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Analysis and design of quadratic parameter varying (QPV) control systems with polytopic attractive region
Authors:Damiano Rotondo  Tor Arne Johansen
Institution:1. Center for Autonomous Marine Operations and Systems (NTNU-AMOS), Department of Engineering Cybernetics, Norwegian University of Science and Technology, Trondheim, Norway;2. Research Center for Supervision, Safety and Automatic Control (CS2AC), Universitat Politècnica de Catalunya (UPC), Terrassa, Spain
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.
Keywords:Corresponding author at: Research Center for Supervision  Safety and Automatic Control (CS2AC)  Universitat Politècnica de Catalunya (UPC)  Terrassa  Spain  
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