tailieunhanh - Sliding Mode Control Part 16

Tham khảo tài liệu 'sliding mode control part 16', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 514 Sliding Mode Control T 8Vp k Ì Jplant sign . I du k J 23 as in Yasser et al. 2006 b . Stability For the stability analysis of our method we start by defining its Lyapunov function and its derivation as follows VSMCNN t - VNN t VSMC t VSMCNN t - VNN t VSMC t 24 where VNN t is the Lyapunov function of the NN of our method and VSMC t is the Lyapunov function of SMC of our method. For Vnn t we assume that it can be approximated as V m AVNN k VNN t AT 25 where AVNN k is the derivation of a discrete-time Lyapunov function and AT is a sampling time. According to Yasser et al. 2006 b AVNN k can be guaranteed to be negative definite if the learning parameter c satisfies the following conditions 2 0 c 26 nq for the weights between the hidden layer and the output layer mqj k and 0 c n maxk mqj k maxk K k 27 for the weights between the input layer and the hidden layer mq k . Furthermore if the conditions in 26 and 27 are satisfied the negativity of Vnn t can also be increased by reducing AT in 25 . For VSMC t it is defined as S t VSMC t --y VsMC t - Syp t Syp t . 28 Then we the following assumption. Assumption 1 The sliding surface in 13 can approximate the sliding surface in 3 Yasser et al. 2006 c S t S t . yp xp 29 t z 1 . 1 VSMC t in 28 can be assured to be negative definite if Sliding Mode Control Using Neural Networks 515 _ Syp t Á t 30 -k ypSyp t where k is a positive constant. Following the stability analysis method in Phuah et al. __ yp _ _ __ 2005 a we apply 1 3 7 14 15 29 and 30 to 28 and assume that 15 can . n-11 t z 1 1 11 approximate 4 . Thus VSMC t can be described as V SMC t t Sxr t Sy t cTp eXp t Syp t cT xp t - xp t J Syp t Xp t - cxpf xp t - cTPBpUp t J . 31 Syp t cTxp t - CT f xp t - cTpBp u t Uc t Syp t -kypSyp t t which is negative definite where ky CT Bpky . The reaching condition Phuah et al. 2005 a can be achieved if -kyPSyP t nsign Syp t . 32 where n is a small positive constant.

TỪ KHÓA LIÊN QUAN
TÀI LIỆU MỚI ĐĂNG
44    106    0    20-05-2024
crossorigin="anonymous">
Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.