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Multiobjective control design is known to be a difficult problem both in theory and practice. Our approach is to search for locally optimal solutions of a nonsmooth optimization problem that is built to incorporate minimization objectives and constraints for multiple plants. We report on the success of this approach using our public-domain matlab toolbox… (More)
– To my Grandfather, my main inspiration – To Fitzgerald, my main relaxation iii Abstract Burke et al. , introduced the Matlab package Hifoo (H-Infinity Fixed Order Optimization) in 2006 with the main goal of providing a powerful, yet user-friendly tool for computing reduced-order controllers of linear systems. Built upon powerful methods for non-convex… (More)
We show that, for any rotationally symmetric projection with a single virtual viewpoint, it is possible to design a two-mirror rotationally symmetric system that realizes the projection exactly. These mirror pairs are derived from two coupled differential equations. We give examples in which the projections from the sphere at infinity are stereographic,… (More)
— We report on our experience with strong stabilization using HIFOO, a toolbox for H ∞ fixed-order controller design. We applied HIFOO to 21 fixed-order stable H ∞ controller design problems in the literature, comparing the results with those published for other methods. The results show that HIFOO often achieves good H ∞ performance with low-order stable… (More)
— This paper presents an extension of the HIFOO toolbox for Matlab for fixed-structure and fixed-order H ∞ controller design to discrete-time controller design. The approach is applied to a restricted complexity controller synthesis problem for an active suspension system.
In web transport systems, the main concern is to control independently speed and tension in spite of perturbations such as radius variations and changes of setting point. This paper presents the application of nonsmooth nonconvex optimization techniques to design centralized fixed order and decentralized fixed order and fixed structure H ∞ controllers with… (More)
The combination of ever increasing computational power and new mathematical models has fundamentally changed the field of computational chemistry. One example of this is the use of new algorithms for computing the charge density of a molecular system from which one can predict many physical properties of the system. This thesis presents two new algorithms… (More)