Attenuation of Disturbances in Nonlinear Control Systems

  • Alberto Isidori
Chapter
Part of the Progress in Systems and Control Theory book series (PSCT, volume 12)

Abstract

In the last few years, the solution of the H (sub)optimal control problem via state-space methods was developed by several authors (for a rather comprehensive coverage of this subject the reader may consult the paper [1] and the theses [2] [3]). In the state-space formulation, the problem of minimizing the H norm (or, equivalently, the L 2 gain) 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. [4], [5] and [6]).

Keywords

Nonlinear System Hamiltonian System Close Loop System Invariant Manifold Differential Game 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Alberto Isidori
    • 1
    • 2
  1. 1.Dipartimento di Informatica e SistemisticaUniversità di Roma “La Sapienza”RomaItaly
  2. 2.Department of Systems Science and MathematicsWashington UniversitySt. LouisUSA

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