电机与控制学报
電機與控製學報
전궤여공제학보
ECTRIC MACHINES AND CONTROL
2014年
12期
115-120
,共6页
变结构滤波器%收敛速度%离散线性到达条件%离散积分到达条件
變結構濾波器%收斂速度%離散線性到達條件%離散積分到達條件
변결구려파기%수렴속도%리산선성도체조건%리산적분도체조건
the variable structure filter%convergence rate%discrete linear reaching condition%discrete integral reaching condition
基于传统到达条件的变结构滤波器稳定性已经得到证明，但是已有的研究还没有推导出能保证一定收敛速度的矫正增益。通过引入离散线性到达条件和离散积分到达条件来保证滤波器的收敛速度。由于变结构滤波器是基于模型的，系统噪声会引入状态估计的稳态误差，离散积分到达条件可以消除稳态误差。测量噪声会对状态估计性能带来较大影响。将均值滤波和离散线性到达条件相结合，推导出可以抑制测量噪声影响的矫正增益。应用一种带系统噪声和测量噪声的线性系统来对经过改进的滤波器进行仿真。仿真结果验证了所提方法的有效性。
基于傳統到達條件的變結構濾波器穩定性已經得到證明，但是已有的研究還沒有推導齣能保證一定收斂速度的矯正增益。通過引入離散線性到達條件和離散積分到達條件來保證濾波器的收斂速度。由于變結構濾波器是基于模型的，繫統譟聲會引入狀態估計的穩態誤差，離散積分到達條件可以消除穩態誤差。測量譟聲會對狀態估計性能帶來較大影響。將均值濾波和離散線性到達條件相結閤，推導齣可以抑製測量譟聲影響的矯正增益。應用一種帶繫統譟聲和測量譟聲的線性繫統來對經過改進的濾波器進行倣真。倣真結果驗證瞭所提方法的有效性。
기우전통도체조건적변결구려파기은정성이경득도증명，단시이유적연구환몰유추도출능보증일정수렴속도적교정증익。통과인입리산선성도체조건화리산적분도체조건래보증려파기적수렴속도。유우변결구려파기시기우모형적，계통조성회인입상태고계적은태오차，리산적분도체조건가이소제은태오차。측량조성회대상태고계성능대래교대영향。장균치려파화리산선성도체조건상결합，추도출가이억제측량조성영향적교정증익。응용일충대계통조성화측량조성적선성계통래대경과개진적려파기진행방진。방진결과험증료소제방법적유효성。
The stability of the variable structure filter based on traditional reaching condition was proved but the correct gain which guaranteed a certain convergence rate was not derived. The discrete linear reaching condition and discrete integral reaching condition were introduced to guarantee the convergence rate. Because variable structure filter is based on the system model, system noises cause steady state esti-mation errors. The discrete integral reaching condition eliminated the steady state errors. Measurement noises have a bad influence on the performance of variable structure filter. Average filtering method and discrete linear reaching condition were combined to derive the correct gain which reduced the influence of measurement noises. The improved variable structure filters are applied to a linear system which contains system noises and measurement noises. Simulation results show that the performance of the variable struc-ture filter is improved.
