Tion of the kind (17): . x = f ( x ) + g( x )u (17) exactly where
Tion of your form (17): . x = f ( x ) + g( x )u (17) exactly where x = EqTis the state vector, and f ( x ) and g( x ) are as follows: – 0 0, 0, 1 TdT0 Vs Eq Pm D f ( x ) = – 2J ( – 0 ) + 0 2J – 2J xd sin() , g( x ) = 1 – T Eq + T1 xdx- xd Vs cos() d d0 d(18)Electronics 2021, ten, ten, FOR PEER Evaluation Electronics 2021, ten, x x FOR PEER Assessment Electronics 2021, x FOR PEER Critique Electronics 2021, ten, x x FOR PEER Critique Electronics 2021, ten, FOR PEER REVIEW7 7of 17 17 of 17 7 of 7 7 of 17 of- – – – () () 0,0, – (18) , -)= – – – Electronics 2021, 10, 2637 7 of 17 + () () () = 0,0, ()()– ( — ++ — (),() = 0,0, ,, (18) () (18) (18) – + ()= – ( -) + == ()() = 0,0, — – ( + () == — -+ ) + () (),() == 0,0, , () (18) () 0,0, (18) – + () () reThe handle input as well as the measurable output are defined as = and = , — ++ () () spectively. Evidently, the SG model (18)Thecontrol inputand Brunovsky form requirement. defined as = E and = y ,, , does not input plus the measurable output defined as = The control satisfy the the measurable output areare defined as = and and=, =reThe controlinput and the measurable output aredefined as u = and = re-re The controlinput plus the measurable output are f The control the SGand This problem is resolved by using the spectively. Evidently, the andmodel Tianeptine sodium salt custom synthesis measurablesatisfy the Brunovsky form requirement. redifferentialcontrol input model measurablenot satisfy the Brunovsky kind and = , spectively.TheEvidently, the SG model (18) doesn’t satisfy areBrunovsky formrequirement. reEvidently, input model (18) does output the Brunovsky = requirement. spectively. Evidently, concept. the (18) doesn’t output are defined as kind requirement. and = , respectively. flatnessthe SGSG the(18) will not satisfy the defined as = the SG the ML-SA1 Purity & Documentation differential not satisfy the This spectively.resolved by utilizing model (18) doesflatness notion.Brunovsky kind requirement. situation isisis Evidently,utilizing the differential flatness concept. This spectively. Evidently, the the model (18) will not notion. Brunovsky form requirement. issue is resolved by utilizing the differential flatness concept. This concern resolved by utilizing SG differential flatness satisfy the This concern resolved by three.two. Flatness-Based SG Model This issue isis resolved by utilizing the differential flatness idea. This situation resolved by utilizing the differential flatness notion. 3.two. Flatness-Based the Model 3.2. Flatness-Based Model three.two. Flatness-Based SG Model As a way to meet the system3.2. Flatness-Based SGBrunovsky form in method (1), the requirement of SGSG Model 3.2.order to to meetflatness-based model of SGtheBrunovsky form in in technique (1), the differential flatness theory is employed In Flatness-Basedthesystem requirement of ofis de3.2.order tomeet SG Model requirement In [44] after which, a SG technique requirement ofthe Brunovsky kind insystem (1), the In Flatness-Based the Model requirement order meet the Brunovsky form system (1), the To be able to meet the system veloped. In order differential flatness totheoryisemployed [44] after which, aaflatness-based formmodelSGisSG(1), the differential flatnesstheory the employedrequirement of aaBrunovsky model in ofof isde[44] then, Brunovsky model technique (1), is differentialorder to theory the employed [44] and after that,the flatness-based inof systemde- the differentialflatness meet is issystem requirement of the flatness-based model SGSG is deIn flatness theory is system [44] after which,.
