Northwestern Events Calendar

Feb
2
2023

Complex Systems Seminar: Marian Anghel: "Distributed Stability Analysis and Control of Dynamic Networks"

When: Thursday, February 2, 2023
2:00 PM - 3:00 PM CT

Where: Online

Audience: Faculty/Staff - Student - Post Docs/Docs - Graduate Students

Contact: Joan West   (847) 491-3645

Group: Physics and Astronomy Complex Systems Seminars

Category: Academic

Description:

Recently, sum-of-squares (SOS) based methods have been used for the stability analysis and control synthesis of polynomial dynamical systems. This analysis framework was also extended to non-polynomial dynamical systems, including power systems, using an algebraic reformulation technique that recasts the system’s dynamics into a set of polynomial differential algebraic equations. Nevertheless, for large scale dynamical systems this method becomes inapplicable due to its computational complexity. For this reason, we develop a subsystem-based stability analysis approach using vector Lyapunov functions and introduce a parallel and scalable algorithm to infer the stability of the interconnected system with the help of the subsystem Lyapunov functions. Furthermore, we design adaptive and distributed control laws that guarantee asymptotic stability under a given external disturbance. Finally, we apply this algorithm for the stability analysis and control synthesis of a network preserving power system. 

Marian Anghel, Los Alamos National Laboratory

Host: Adilson Motter

*This seminar will be held online via Zoom

Add to Calendar

Add Event To My Group:

Please sign-in