Feedback Design for Robust Global Stability

  • Alberto Isidori
Part of the Communications and Control Engineering book series (CCE)


The purpose of this Chapter is to describe some important tools for the design of feedback laws which globally asymptotically stabilize a nonlinear system in the presence of parameter uncertainties. We consider the case in which the mathematical model of the system to be controlled depends on a vector μ ∈ ℝ p of parameters, which are assumed to be constant, but whose actual values are unknown to the designer. The vector µ of unknown parameters could be any vector in some a priori given set \( \mathcal{P} \), and the goal of the design is to find a feedback law (obviously independent of μ) which globally asymptotically stabilizes the system for each value of \( \mu \in \mathcal{P} \). A problem of this type is usually referred to as a problem of robust stabilization.


Normal Form Output Feedback Robust Stabilization Negative Real Part Positive Definite Function 
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Copyright information

© Springer-Verlag London 1999

Authors and Affiliations

  • Alberto Isidori
    • 1
  1. 1.Dipartimento di Informatica e SistemisticaUniversità di Roma “La Sapienza”RomeItaly

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