Stochastic Optimal Control of Structures

• Main Authors: Peng, Yongbo (Author, http://id.loc.gov/vocabulary/relators/aut), Li, Jie (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Vibration.; Dynamical systems.; Dynamics.; Control engineering.; Mechanics.; Mechanics, Applied.; Calculus of variations.; Probabilities.; Vibration, Dynamical Systems, Control.; Control and Systems Theory.; Solid Mechanics.; Calculus of Variations and Optimal Control; Optimization.; Probability Theory and Stochastic Processes.

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 c...

Table of Contents:

• Preface
• Introduction
• Theoretical essentials
• PDEM based stochastic optimal control
• Probabilistic criteria of stochastic optimal control
• Generalized optimal control policy
• Stochastic optimal control of nonlinear structures
• Stochastic optimal control of wind-induced comfortability
• Stochastic optimal semi-active control of structures
• Shaking table test of controlled structures
• References
• Appendix A: Mapping from excitation vector to co-state vector
• Appendix B: Statistical linearization based LQG control
• Appendix C: Riccati matrix difference equation and discrete dynamic programming
• Index.