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随着结构自由度的增多,控制信息量大幅度增加,控制系统的失效概率将增大。集中式控制策略存在明显的不足,分散控制已成为研究的热点。基于市场机制控制(market-based control,MBC)理论作为一种典型的基于非经典信息的控制方法,只需离散层的信息,属于分布式控制。拟力法(force analogy method,FAM)作为一种弹塑性结构动力分析方法,具有计算速度快,存储空间小等优点。将拟力法与多市场机制控制(multi-MBC,MMBC)策略相结合,可以高效地求解结构非线性控制问题。基于拟力法基本理论,构造了对数供需函数模型,提出了非线性MMBC分散控制器的设计方法。数值分析表明,设计的非线性MBC分散控制器可以取得很好的控制效果,在控制装置失效时,非线性MBC控制策略具有较强的自适应性;并且可以通过价格机制实时对结构进行最优控制,具有较强的鲁棒性。
With the increase of structural freedom, the amount of control information increases greatly, and the probability of failure of control system will increase. The centralized control strategy has obvious deficiencies. Decentralized control has become a research hotspot. Based on the market-based control (MBC) theory as a typical control method based on non-classical information, only the information of discrete layers belongs to distributed control. Force analogy method (FAM) is a kind of elastic-plastic dynamic analysis method, which has the advantages of fast calculation speed, small storage space and so on. Combining the proposed method with the multi-MBC (MMBC) strategy, the nonlinear structure control problem can be efficiently solved. Based on the basic theory of quasi-force method, a logarithmic model of supply-demand function is constructed, and a design method of nonlinear MMBC decentralized controller is proposed. The numerical analysis shows that the designed nonlinear MBC decentralized controller can achieve good control effect. When the control device fails, the nonlinear MBC control strategy has strong self-adaptability; and the structure can be optimized in real time through the price mechanism Control, with strong robustness.