Analysis and design of quadratic parameter varying (QPV) control systems with polytopic attractive region. Issue 8 (May 2018)

• Record Type: Journal Article
• Authors: Rotondo, Damiano; Johansen, Tor Arne
• Is Part Of: Journal of the Franklin Institute. Volume 355:Issue 8(2018)
• Page Start: 3488
• Page End: 3507
• Publication Date: 2018-05
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2018.01.046
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper proposes a gain-scheduling approach for systems with a quadratic structure. Both the stability analysis and the state-feedback controller design problems are considered for quadratic parameter varying (QPV) systems. The developed approach assesses/enforces the belonging of a polytopic region of the state space to the region of attraction of the origin, and relies on a linear matrix inequality (LMI) feasibility problem. The main characteristics of the proposed approach are illustrated by means of examples, which confirm the validity of the theoretical results.