A Semidefinite Programming Approach for Control of Systems Along Trajectories

The second approach amounts to parametrizing the system equations about the trajectory, resulting in a nonstationary linear parameter-varying (NLPV) model, and then constructing an NLPV synthesis. Synthesis conditions are derived for NLPV systems using an operator theoretic framework with the ℓ 2-induced norm as the performance measure. These conditions are given in terms of structured operator inequalities. In general, evaluating the validity of these conditions is an infinite dimensional convex optimization problem; however, if the initial system is eventually periodic, they reduce to a finite dimensional semidefinite programming problem. Also, we give systematic approaches for the model reduction of stable as well as stabilizable NLPV models, along with means for evaluating the error resulting from the reduction process.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mechanical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Farhood, Mazen Habib

Contributors dc:contributor

• Dullerud, Geir E.

• Engineering, Mechanical

Language dc:language

eng

Identifier

(MiAaPQ)AAI3202090

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/83839