Quasilinear Control

Performance Analysis and Design of Feedback Systems with Nonlinear Sensors and Actuators

ShiNung Ching, Yongsoon Eun, Cevat Gokcek, Pierre T. Kabamba, Semyon M. Meerkov

• Publisher: Cambridge University Press
• Year: 2010
• Print ISBN:
  9781107000568
• eBook ISBN:
  9781139180849
• Topic: Matematica
• Subtopic: Programmazione lineare e non lineare

This is a textbook and reference for readers interested in quasilinear control (QLC). QLC is a set of methods for performance analysis and design of linear plant or nonlinear instrumentation (LPNI) systems. The approach of QLC is based on the method of stochastic linearization, which reduces the nonlinearities of actuators and sensors to quasilinear gains. Unlike the usual - Jacobian linearization - stochastic linearization is global. Using this approximation, QLC extends most of the linear control theory techniques to LPNI systems. A bisection algorithm for solving these equations is provided. In addition, QLC includes new problems, specific for the LPNI scenario. Examples include Instrumented LQR/LQG, in which the controller is designed simultaneously with the actuator and sensor, and partial and complete performance recovery, in which the degradation of linear performance is either contained by selecting the right instrumentation or completely eliminated by the controller boosting.

Table of contents

• Cover
• Title
• Copyright
• Dedication
• Brief Contents
• Contents
• Preface
• 1 Introduction
• 2 Stochastic Linearization of LPNI Systems
• 3 Analysis of Reference Tracking in LPNI Systems
• 4 Analysis of Disturbance Rejection in LPNI Systems
• 5 Design of Reference Tracking Controllers for LPNI Systems
• 6 Design of Disturbance Rejection Controllers
• 7 Performance Recovery in LPNI Systems
• 8 Proofs
• Epilogue
• Abbreviations and Notations
• Index