New Results on Nonlinear H-Control via Measurement Feedback

  • Alberto Isidori
Conference paper
Part of the Annals of the International Society of Dynamic Games book series (AISDG, volume 1)


In the last few years, the solution of the H (sub)optimal control problem via state-space methods was developed by several authors (see, e.g. the prize-winning paper [1], the theses [2] [3] and the recent paper [4]). In the state-space formulation, the problem of minimizing the H norm (or, equivalently, the L 2gain) of a closed loop system is viewed as a two-person, zero sum, differential game and, thus, the existence of the desired controller can be related to the existence of a solution of the algebraic Riccati equations arising in linear quadratic differential game theory (see, e.g. [5], [6] and [7]).


Attenuation Rium Decis Doyle 


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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Alberto Isidori
    • 1
    • 2
  1. 1.Departement of Computer and Systems ScienceUniversità di Roma “La Sapienza”RomeItaly
  2. 2.Department of Systems Sciences and MathematicsWashington UniversitySt. LouisUSA

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