C S T NGGing vin: Nguyn c HongB mn iu Khin T ngKhoa in in Ti Hc Bch Khoa Tp.HCMEmail: ndhoang@hcmut.edu.vn

MN HC

M HNH TON HCH THNG LIN TCCHNG 2

Phng trnh trng thiTrng thi ca mt h thng l tp hp nh nht cc bin (bin trng thi) m nu bit gi tr cc bin ny ti t0 v cc tn hiu vo t > t0 , ta hon ton c th xc nh c p ng ca h thng ti mi thi im t t0.Vector trng thi :

Phng trnh trng thiS dng bin trng thi c th chuyn PTVP bc n m t h thng thnh h gm n PTVP bc nht (h PTTT)Trong (h SISO)

V d 1: H thng gim xctPhng trnh trng thi

V d 1: H thng gim xc (tt)Phng trnh trng thi

V d 2: Mng RLCtPhng trnh trng thi

V d 2: Mng RLC (tt)Phng trnh trng thi

V d 3: tPhng trnh trng thi

Thnh lp PTTT t PTVPTH1: V phi PTVP khng cha o hm tn hiu voH thng m t bi PTVPt bin trng thi theo quy tc Bin u tin bng tn hiu ra Bin tip theo bng o hm bin trc

Thnh lpPTTT t PTVPTH1: V phi PTVP khng cha o hm tn hiu vo (tt)PTTT

Thnh lpPTTT t PTVPTH1: V phi PTVP khng cha o hm tn hiu vo (tt)PTTTVit PTTT m t h thng c m t bng PTVP sau

Thnh lpPTTT t PTVPTH2: V phi PTVP cha o hm tn hiu voH thng m t bi PTVPt bin trng thi theo quy tc Bin u tin bng tn hiu ra Bin tip theo bng o hm bin trc tr 1 lng t l vi tn hiu vo

Thnh lpPTTT t PTVPTH2: V phi PTVP cha o hm tn hiu vo (tt)PTTT

Thnh lpPTTT t PTVPTH2: V phi PTVP cha o hm tn hiu vo (tt)Cc h s c xc nh nh sau

Thnh lpPTTT t PTVPTH2: V phi PTVP cha o hm tn hiu vo (tt)PTTTVit PTTT m t h thng c m t bng PTVP sau

Thnh lpPTTT t PTVPdng phng php ta pha(Xem sch)

Thnh lpPTTT t s khi

Thnh lpPTTT t s khi

Tnh hm truyn t PTTTCho PTTTSuy ra hm truyn ca h thng l

Mi quan h gia cc m t ton hcPTVPHm truynPTTT