A General Framework for Robust Analysis and Control : an Integral Quadratic Constraint Based Approach.

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Veenman, Joost
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin : Logos Verlag Berlin, 2015.
Temas:
Robust control.
Commande robuste.
Robust control
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Intro; 1 Introduction; 1.1 Motivation; 1.1.1 Robust analysis; 1.1.2 Robust control; 1.2 Aim and main goals of the thesis; 1.3 Outline and contributions; 2 Stability analysis with integral quadratic constraints; 2.1 Introduction; 2.2 A specific feedback interconnection; 2.3 Stability analysis with integral quadratic constraints; 2.4 Robust stability and performance analysis; 2.4.1 Robust stability analysis; 2.4.2 Robust performance analysis; 2.4.3 Mixed uncertainties; 2.5 From infinite to finite dimensional feasibility tests; 2.5.1 Parameterizing IQCs; 2.5.2 The KYP Lemma.
  • 2.6 IQC-multipliers for uncertainties and nonlinearities2.6.1 Uncertain LTI dynamics; 2.6.2 Arbitrarily fast time-varying parametric uncertainties; 2.6.3 Time-invariant parametric uncertainties; 2.6.4 Rate-bounded time-varying parametric uncertainties; 2.6.5 Time-delay uncertainties; 2.6.6 Passive uncertainties/nonlinearities; 2.6.7 Norm-bounded uncertainties/nonlinearities; 2.6.8 Sector bounded and slope-restricted nonlinearities; 2.6.9 Popov multipliers; 2.7 IQC-multipliers for performance; 2.7.1 Induced L2-gain performance; 2.7.2 Passivity performance; 2.7.3 Quadratic performance.
  • 2.7.4 H2-performance2.7.5 Dynamic generalized quadratic-performance; 2.8 Further connections and possibilities; 2.8.1 Connection to the Îơ-theory; 2.8.2 Alternative computational methods; 2.8.3 Discrete-time systems; 2.8.4 Further possibilities; 2.9 Illustrations; 2.9.1 Robustness analysis of an estimator; 2.9.2 Robustness analysis of a helicopter; 2.10 An alternative proof of the IQC-theorem; 2.10.1 Preparations; 2.10.2 Key difficulties to resolve; 2.10.3 A novel reformulation of the IQC-theorem; 2.10.4 The proof; 2.10.5 Outline and possibilities; 2.11 Chapter summary.
  • 3 From analysis to synthesis3.1 Introduction; 3.2 Robust controller synthesis; 3.3 Gain-scheduled controller synthesis; 3.4 Robust gain-scheduled controller synthesis; 3.5 Preparations; 3.6 Nominal controller synthesis; 3.7 Nominal gain-scheduled controller synthesis; 3.8 Outline of further possible configurations; 3.8.1 Robust gain-scheduled estimation; 3.8.2 Another general synthesis framework; 3.8.3 General IQC-synthesis; 3.9 Chapter summary; 4 Robust gain-scheduled estimation; 4.1 Introduction; 4.2 The robust gain-scheduled estimation problem; 4.3 Robust stability and performance analysis.
  • 4.4 From analysis to synthesis4.4.1 A characterization of nominal stability; 4.4.2 Reformulation of the analysis LMIs; 4.5 A convex solution; 4.6 Illustrations; 4.7 Chapter summary; 5 Another general synthesis framework; 5.1 Introduction; 5.2 A generic feasibility problem; 5.3 A convex solution; 5.3.1 Analysis; 5.3.2 Synthesis; 5.4 Robust gain-scheduling control for systems without control-channel uncertainties; 5.5 Concrete applications; 5.5.1 Generalized L2-synthesis; 5.5.2 Multi-objective and structured controller synthesis; 5.5.3 Robust gain-scheduled observer design.

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