Discrete-time static H∞ loop shaping control for LPV systems
- 1 July 2017
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 619-624
Abstract
In this paper a discrete-time static H ∞ loop shaping control method for linear parameter-varying (LPV) systems is presented. The formulation aims to find a static parameter dependent stabilizing controller which yields guaranteed performance. Using quadratic H ∞ performance, a set of sufficient conditions is provided in a two-step LMI (Linear Matrix Inequality) approach. The first step consists in an extension of the left coprime factorization for discrete-time LPV systems, in which a particular H ∞ filtering problem is solved. In the second step, sufficient conditions for the solution of the static H ∞ loop shaping control problem are provided. Besides considering parameter dependency, these conditions also include nonparametric uncertainties, resulting in more robust closed-loop systems. The effectiveness of the method is illustrated with a numerical example.Keywords
This publication has 24 references indexed in Scilit:
- Discrete-time static H ∞ loop shaping control via LMIsJournal of the Franklin Institute, 2017
- ${H_\infty }$ H ∞ Loop Shaping Control Under Parametric and Nonparametric Uncertainties: A Case StudyJournal of Control, Automation and Electrical Systems, 2016
- Design of gain-scheduled controllers based on parametric H∞ loop shapingInternational Journal of Modelling, Identification and Control, 2015
- Recent Advances in Static Output-Feedback Controller Design with Applications to Vibration Control of Large StructuresModeling, Identification and Control: A Norwegian Research Bulletin, 2014
- and performance analysis and gain-scheduling synthesis for parameter-dependent systemsAutomatica, 2008
- Design of Static H8 Linear Parameter Varying Controllers for Unmanned AircraftJournal of Guidance, Control, and Dynamics, 2007
- On Coprime factors for Parameter-Dependent Systems2006
- Static loop shaping control of a fly-by-wire helicopterAutomatica, 2005
- Survey of gain-scheduling analysis and designInternational Journal of Control, 2000
- A loop-shaping design procedure using H/sub infinity / synthesisIEEE Transactions on Automatic Control, 1992