プロセス制御工学 3伝達関数と過渡応答3．伝達関 …

1 1 Division of Process Control & Process Systems EngineeringDepartment of Chemical Engineering, Kyoto 2 2 3 yadtdyadtydadtydannnnnn01111 ubdtdubdtudbdtudbdtdtdtmmmmmmnnnn0111101 11 01110111)()()(asasasabsbsbsbsUsYsGnnnnmm mm =0 4 )()()(UsYsG )(sU)(sG)(sU)(sY )(sG 3 5 LLFFdtLdAii ~2~ Ldt2)()(~2~sFsLLFAsii ~2L 1~~2~2)()()( sFLAFLsFsLsGiii 1 TsK 6 12bdubdyyd )(bbY 2010110122ucubdtbyadtyadtya 11 2 2() () () () ()Ys G sU s G sU s 012202201220111)()()()()()(asasacsUsYsGa sasabsbsUsYsG 2 4 7 8 )(sG)(sU)(sY 5 A/B T0 A1/B A2/A1 L Tr Ts )( TKsGK1 T )1()(/TteKty 012345670t/T K T T6 11 ~~2L 1~~2)()()( sFLAFsFsLsGiii 1 TsK 1 12 LaFdtdLAi KoiFFdtdLA K 1)( TsKsGsKsG )( 1 7 13 KsG)(Ktty)(ssG )( K Ktty )( =0.

2 (22 KsG ss K 024681012140t/ K 8 1512)(22 ssKsG 01222 01222 ss 1 12 s 1 1 1 0 1612()()()KGsspsp 12,pajbp ajb 22222()2()KGssas abKbbsa b ()sinatKgtebtb 9 1712()()()KGsspsp 12,pajbp ajb 11()2()()KGsjb sa jbsa jb () ()()2a jbta jbtKgteejb (cossin ) (cossin )2sinatatKebtjbtbtjbtjbKebtb 18 Ims- Re 10 1912)(22 ssKsG 01222 01222 ss 12 s 20 LsesG )(esG )( L 11 21 22 )()()(sUsGsY )()()(sUsGsY )()()(sBsAsC )()()(sCsBsA 12 23 DPCHRPCHPCY 111 PCHPC 1 PCH 11 PCH 24)