PID and PID-like controller design by pole assignment within D-stable regions

This paper presents a new PID and PID-like controller design method that permits the designer to control the desired dynamic performance of a closed-loop system by first specifying a set of desired D-stable regions in the complex plane and then running a numerical optimisation algorithm to find the controller parameters such that all the roots of the closed-loop system are within the specified regions. This method can be used for stable and unstable plants with high order degree, for plants with time delay, for controller with more than three design parameters, and for various controller configurations. It also allows a unified treatment of the controller design for both continuous and discrete systems. Examples and comparative simulation results are pro-vided to illustrate its merit

Two dimensional foam rheology with viscous drag

We formulate and apply a continuum model that incorporates elasticity, yield stress, plasticity and viscous drag. It is motivated by the two-dimensional foam rheology experiments of Debregeas et al. [G. Debregeas, H. Tabuteau, and J.-M. di Meglio, Phys. Rev. Lett. 87, 178305 (2001)] and Wang et al [Y. Wang, K. Krishan, and M. Dennin, Phys. Rev. E 73, 031401 (2006)], and is successful in exhibiting their principal features an exponentially decaying velocity profile and strain localisation. Transient effects are also identified.Comment: accepted version (to appear in PRL). Some parts of the paper have been rewritten (mainly introduction and final discussion

Yinuo Wang, Piano

Sonata in E minor, Op. 90 / Ludwig van Beethoven; Canon in D minor; Prelude in F-sharp minor, Op. 23, No. 1; Daisies, Op. 38, No. 3; Prelude in D minor, Op. 23, No. 3; Prelude in B minor, Op. 32, No. 10; Prelude in G-flat major, Op. 23, No. 10; Etude in D minor, Op. 39, No. 8; Etude in D major, Op. 39, No. 9; Rhapsody on a Theme of Paganini / Sergei Rachmaninof

Chao Wang, Flute

Introduction and Variations, D. 802 / Franz Schubert; Hamburger Sonata in G major / Carl Philippe Emanuel Bach; Sonata in D major, for flute and piano Opus 94 / Sergei Prokofie