电机与控制学报
電機與控製學報
전궤여공제학보
ECTRIC MACHINES AND CONTROL
2010年
3期
83-86
,共4页
伺服系统%性能加权函数%H_∞范数%J-无损分解%混合灵敏度
伺服繫統%性能加權函數%H_∞範數%J-無損分解%混閤靈敏度
사복계통%성능가권함수%H_∞범수%J-무손분해%혼합령민도
servo system%performance weight function%H_∞ norm%J-lossless factorization%mixed sensitivity
为了提高伺服系统性能,提出一种基于J-无损分解的性能加权函数优化设计方法.首先,依据闭环系统H_∞范数达到1的设计准则,给出了伺服系统性能加权函数优化设计算法的迭代步骤;其次,利用Bode积分关系以及H_∞最优控制结果全通特性分析了算法的收敛性;最后,基于J-无损分解推导出性能加权函数优化设计的计算公式.所提出的优化设计算法易于迭代计算,能够在较少的迭代步骤内使得闭环系统H_∞范数达到1.仿真实例验证了算法的有效性.
為瞭提高伺服繫統性能,提齣一種基于J-無損分解的性能加權函數優化設計方法.首先,依據閉環繫統H_∞範數達到1的設計準則,給齣瞭伺服繫統性能加權函數優化設計算法的迭代步驟;其次,利用Bode積分關繫以及H_∞最優控製結果全通特性分析瞭算法的收斂性;最後,基于J-無損分解推導齣性能加權函數優化設計的計算公式.所提齣的優化設計算法易于迭代計算,能夠在較少的迭代步驟內使得閉環繫統H_∞範數達到1.倣真實例驗證瞭算法的有效性.
위료제고사복계통성능,제출일충기우J-무손분해적성능가권함수우화설계방법.수선,의거폐배계통H_∞범수체도1적설계준칙,급출료사복계통성능가권함수우화설계산법적질대보취;기차,이용Bode적분관계이급H_∞최우공제결과전통특성분석료산법적수렴성;최후,기우J-무손분해추도출성능가권함수우화설계적계산공식.소제출적우화설계산법역우질대계산,능구재교소적질대보취내사득폐배계통H_∞범수체도1.방진실례험증료산법적유효성.
In order to get servo system's best performance,an optimization design approach of performance weight function based on J-lossless factorization is proposed.Firstly,utilizing the criterion of closed loop system's H_∞ norm approaching 1,the servo system's performance weight function design iteration steps were presented.Secondly,the algorithm' convergence was analyzed based on Bode's integral and allpass property of H_∞ optimal control.Finally,the performance weight function calculating formula was deduced based on J-lossless factorization.The proposed optimization design method is easy to compute and closed loop system's H_∞ norm will approach 1 in a few steps.A simulation result is given to verify the proposed method's validation.
