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Introduction

  • Leonid Fridman
  • Alexander Poznyak
  • Francisco Javier Bejarano
Chapter
Part of the Systems & Control: Foundations & Applications book series (SCFA)

Abstract

Robust control is a branch of modern control theory that explicitly deals with uncertainty in its approach to controller design. Robust control methods are designed to function properly so long as uncertain parameters or disturbances are within some (typically compact) set. Robust methods aim to achieve robust performance and/or stability in the presence of bounded modelling errors. The classical control design, based on the frequency domain methodology, was fairly robust; the state-space methods invented in the 1960s and 1970s were sometimes found to lack robustness [1], prompting research to improve them. This was the start of the theory of robust control, which took shape in the 1980s and 1990s and is still active today. In contrast with an adaptive control policy, a robust control policy is static; rather than adapting to measurements of variations, the controller is designed to work assuming that certain variables will be unknown but, for example, bounded [2, 3].

Keywords

Robust Control Slide Mode Control Slide Mode Controller Nominal Trajectory Initial Time Moment 
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 2014

Authors and Affiliations

  • Leonid Fridman
    • 1
  • Alexander Poznyak
    • 2
  • Francisco Javier Bejarano
    • 3
  1. 1.Departamento de Ingeniería de Control y RobóticaUniversidad Nacional Autonoma de MexicoMexico CityMexico
  2. 2.Department of Control AutomaticoCentro de Investigacion y Estudios Avanzados (CINVESTAV)Mexico CityMexico
  3. 3.Department of Research and Posgraduates Studies (SEPI)ESIME Ticomán, Instituto Politécnico NacionalMexico CityMexico

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