回滞非线性结构的瞬态最优控制

本文对一种国滞非线性基础隔振的主从结构模型用瞬态最优控制法进行振动控制研究。利用四阶Ｒｕｎｇｅ－Ｋｕｔｔａ积分格式统一处理最优控制方程，可直接逐步积分求出系统在瞬态最优控制下的最优控制力与系统响应。分别对主从结构无主动控制及有主动控制时的两种情况（包含或不包含ｖｂ反馈）进行计算。结果表明瞬态最优控制可有效地抑制振动。

Instantaneous Optimal Control of Hysteretic and Nonlinear Structure

Instantaneous optimal control of a model of primary-secondary structure with hysteretic and nonlinear base-isolation is studied in this paper. The governing equations of the optimal control system canbe simplified by fourth order Runge-Kutta. integration form, and the optimal control force and thesystem responses can be obtained directly by integrating step by step. So this method can be used inon-line real-time control. Two cases without and with active control (including Vb feedback or not) arecalculated respectively. The results shove that instantaneous optimal control is effective to suppress vibration of the primary-secondary system.