Brief paper: L2 and H2 performance analysis and gain-scheduling synthesis for parameter-dependent systems

Authors:
Emmanuel Prempain;Ian Postlethwaite
Affiliations:
Control and Instrumentation Group, Department of Engineering, University of Leicester, Leicester LE1 7RH, UK;Control and Instrumentation Group, Department of Engineering, University of Leicester, Leicester LE1 7RH, UK
Venue:
Automatica (Journal of IFAC)
Year:
2008

Citing 6
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Abstract

This paper focuses on quadratic performance analysis and output feedback gain-scheduling synthesis for parameter-dependent systems with linear fractional representations (LFRs). New quadratic H"2 and L"2 performance analysis results based on full-block multipliers are given. A novel gain-scheduling output feedback synthesis, which can be regarded as a natural extension of the loop shaping design procedure of McFarlane and Glover to parameter-dependent systems, is proposed. This gain-scheduling technique is computationally attractive and yields a simple and transparent control structure that can be easily implemented. Its effectiveness is illustrated on a benchmark missile autopilot example.