Abstract
A brief survey on the numerical properties of the methods for ${\cal H}_\infty$ design and μ-analysis and synthesis of linear control systems is given. A new approach to the sensitivity analysis of LMI – based ${\cal H}_\infty$ design is presented that allows to obtain linear perturbation bounds on the computed controller matrices. Some results from a detailed numerical comparison of the properties of the different available ${\cal H}_\infty$ optimization methods are then presented. We also discuss the sensitivity of the structured singular value (μ) that plays an important role in the robust stability analysis and design of linear control systems.
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