1.

Record Nr.

UNINA9910350290103321

Autore

Peng Yongbo

Titolo

Stochastic Optimal Control of Structures / / by Yongbo Peng, Jie Li

Pubbl/distr/stampa

Singapore : , : Springer Singapore : , : Imprint : Springer, , 2019

ISBN

981-13-6764-7

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (XII, 322 p. 170 illus., 86 illus. in color.)

Disciplina

620

Soggetti

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

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.



Sommario/riassunto

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.