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Robust Output LQ Optimal Control via Integral Sliding Modes

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  • © 2014

Overview

  • New approach used, with many design techniques unique to this book
  • Minimal prerequisites: only a basic course in linear systems theory is needed
  • For a broad audience of graduate students, practitioners, and researchers in engineering, mathematics, and optimal control theory

Part of the book series: Systems & Control: Foundations & Applications (SCFA)

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Table of contents (10 chapters)

  1. Optimal Control and Sliding Mode

  2. Min–Max Output Robust LQ Control

  3. Practical Examples

Keywords

About this book

Featuring original research from well-known experts in the field of sliding mode control, this monograph presents new design schemes for implementing LQ control solutions in situations where the output system is the only information provided about the state of the plant. This new design works under the restrictions of matched disturbances without losing its desirable features. On the cutting-edge of optimal control research, Robust Output LQ Optimal Control via Integral Sliding Modes is an excellent resource for both graduate students and professionals involved in linear systems, optimal control, observation of systems with unknown inputs, and automatization.

In the theory of optimal control, the linear quadratic (LQ) optimal problem plays an important role due to its physical meaning, and its solution is easily given by an algebraic Riccati equation. This solution turns out to be restrictive, however, because of two assumptions: the system must be free from disturbances and the entire state vector must be known. A new technique, called  output integral sliding modes, eliminates the effects of disturbances acting in the same subspace as the control. By using LQ-optimal control together with integral sliding modes, the former is made robust and based on output information only. Thus optimal control theory improves its applicability.

Authors and Affiliations

  • Departamento de Ingeniería de Control y Robótica, Universidad Nacional Autonoma De Mexico, Mexico City, Mexico

    Leonid Fridman

  • Control Automatico, Centro de Investigacion y Estudios Avanzados, Mexico City, Mexico

    Alexander Poznyak

  • Department of Research and Posgraduates Studies (SEPI), ESIME Ticomán, Instituto Politecnico Nacional, Mexico City, Mexico

    Francisco Javier Bejarano

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