Publications related to Robust Pole Placement of Systems with Polytopic Uncertainty Via Convex Optimization

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

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 control ...

2008

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 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

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

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

Finding minimum area simple pentagons

Thomas Liebling, Jean-François Hêche

Given a set P of n points in the plane, we want to find a simple, not necessarily convex, pentagon Q with vertices in P of minimum area. We present an algorithm for solving this problem in time O(nT(n)) and space O(n) , where T(n) is the number of empty tr ...

1997

Robust Pole Placement of Systems with Polytopic Uncertainty Via Convex Optimization

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

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 Control of Polytopic Systems by Convex Optimization

Robust Control of Polytopic Systems by Convex Optimization

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

A geometric framework for solving subsequence problems in computational biology efficiently

Inclusions différentielles et problèmes variationnels

Finding minimum area simple pentagons

A geometric framework for solving subsequence problems in computational biology efficiently

Inclusions différentielles et problèmes variationnels

Robust Control of Polytopic Systems by Convex Optimization

Robust Control of Polytopic Systems by Convex Optimization

Finding minimum area simple pentagons

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

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

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

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