Improved H-2 and L-2 control designs for discrete-time LPV/LFR systems

Author(s)

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

• Document type: Journal article
• Source: International Journal of Control; v. N/A, p. 11-pg., 2022-05-03.

Abstract

This paper addresses novel H-2 and L-2 norm-based controller designs for discrete-time linear parameter-varying (LPV) systems with linear fractional representation (LFR). Despite the importance of LPV/LFR systems to the control literature, there is a lack of works on this topic. The distinctive formulation of the proposed controller designs is given by using parameter-dependent Lyapunov functions in combination with slack variables and general full-block multipliers. Such proposed formulation leads to less conservative synthesis conditions characterised in terms of a finite number of linear matrix inequalities for both state-feedback and static output-feedback controllers subject to H-2 and L-2 performances for discrete-time LPV/LFR systems. Improvements obtained by the proposed controller design conditions over existing methods in the area are assessed by numerical examples. (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