An efficient solution to multi-objective control problems with LMI objectives

DOI10.1016/S0167-6911(99)00122-XzbMath0977.93031WikidataQ126296945 ScholiaQ126296945MaRDI QIDQ1575298

Carsten W. Scherer

Publication date: 21 August 2000

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

convex optimizationlinear matrix inequalitiesYoula parameterizationmulti-objective controlmixed controlobserver-based controllers

Mathematics Subject Classification ID

Related Items (14)

Revisiting and generalizing the dual iteration for static and robust output‐feedback synthesis ⋮ Structured \(H_\infty\)-optimal control for nested interconnections: a state-space solution ⋮ Periodically time-varying controller synthesis for multiobjective \(H_2/H_\infty\) control of discrete-time systems and analysis of achievable performance ⋮ Robust generalized asymptotic regulation against non-stationary sinusoidal disturbances with uncertain frequencies ⋮ Multichannel synthesis problems for anisotropic control ⋮ Improvement of the LMI change of variables for multi‐objective control design problems ⋮ Research on quality performance conceptual design based on SPEA2+ ⋮ Mixed control design: Numerical optimization approaches ⋮ Robust output feedback control against disturbance filter uncertainty described by dynamic integral quadratic constraints ⋮ In between the \(LQG/H_2\)- and \(H_{\infty } \)-control theories ⋮ Invariant sets techniques for Youla–Kučera parameter synthesis ⋮ Linear matrix inequalities and evolutionary optimization in multiobjective control ⋮ A robust deconvolution scheme for fault detection and isolation of uncertain linear systems: an LMI approach ⋮ Structured finite-dimensional controller design by convex optimization

Uses Software

• QDES

Cites Work

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• Computing the estimator-controller form of a compensator
• LQG control with an H/sup infinity / performance bound: a Riccati equation approach
• Mixed H/sub 2//H/sub infinity / control: a convex optimization approach
• LMI-based controller synthesis: a unified formulation and solution
• Linear Matrix Inequalities in System and Control Theory
• Multiobjective output-feedback control via LMI optimization
• Multiobjective H/sub 2//H/sub ∞/ control

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