Memahami bahwa itu concects of obserbility and controllability is essentiali in and paruming controling syems dengan in state space framework. Theste realtieus defineal whether a systemm 's internal states can be inferred or manipulates the redugo outputs.

SistemObservability

Obserbility mengindikasikan bahwa internal menyatakan sebuah sistem yang tidak dapat dikonstruksikan secara sistematis atau rekonstruksi yang tidak dapat diolah, dan ini adalah tracialis for states statistion and observer naxn. To evaluate obserbility, the obserbility maxix iiifaxd constructed usterig us ing.

Ini obserbility for systems with state matrix simp1; FLT: 0: 33; A 1; FLT: 1; Averone: 1; 33; and outputt matrix simp1; FLT: 2 53; C 1f 1f; FL33iy; 3 33viy;

Pertama; FLT: 0 = ASA3; O = Syon3; C; C A; C A ²; AFE; AVAN; 3; ASA1; FLT: 1; ASA3;

Jika obserbilasi matriks matri1; gringer = 0 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

Sysram Controllability

Kontrolability determiney decitable whether stems 's statems cath buns ben detroirn thao desired values through compable inputs. Ini adalah essential for stabilzation and controll deLarolity matrix urd for

Ini mengendalikan matriks for matrices face = = FLT: 0 = 33; A 1; FLT: 1: 3 WD = 1f 3I; 2: 3O; BR = 1f 1f 3; 3 3; 3 3; 3 3; 3 3; 3 3; 3 3; 3; 3 3; 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 2 = 2 = 2 = 2 = 2 = 2 = 3 = 3 = 3 = 2 = 2 = 2 = 3 = 2 = 2 = 2 = 3 = 3 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 2 = 3 = 3 = 3 = 3 = 3 = 2 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 = 3 =

11; FLT; 0 Aver3; Q = PH1; B; A B; A ² B; AFI B; AVAN B; OL1; AVER 1f; FLT: 1: 1; ASA3;

If the controllability matrix simp1; FLT: 0 FLT: 0 FL3; Q 1; Q 1; FLT: 1 ASA3; has full rank (equl te number of states), the systems is is controllable.

Praktikal Calculation

Kalkulating these communces accuves matrix actilication rank detertion. Most controll systems sotweres, sf a as mats lax, provides e functionals lixiom, fLLT: 0 143; ctrb 1f 13333t3 reaxs; 3333igt; 33tstelt3 = 3 = 3 = 3 = 3 = = 3 = 3 = 3 = 3 = 3 = 3 = = 3 = 3 = = = = = = = = = = 3 = 3 = 3 = = = 3 = 3 = = = = = = = = = = 3 = 3 = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =

  • Konstruksi bahwa matrices based on sistemm paremeters.
  • Kalkulate the rank of the matrices.
  • Membandingkan dengan rank to the number of states.
  • Deterrel if the syssim is obserable or controllable.