Hamilton-Jacobi-Bellman equation and feedback synthesis for impulsive control

• Type: Article in International Scientific Journal
• Date: 2010

Authors

Sérgio Loureiro Fraga (Author) FEUP; Fernando Lobo Pereira (Author) FEUP

Journal

Title: IEEE Transactions on Automatic Control

Vol. 57 No. 1

Pages: 244 -249

ISSN: 0018-9286

Publisher: IEEE

Indexing

ISI Web of Science

Scopus

COMPENDEX

INSPEC

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

Other information

DOI: 10.1109/TAC.2011.2167822

Abstract (EN): There is an increasing number of applications whose trajectories are better modeled by discontinuous or impulsive trajectories. Thus, we explore optimality conditions for impulsive control system expressed in terms of an Hamilton-Jacobi-Bellman equation. We use a measure driven differential inclusion to model the impulsive behavior since it provides a formal framework in which the control space is complete. Additionally, we use the impulsive Euler solution and invariance results to derive feedback optimal control synthesis.

Language: English

Type (Professor's evaluation): Scientific

Notes: Accepted in Nov.2010