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Stochastic Optimal Control of Structures

  • Yongbo Peng
  • Jie Li
Book

Table of contents

  1. Front Matter
    Pages i-xii
  2. Yongbo Peng, Jie Li
    Pages 1-24
  3. Yongbo Peng, Jie Li
    Pages 25-82
  4. Yongbo Peng, Jie Li
    Pages 83-117
  5. Yongbo Peng, Jie Li
    Pages 119-144
  6. Yongbo Peng, Jie Li
    Pages 145-169
  7. Yongbo Peng, Jie Li
    Pages 171-203
  8. Yongbo Peng, Jie Li
    Pages 267-293
  9. Back Matter
    Pages 295-322

About this book

Introduction

This book proposes, for the first time, a basic formulation for structural control that takes into account the stochastic dynamics induced by engineering excitations in the nature of non-stationary and non-Gaussian processes. Further, it establishes the theory of and methods for stochastic optimal control of randomly-excited engineering structures in the context of probability density evolution methods, such as physically-based stochastic optimal (PSO) control. By logically integrating randomness into control gain, the book helps readers design elegant control systems, mitigate risks in civil engineering structures, and avoid the dilemmas posed by the methods predominantly applied in current practice, such as deterministic control and classical linear quadratic Gaussian (LQG) control associated with nominal white noises.

Keywords

Stochastic optimal control Probability density evolution method Riccati equation Probabilistic criterion Control parameters Multiple-objective optimization Structural reliability General optimal control policy Device deployment Controllability index Structural control

Authors and affiliations

  • Yongbo Peng
    • 1
  • Jie Li
    • 2
  1. 1.Shanghai Institute of Disaster Prevention and ReliefTongji UniversityShanghaiChina
  2. 2.College of Civil EngineeringTongji UniversityShanghaiChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-6764-9
  • Copyright Information Springer Nature Singapore Pte Ltd. and Shanghai Scientific and Technical Publishers 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering
  • Print ISBN 978-981-13-6763-2
  • Online ISBN 978-981-13-6764-9
  • Buy this book on publisher's site
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