Tten as functions of your flat output and its derivatives as
Tten as functions from the flat output and its derivatives as follows: of follows: = = = = follows: ==z =1 = == – two – follows: x . x2 = z = 2 – (20) 2 – – two — two..- = . (20) m- (20) = 0 P2 2J z-Dz (20) (20) 2 two -2J – ==x3 =2V – two – () = (20) 2 0 s 2 (z) (20) 2J x sin = () d two () 2 () exactly where =2 two () where where () 2 exactly where – () 2m + = – exactly where (21) .. P D. – 0 Vs x3 sin(z) two two exactly where 2 (21) 0 z = z + – exactly where ++ – = – – (21) =- + (21) (21) 2J 2J () for , = 0,1,two, …. Similarly, the handle input may be = 2 2as: two -2 2() written2J 2 2- xd () 2 () == – + 2 – + — (21) (21) 1 for = n, =0, 1, …. Similarly,the the manage input be () as:as: two for 1z , =- 0,1,2, two, . . . . Similarly, AS-0141 Inhibitor control 2 two can is often written as: Similarly, 2 manage input can be written input2can written for , n=0,1,2, …. ()) the two = ( +for , = 0,1,two, …. Similarly, the manage input be written as: (22) 11 1 the 1 — 11 – input can be written as: the for , = 0,1,2, …. Similarly, control input may be written as: for , = 0,1,2, …. Similarly, handle ()) = ( + + 1 (22) = = ( (+. (22) (22) x – ()) x ()) d Equations (20)22) hold the differential Tenidap MedChemExpress flatness house of the SG1x3 1 Now, et s cos(z) u= Td0 (three + 1 1 — ()) x + model. d V (22) == ( + T the SG model cand0flatness house of your SG model. Now, (22) of xd propertyof the SG model. Now, let(22) Td flatnessproperty())theSG model. Now, letlet us apply the variable changes as = Equations(20)22) hold the differential flatness , = , = . Then, be Equations (20)22) hold the differential written Equations (20)22) hold the differential in the following Brunovsky from:us applyEquations (20)22) hold the ,, =, =. Then, the SGSG the SG model.written let us us apply the variable modifications asthe differential flatness propertythe model can be Now, let apply the variable (20)22) as differential ,, =flatness propertymodelmodel. Now, let adjustments as = = = = be the variable changeshold =,differential = . Then, the of SG can model. Now, . Then, the SG model can written Equations Equations (20)22) hold the flatness house of with the SG be written in inus1apply theBrunovsky from: as = , . = , ..= . Then, the SG model could be written 0us 0 the0 variable changes as = , = , = . Then, the SG model may be written inthe following Brunovsky from: the following variable adjustments z, z the apply following Brunovsky from: us apply the variable changesasz1 =0 000 0= z, z30=0z . Then, the SG model can be written = in0 1 following 0in the + 0 Brunovsky from: 11 12 the following Brunovsky from: 0 0(23) in the following Brunovsky from: 00 011 1 + 00 00 0 0 0 1 = = 00 0 0 1 0 ++ (23) = 0 (23) (23) 0 where may be the control input for the method (23) defined . 00 000 0 1 1 0 as: =0 0 1 1 + (23) 0= ten 00 + 0 0 (23) 1 0 z z1 . exactly where may be the manage input forforthe technique 0 definedas:as: system0 0 (23) 1 1 1 as: 0 0 0 defined where isis the handle input the method(23) defined the handle input for the (23) where z2 = 0 0 1 + 0 v (23) z2 exactly where isis the control input for the method (23) defined as: the control .input for the program (23) defined as: where z3 0 0 0 z3 1 – () = ( -) + -Electronics 2021, ten,8 ofwhere v would be the manage input for the program (23) defined as: v = f b z, z, z +. .. ..gb z, z, z u… ..=D 2JD z – 0 2J.Pm 2J+ 0 xVs 2J d – 0 2JVs x d1.
