Mixed-sensitivity L-2 controller synthesis for discrete-time LPV/LFR systems

Author(s)

Pereira, Renan L. ; de Oliveira, Matheus S.

• Document type: Journal article
• Source: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS; v. 359, n. 2, p. 24-pg., 2022-01-20.

Abstract

This paper presents novel control procedure to obtain a mixed-sensitivity L-2 controller for discrete-time linear parameter-varying (LPV) systems using a linear fractional representation (LFR). The proposed method makes use of parameter-dependent Lyapunov functions in combination with static full-block multipliers and slack variables to provide less conservative results than other existing control strategies. The distinctive controller is established from an observer-based control structure, where observer and state-feedback synthesis are derived. Moreover, both H-2 and L-2 performances indexes are addressed and some insights about factorization contractiveness are explored. The output feedback controller is given through a two-step synthesis and its design conditions are addressed in terms of a finite number of linear matrix inequalities. Finally, two numerical examples are carried out to show the effectiveness of the proposed control method. (C) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. (AU)

• FAPESP's process: 19/20960-5 - LPV control design for active flutter suppression in flexible aircraft
• Grantee: Renan Lima Pereira
• Support Opportunities: Scholarships abroad - Research