tailieunhanh - Sliding Mode Control Part 14

Tham khảo tài liệu 'sliding mode control part 14', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 444 Sliding Mode Control C . a opt a3 2 s arnax e0 2 0 53 c ._. max 54 Caopt 2 e0 54 That ends our presentation of the algorithm for switching line design with the acceleration constraint. Velocity and acceleration constraint Finally we consider both of constraints . the system velocity and the system acceleration and we require that they are satisfied at the same time. In order to minimise the considered criterion with constraints 34 and 35 we will minimise the following function of a single variable k Jv a k max Jv k Ja k 55 This minimisation task can be solved by considering three cases which are illustrated in Figs. 8-10 1. Jv kaopt Ja kaopt 2. Jv kvopt Ja kvopt 3. Jv ka opt Ja ka opt illd Jv kv opt Ja kv opt Fig. 8. Criteria Jv k and Ja k - case 1. In the first case the optimal value of k is given by kopt kaopt and then parameter Bopt is given by formula 50 . In the second case we obtain that kopt kv opt and Bopt can be calculated from equation 42 . In the last case in order to find the optimal solution we solve numerically equation Jv k -Ja k 0 in the interval kaopt kvopt . Substituting numerically found value kopt into either 42 or 50 we get the optimal value of B. The other Sliding Mode Control of Second Order Dynamic System with State Constraints 445 optimal switching line parameters can be derived from 22 31 32 and 37 . In this way we design the switching line which is optimal in the sense of the IAE criterion and guarantees that the state constraints are satisfied. Fig. 9. Criteria Jv k and Ja k - case 2. Fig. 10. Criteria Jv k and Ja k - case 3. 5. Simulation examples In order to illustrate and verify the proposed method of the switching line design we consider a suspended load described as follows x 1 x2 x 2 F-f x1 x2 m 56 where m 1 kg and f x1 x2 x2 x represents model uncertainty . unknown friction in the system. Consequently Y . The initial condition x0 m. The demand position of system 56 is xd

TỪ KHÓA LIÊN QUAN
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.