摘要
为克服非线性特征对系统控制品质的影响和求解Riccati代数方程的不便性,提出一种基于线性矩阵不等式(linear matrix inequality,LMI)的多变量H∞次优控制方法,对质子交换膜燃料电池(proton exchange membrane fuel cell,PEMFC)压力系统动态模型进行直接非线性控制。该方法通过非线性坐标变换和动态扩展求得Brunovsky标准型,并结合H∞次优控制方法求解一个凸约束问题得到非线性控制律。将仿真结果与实验结果进行对比分析,验证了所提出非线性动态模型的正确性,并通过模拟电动车的行驶过程,证明所设计的非线性次优控制器在大扰动情况下能够保持氢气和氧气分压稳定、减小两极压力差、防止质子膜损坏,保证了系统的稳定运行,同时与其他控制方法比较,进一步证明了该方法的有效性和优越性。此外结合结构奇异值μ分析方法验证了系统的鲁棒稳定性。该方法的提出对PEMFC系统的非线性控制研究具有重要指导意义。
To overcome the influence of nonlinearities and the inconvenience of solving Riccati algebraic equation,a multivariable H∞ suboptimal control method based on linear matrix inequality（LMI） was proposed to directly control a dynamic model of proton exchange membrane fuel cell（PEMFC） pressure system.According to the nonlinear coordinate transformation and the dynamic extended approach,a Brunovsky canonical form was obtained and then the nonlinear control law combined with H∞ suboptimal control strategy to solve a convex restricted problem might be obtained.The comparison between simulation results and experimental results demonstrated the validity of the proposed dynamic nonlinear model.By simulating the vehicle running process,it was verified that the proposed nonlinear suboptimal controller could maintain the hydrogen partial pressure steady and oxygen partial pressure steady,decrease the pressure deviation between anode and cathode,prevent the membrane damage,and guarantee stable operation of the system under the large disturbances.Simultaneously,the comprehensive comparison with other control methods proved the superiority and validity of the proposed method.Furthermore,the structure singular value μ analysis method was utilized to testify the robust stability.Therefore,the proposed control method will make important effect for investigating the nonlinear control of PEMFC system.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2010年第20期123-128,共6页
Proceedings of the CSEE
基金
中央高校基本科研业务费专项资金(SWJTU09ZT13)~~
