TY - JOUR
T1 - Spline adaptive inverse control scheme with filtered error feedback
AU - Yang, Liangdong
AU - Liu, Jinxin
AU - Zhang, Qian
AU - Yan, Ruqiang
AU - Chen, Xuefeng
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature B.V.
PY - 2021/11
Y1 - 2021/11
N2 - This paper presents a new scheme for the control of unknown block-oriented nonlinear systems using spline adaptive filter (SAF). The principle of adaptive inverse control (AIC) is utilized as the control structure in this scheme. First, the mathematical model of the unknown controlled plant was established through SAF, which consists of a linear FIR filter and a nonlinear spline interpolation function. The controller is obtained by adaptively establishing the inverse model of linear FIR filter and nonlinear spline function, respectively. In this process, a shift form DCT-LMS with variable learning rate (VL-DCTS-LMS) algorithm is proposed in order to adapt the inverse of FIR filter, and a modified Newton–Raphson method is used for directly calculating the inverse of spline interpolation function. Considering the steady-state error resulted by the plant modeling inaccuracy, filtered error feedback is introduced into the plant input in order to eliminate the control error. The effectiveness of the proposed control scheme is verified by several numerical examples, including some additional discussions and a comparison with other control methods.
AB - This paper presents a new scheme for the control of unknown block-oriented nonlinear systems using spline adaptive filter (SAF). The principle of adaptive inverse control (AIC) is utilized as the control structure in this scheme. First, the mathematical model of the unknown controlled plant was established through SAF, which consists of a linear FIR filter and a nonlinear spline interpolation function. The controller is obtained by adaptively establishing the inverse model of linear FIR filter and nonlinear spline function, respectively. In this process, a shift form DCT-LMS with variable learning rate (VL-DCTS-LMS) algorithm is proposed in order to adapt the inverse of FIR filter, and a modified Newton–Raphson method is used for directly calculating the inverse of spline interpolation function. Considering the steady-state error resulted by the plant modeling inaccuracy, filtered error feedback is introduced into the plant input in order to eliminate the control error. The effectiveness of the proposed control scheme is verified by several numerical examples, including some additional discussions and a comparison with other control methods.
KW - Adaptive inverse control
KW - Block-oriented system
KW - Nonlinear system control
KW - Spline adaptive filter
UR - https://www.scopus.com/pages/publications/85117230886
U2 - 10.1007/s11071-021-06882-6
DO - 10.1007/s11071-021-06882-6
M3 - 文章
AN - SCOPUS:85117230886
SN - 0924-090X
VL - 106
SP - 2309
EP - 2328
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
IS - 3
ER -