物理学报
物理學報
물이학보
2015年
9期
090503-1-090503-6
,共1页
吴忠强%吴昌韩%赵立儒%贾文静
吳忠彊%吳昌韓%趙立儒%賈文靜
오충강%오창한%조립유%가문정
永磁同步电机%哈密顿函数%混沌%鲁棒控制
永磁同步電機%哈密頓函數%混沌%魯棒控製
영자동보전궤%합밀돈함수%혼돈%로봉공제
permanent magnet synchronous motors%Hamiltonian function%chaos%robust control
哈密顿系统理论是研究非线性系统的一种重要工具，近年来在电机调速、控制等方面得到广泛应用。本文针对永磁同步电机运行中存在的混沌现象，提出一种基于哈密顿函数的永磁同步电机混沌系统鲁棒控制器设计方法。将永磁同步电机动态模型变换为类Lorenz混沌方程，在特定参数下，通过Lyapunov指数和Lyapunov维数的计算可知系统是混沌的。令电机转速跟踪给定值得误差方程。由于误差方程并不具有标准哈密顿函数形式，将其转化为具有扰动不确定项的哈密顿系统，并与负载扰动一起作为系统的总扰动量，设计了一种鲁棒控制器。控制器由两部分组成，一部分基于互联与阻尼配置法，实现任意转速的有效跟踪，另一部分实现扰动补偿。仿真表明，控制器使电机迅速脱离混沌状态，并能实现转速趋近跟踪，验证了控制器的可行性与有效性。该方法扩展了哈密顿函数的适用范围，具有一定的优越性。
哈密頓繫統理論是研究非線性繫統的一種重要工具，近年來在電機調速、控製等方麵得到廣汎應用。本文針對永磁同步電機運行中存在的混沌現象，提齣一種基于哈密頓函數的永磁同步電機混沌繫統魯棒控製器設計方法。將永磁同步電機動態模型變換為類Lorenz混沌方程，在特定參數下，通過Lyapunov指數和Lyapunov維數的計算可知繫統是混沌的。令電機轉速跟蹤給定值得誤差方程。由于誤差方程併不具有標準哈密頓函數形式，將其轉化為具有擾動不確定項的哈密頓繫統，併與負載擾動一起作為繫統的總擾動量，設計瞭一種魯棒控製器。控製器由兩部分組成，一部分基于互聯與阻尼配置法，實現任意轉速的有效跟蹤，另一部分實現擾動補償。倣真錶明，控製器使電機迅速脫離混沌狀態，併能實現轉速趨近跟蹤，驗證瞭控製器的可行性與有效性。該方法擴展瞭哈密頓函數的適用範圍，具有一定的優越性。
합밀돈계통이론시연구비선성계통적일충중요공구，근년래재전궤조속、공제등방면득도엄범응용。본문침대영자동보전궤운행중존재적혼돈현상，제출일충기우합밀돈함수적영자동보전궤혼돈계통로봉공제기설계방법。장영자동보전궤동태모형변환위류Lorenz혼돈방정，재특정삼수하，통과Lyapunov지수화Lyapunov유수적계산가지계통시혼돈적。령전궤전속근종급정치득오차방정。유우오차방정병불구유표준합밀돈함수형식，장기전화위구유우동불학정항적합밀돈계통，병여부재우동일기작위계통적총우동량，설계료일충로봉공제기。공제기유량부분조성，일부분기우호련여조니배치법，실현임의전속적유효근종，령일부분실현우동보상。방진표명，공제기사전궤신속탈리혼돈상태，병능실현전속추근근종，험증료공제기적가행성여유효성。해방법확전료합밀돈함수적괄용범위，구유일정적우월성。
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.
