Stochastic Optimal Control of Structures

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...

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Bibliographic Details
Main Authors: Peng, Yongbo, Li, Jie (Author)
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2019, 2019
Edition:1st ed. 2019
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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100 1 |a Peng, Yongbo 
245 0 0 |a Stochastic Optimal Control of Structures  |h Elektronische Ressource  |c by Yongbo Peng, Jie Li 
250 |a 1st ed. 2019 
260 |a Singapore  |b Springer Nature Singapore  |c 2019, 2019 
300 |a XII, 322 p. 170 illus., 86 illus. in color  |b online resource 
505 0 |a 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 
653 |a Mechanics, Applied 
653 |a Control and Systems Theory 
653 |a Calculus of Variations and Optimization 
653 |a Probability Theory 
653 |a Multibody Systems and Mechanical Vibrations 
653 |a Vibration 
653 |a Solids 
653 |a Control engineering 
653 |a Solid Mechanics 
653 |a Multibody systems 
653 |a Mathematical optimization 
653 |a Calculus of variations 
653 |a Probabilities 
700 1 |a Li, Jie  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
856 4 0 |u https://doi.org/10.1007/978-981-13-6764-9?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 620.3 
520 |a 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