Mixed  H  2 / H   ∞   control of synchronization for coupled partial differential systems | Zendy

Wu KaiNing | Zendy; Wang Jian | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Mixed H 2 / H ∞ control of synchronization for coupled partial differential systems

Author(s) -

Wu KaiNing,

Wang Jian

Publication year - 2016

Publication title -

international journal of robust and nonlinear control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.361

H-Index - 106

eISSN - 1099-1239

pISSN - 1049-8923

DOI - 10.1002/rnc.3722

Subject(s) - synchronization (alternating current) , observer (physics) , control theory (sociology) , mathematics , differential (mechanical device) , partial differential equation , riccati equation , computer science , control (management) , mathematical analysis , topology (electrical circuits) , physics , combinatorics , quantum mechanics , artificial intelligence , thermodynamics

Summary In this paper, we address the mixed H 2 / H ∞ synchronization control for the coupled partial differential systems. First, we introduce the synchronization error dynamics and transform the problem of mixed H 2 / H ∞ synchronization control of coupled partial differential systems into the problem of mixed H 2 / H ∞ stabilization of the synchronization error dynamics. Then, both the finite and infinite horizon cases for the mixed H 2 / H ∞ synchronization control are considered. Sufficient conditions guaranteeing the existence of the solutions to the mixed H 2 / H ∞ synchronization control problem are given via a standard completing square technique. When the states of the synchronization error systems are unavailable, the Lunberger observer is designed, and the observer‐based mixed H 2 / H ∞ synchronization problem is investigated. Based on the solutions to the coupled differential Riccati equations, the optimal control for the observer‐based mixed H 2 / H ∞ synchronization control is presented. One more time, both the finite and infinite horizon cases are studied under the observer situation. Copyright © 2016 John Wiley & Sons, Ltd.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research