Controller reduction for linear parameter-varying systems with a priori bounds

Authors:
Imad M. Jaimoukha;Haitham El-Zobaidi;David J. N. Limebeer;Nilay Shah
Affiliations:
Control and Power Group, Department of Electrical and Electronic Engineering, Imperial College, London SW7 2BT, UK;Control and Power Group, Department of Electrical and Electronic Engineering, Imperial College, London SW7 2BT, UK;Control and Power Group, Department of Electrical and Electronic Engineering, Imperial College, London SW7 2BT, UK;Department of Chemical Engineering and Centre for Process Systems Engineering, Imperial College, London SW7 2BY, UK
Venue:
Automatica (Journal of IFAC)
Year:
2005

Citing 5
Cited 1

Minimum entropy H∞ control

Minimum entropy H∞ control
Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback

Systems & Control Letters
Connection of multiplicative/relative perturbation in coprime factors and gap metric uncertainty

Automatica (Journal of IFAC)
Robust Controller Design Using Normalized Coprime Factor Plant Descriptions

Robust Controller Design Using Normalized Coprime Factor Plant Descriptions
Paper: Relative/multiplicative model reduction for unstable and non-minimum-phase systems

Automatica (Journal of IFAC)

Robust SISO controller order reduction

ACC'09 Proceedings of the 2009 conference on American Control Conference

Quantified Score

Hi-index	22.14

Visualization

Abstract

In this paper we develop a controller reduction procedure for linear parameter-varying (LPV) systems. The method uses synthesis Riccati inequalities for the normalized robust stabilization problem as a basis for the approximation. The technique provides a priori error bounds which are used to obtain closed-loop stability conditions and performance degradation level. We also generalize the relative model reduction method to LPV systems and give an energy interpretation to the controller reduction procedure. To illustrate the method, a reduced order controller is synthesized and tested on a nonlinear missile model.