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A descent algorithm for the optimal control of constrained nonlinear switched dynamical systems

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he problem of designing real-time traffic signal control strategies for large-scale congested urban road networks via suitable application of control and optimization methods is considered. Three alternative methodologies are proposed, all based on the sto ...

IEEE2007

In this thesis, we focus on standard classes of problems in numerical optimization: unconstrained nonlinear optimization as well as systems of nonlinear equations. More precisely, we consider two types of unconstrained nonlinear optimization problems. On t ...

EPFL2007

The aim of this dissertation is to solve numerically the following problem, denoted by P : given a Riemannian manifold and two points a and b belonging to that manifold, find a tangent vector T at a, such that expa(T) = b, assuming that T exists. This prob ...

EPFL2007

Superstabilizing, Fault-containing Multiagent Combinatorial Optimization

Boi Faltings

Self stabilization in distributed systems is the ability of a system to respond to transient failures by eventually reaching a legal state, and maintaining it afterwards. This makes such systems particularly interesting because they can tolerate faults, an ...

2005

Modified fixed point algorithm in fluid–structure interaction

Fabio Nobile, Simone Deparis, Luca Formaggia

In this work, we address the numerical solution of some non-linear problems arising in the time discretization of fluid–structure interaction problems with fully implicit schemes. At each time step, we have to solve a highly non-linear coupled system, sinc ...

2003

Moving Horizon Estimation for Piecewise Affine Systems

Giancarlo Ferrari Trecate

Many practical control, estimation and fault detection problems involve hybrid systems, here losely defined as systems involving both continuous and discrete variables. Various approaches have been proposed for modeling hybrid systems. Often engineering sy ...

2000

We develop an algorithm for the solution of indefinite least-squares problems. Such problems arise in robust estimation, filtering, and control, and numerically stable solutions have been lacking. The algorithm developed herein involves the QR factorizatio ...

Society for Industrial and Applied Mathematics1998

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We consider the numerical approximation of a risk-averse optimal control problem for an elliptic partial differential equation (PDE) with random coefficients. Specifically, the control function is a deterministic, distributed forcing term that minimizes th ...

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