Gain-scheduled H-infinity controller synthesis for LPV systems subject to multiplicative noise

Author(s)

Levano, Elmer ; Oliveira, Ricardo C. L. F. ; Vargas, Alessandro

• Document type: Journal article
• Source: IFAC PAPERSONLINE; v. 53, n. 2, p. 6-pg., 2020-01-01.

Abstract

This paper proposes LMI conditions to design parameter-dependent (i.e. gain-scheduled) state-feedback controllers that ensure closed-loop stability with guaranteed H-infinity performance for both continuous and discrete-time LPV systems with state multiplicative noise. The state-space matrices and the multiplicative noise matrix are considered polytopic and independent. The time-varying parameters can be considered time-invariant, arbitrarily fast or with bounded rates of variation. The advantages of the proposed technique are illustrated by numerical examples borrowed from the literature. Copyright (C) 2020 The Authors. (AU)

• FAPESP's process: 17/18785-5 - Parameter-Dependent Linear Matrix Inequalities Applied to Stability Analysis and Synthesis of Controllers and Filters for Uncertain Dynamic Systems
• Grantee: Pedro Luis Dias Peres
• Support Opportunities: Regular Research Grants