摘要
针对建筑结构振动控制模型的不确定性,研究了被控建筑结构模型参数不确定性时的保性能鲁棒混合H2/H∞控制问题。将结构模型参数不确定性引入到被控结构状态方程的摄动矩阵之中,基于线性矩阵不等式设计了多目标保性能鲁棒混合H2/H∞鲁棒控制器。该控制器在规定的模型参数变化范围内,使得闭环控制系统同时满足H∞干扰抑制和最优H2性能。最后,以一个缩尺的多层剪切型建筑结构模型为例,给出了保性能鲁棒混合H2/H∞控制问题的设计过程,验证所提控制方法的有效性。数值分析结果表明,所提出的保性能鲁棒混合H2/H∞控制方法的控制效果明显,能有效地减小结构的地震峰值响应,且控制系统对结构参数不确定性有很强的鲁棒性。
Aimed to the controlled structures with uncertain model parameters, the guaranteed-cost robust mixed H2/H∞ control problem of structures with uncertain model parameters is study in this paper. In the process of designing H2/H∞ controller,the uncertain model parameters of structures are included in perturbation matrix of state equation, and the muhi-objeetive guaranteed-cost robust mixed H2/H∞ controller is employed to design according to the linear matrix inequality. This H2/H∞ controller can satisfy H∞ disturbance suppression and the optimal H2 performance of the closed-loop control system simultaneously within the range of perturbation of modal parameters. Finally, a three-storey shear-type frame structure is used to verify the effectiveness of the guaranteed-cost robust mixed H2/H∞ controller, suggesting that the guaranteed-cost robust mixed H2/H∞ controller have the favorable control efficiency for the reduced scale frame structure under earthquake and the seismic responses of structure are decreased in different degree. In addition, the guaranteed-cost robust mixed H2/H∞ controller has favorable robustness for the controlled structures with uncertain model parameters.
出处
《四川建筑科学研究》
北大核心
2011年第6期153-156,178,共5页
Sichuan Building Science
基金
国家自然科学基金重大研究计划"重大工程的动力灾变"重点支持项目"重大工程地震损伤破坏的理论与方法"(90815027)
国家教育部博士点专项基金(20061028001)
关键词
地震响应
振动控制
保性能鲁棒混合H2/H∞
不确定性结构
线性矩阵不等式
seismic response
vibration control
guaranteed-cost robust H2/H∞
structures with uncertain parameters
linear matrix inequality
