Robustness Analysis with Real Parametric Uncertainty

7.1 Motivations and Preliminaries 7-1 Motivating Example: DC Electric Motor with Uncertain Parameters 7.2 Description of the Uncertainty Structures ........7-3 7.3 Uncertainty Structure Preservation with Feedback 7-4 7.4 Overbounding with Affine Uncertainty: The Issue of Conservatism 7-5 7.5 Robustness Analysis for Affine Plants 7-7 Value Set Construction for Affine Plants • The DC-Electric Motor Example Revisited 7.6 Robustness Analysis for Affine Polynomials ..7-10 Value Set Construction for Affine Polynomials • Example of Value Set Generation • Interval Polynomials: Kharitonov’s Theorem and Value Set Geometry • From Robust Stability to Robust Performance • Algebraic Criteria for Robust Stability • Further Extensions: The Spectral Set 7.7 Multiaffine Uncertainty Structures 7-14 7.8 General Uncertainty Structures and Controller Synthesis 7-16 References 7-17 Roberto Tempo IEIIT−CNR Politecnico di Torino

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