State Space Representation- Part 2

[@rd-tk6js]

ssr is internal and tfr is external representaion of plant tx func 3:00 for SISO LTI causal dyn syst {A,b,c,d} is syst realization 4:00 ssr for MIMO lti causal dyna syst is 5:00 state eqn : d/dt(x(t)) = A x(t) + B u(t) op eqn : yt) - C x(t) + D u(t) where for p ip and q op syst, A = state mat (n x n), B = ip mat (n x p), C = op mat (q x n), D = direct transmission mat (q x p) and {A,B,C,D} is syst realization Note : in eer no consideration for ini conditions (unlike in TFR) thus gives both natural and forced response 13:00 Eqivalence b/w TFR and SSR 13:45 Note TFR is unique but SSR is not and it depends on the state vars choosen 16:00 equivalence eqn is p(s) = c . inv(SI - A) b + d 21:20

[@landofbooks4426]

Thank you sir !

[@sandroalcantara6025]

always a like to the video and a like to rajesh comment 😊