论文部分内容阅读
对基于市场机制控制(Market-Based Control,MBC)系统中控制变量存在的饱和效应进行了研究。根据结构力学与状态空间理论的模拟关系,将塑性力学中的参变量变分原理、对偶互补关系以及相应的二次规划方法应用到控制系统中,提出了输入饱和系统的结构MBC策略。将提出的控制策略应用于一座20层钢框架结构,并与输入饱和系统的非线性最优控制进行了对比,来验证本文方法的优势。结果表明:当控制系统存在饱和状态时,采用本文提出的输入饱和系统的结构MBC策略比最优控制效果好;相比最优控制策略,MBC策略对结构的位移响应具有更好的控制效果,并且MBC策略对于结构上部加速度的控制效果要好于最优控制;MBC策略在整个时程中所消耗的时间比最优控制快,更适合应用于多维、高层结构。
The saturation effect based on the control variables in the market-based control (MBC) system is studied. According to the simulation relationship between structural mechanics and state space theory, the parametric variational principle, duality and complementarity in plastic mechanics and the corresponding quadratic programming method are applied to the control system, and the structure MBC strategy of input saturated system is proposed. The proposed control strategy is applied to a 20-story steel frame structure and compared with the nonlinear optimal control of the input saturation system to verify the advantages of the proposed method. The results show that the MBC strategy using the input saturation system proposed in this paper is better than the optimal one when the control system is saturated. Compared with the optimal control strategy, the MBC strategy has a better control effect on the displacement response of the structure. MBC strategy is more effective than optimal control on the acceleration of the structural upper part. The MBC strategy consumes more time than the optimal control in the entire time span, and is more suitable for multi-dimensional and high-rise structures.