Stochastic Optimal Control of Structures

Description

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. Front Matter ....Pages i-xii Introduction (Yongbo Peng, Jie Li)....Pages 1-24 Theoretical Principles (Yongbo Peng, Jie Li)....Pages 25-82 Physically Based Stochastic Optimal Control (Yongbo Peng, Jie Li)....Pages 83-117 Probabilistic Criteria of Stochastic Optimal Control (Yongbo Peng, Jie Li)....Pages 119-144 Generalized Optimal Control Policy (Yongbo Peng, Jie Li)....Pages 145-169 Stochastic Optimal Control of Nonlinear Structures (Yongbo Peng, Jie Li)....Pages 171-203 Stochastic Optimal Control of Wind-Resistant Structures with Viscous Dampers (Yongbo Peng, Jie Li)....Pages 205-234 Stochastic Optimal Control of Seismic Structures with MR Dampers (Yongbo Peng, Jie Li)....Pages 235-266 Experimental Studies of Stochastic Optimal Control (Yongbo Peng, Jie Li)....Pages 267-293 Back Matter ....Pages 295-322