polytopic Uncertainty Via Convex Optimization

Data-Driven Estimation of the Infinity Norm of a Dynamical System

Robust Control of Polytopic Systems by Convex Optimization

Robust Control of Polytopic Systems by Convex Optimization

Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry

A geometric framework for solving subsequence problems in computational biology efficiently

Inclusions différentielles et problèmes variationnels