Reconciling Full-Order LPV Design and Augmented Structured ℋ∞ via Internal Model Principle: a Launch Vehicle Application *

This article presents an indirect method to characterize a wind disturbance internal model that can be used to augment the capabilities of a classical controller structure for the atmospheric-phase thrust vector control (TVC) system of the VEGA launcher. This characterization is based on a comparison between a structured ℋ∞ and a full-order LPV controller with better performance levels. The identified wind model is then explicitly employed to re-design the structured ℋ∞ controller in order to achieve similar levels as the full-order LPV controller. This design reconciles the current VEGA control system architecture with the internal model principle, which states that a controller must have structural features to contain the internal model of the signal to be controlled. The effect of this new controller structure is analysed in terms of robust stability and performance using the singular structured value µ technique. The results show that embedding the internal model structure in the control system provides an extra degree of freedom to improve the launcher performance against wind gusts.

[1]  Bruce A. Francis,et al.  The internal model principle of control theory , 1976, Autom..

[2]  Peter J Seiler,et al.  LPVTools: A Toolbox for Modeling, Analysis, and Synthesis of Parameter Varying Control Systems ? , 2015 .

[3]  Andres Marcos,et al.  LPV modelling and LFT Uncertainty Identification for Robust Analysis: application to the VEGA Launcher during Atmospheric Phase , 2015 .

[4]  J. Doyle,et al.  Review of LFTs, LMIs, and mu , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[5]  R. F. Hoelker THEORY OF ARTIFICIAL STABILIZATION OF MISSILES AND SPACE VEHICLES WITH EXPOSITION OF FOUR CONTROL PRINCIPLES , 1961 .

[6]  Andrés Marcos,et al.  Flight testing of an structured H-infinity controller: An EU-Japan collaborative experience , 2017, 2017 IEEE Conference on Control Technology and Applications (CCTA).

[7]  Andres Marcos,et al.  Linear Parameter Varying Control Synthesis for the atmospheric phase VEGA launcher , 2018 .

[8]  David Saussié,et al.  Self-scheduled and structured H⋡ synthesis : A launch vehicle application , 2013, 2013 American Control Conference.

[9]  M. Ganet-Schoeller,et al.  Structured Control for Future European Launchers , 2017 .

[10]  Hyungbo Shim,et al.  Yet another tutorial of disturbance observer: robust stabilization and recovery of nominal performance , 2016, ArXiv.

[11]  Christelle Pittet,et al.  Systematic design methods of robust and structured controllers for satellites , 2015 .

[12]  Andres Marcos,et al.  Joint robust structured design of VEGA launcher’s rigid-body controller and bending filter , 2018 .

[13]  Pedro Simplicio,et al.  Structured Singular-Value Analysis of the Vega Launcher in Atmospheric Flight , 2016 .

[14]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .

[15]  Pierre Apkarian,et al.  Structured H∞ Synthesis in MATLAB , 2011 .