Get Free Shipping on orders over $79
Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems - Graziano Chesi

Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems

By: Graziano Chesi, Andrea Garulli, Alberto Tesi, Antonio Vicino

eText | 13 July 2009

At a Glance

eText


$189.00

or 4 interest-free payments of $47.25 with

 or 

Instant online reading in your Booktopia eTextbook Library *

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.
This book presents a number of techniques for robustness analysis of uncertain systems. The theoretical basis for their development is derived from the application of convex optimization tools to problems involving positivity of homogeneous polynomial forms. Usually, stability and performance analysis of dynamic systems affected by structured uncertainties, requires the solution of non-convex optimization problems. Constructing a family of convex relaxations, namely convex optimisations, can provide upper or lower bound to the original problem. In this book convex relaxations for several robustness problems are derived by exploiting and providing new results on the theory of homogeneous polynomial forms. A framework is introduced for dealing with positivity of homogeneous forms via the solution of linear matrix inequalities, with examples including Lyapunov analysis of uncertain systems, computation of the parametric robust stability margin, and robust performance analysis for polytopic systems.
on
Desktop
Tablet
Mobile

More in Automatic Control Engineering

Smarter You With AI - Dr. Gurudas Bandyopadhyay

eBOOK