物理学报Issue(9)：1-7,7.DOI:10.7498/aps.64.090503
基于哈密顿函数的永磁同步电机混沌系统鲁棒控制∗
Robust control for p ermanent magnet synchronous motors based on Hamiltonian function
摘要
Abstract
Hamiltonian system theory is an important research tool for nonlinear systems, and has been widely used in motor speed regulation and control during recent years. Aiming at the chaotic phenomenon in permanent magnet synchronous motors, a design method of robust controller based on the Hamiltonian function is presented for the chaotic systems. The dynamic model of permanent magnet synchronous motor is transformed into a model similar to the Lorenz chaotic equation, and the model is chaotic at certain parameters according to the Lyapunov exponent and the Lyapunov dimension calculated. Let the rotator speed of the motor track a set of values, an error equation is obtained accordingly. Because the error equation does not satisfy the standard form of Hamilton exactly, it can be transformed into the Hamiltonian system containing uncertain disturbance terms. While the uncertain disturbance terms as well as the load term are regarded as a total disturbance term to the system, a kind of robust controller is designed. The controller consists of two parts. One part is based on the method of interconnection and damping assignment, and can make the rotator speed track any value well; The other part is used as a disturbance compensator. Simulation result shows that the controller drives the permanent magnet synchronous motor out of the chaotic state rapidly and the rotator speed tracks the set of values well. It is proven that the controller is feasible and effective. The method mentioned in this paper extends the range of application of Hamiltonian function and has a certain advantage.关键词
永磁同步电机/哈密顿函数/混沌/鲁棒控制Key words
permanent magnet synchronous motors/Hamiltonian function/chaos/robust control引用本文复制引用
吴忠强,吴昌韩,赵立儒,贾文静..基于哈密顿函数的永磁同步电机混沌系统鲁棒控制∗[J].物理学报,2015,(9):1-7,7.基金项目
国家自然科学基金委员会与宝钢集团有限公司联合资助项目(批准号：U1260203)和河北省自然科学基金(批准号：F2012203088)资助的课题.* Project supported by the National Natural Science Foundation of China and Baosteel Group Co. Ltd (Grant No.U1260203), and the Natural Science Foundation of Hebei Province, China (Grant No. F2012203088) （批准号：U1260203）
