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1、序号拉氏变换 E(s)112e nsT31s41s251s361s471s(1/ T )ln a81sa91(sa)2101(sa)311as( sa)12as2 ( sa)113( sa)(sb)( s c)sd14( s a)(sb)( s c)abcs( sa)( sb)(sc)1516s2217ss2218s2219s222202 )s(s2时间函数 e (t)(t )(tnT )u(t)tt22!t33!at / Te atte at1 t2e at21 e att 1 (1 e aT ) ae ate bt(ba)( c a)(ab)(cb)e ct( ac)(bc)( da)e
2、at(db)e bt(b a)( ca)(ab )(cb )(a(dc)ectc)( bc)1bce at(ccae bt(ba)( ca )b)( ab)(aabe ctc)(bc)sintcostsinhtcosht1cos t精品文档Z 变换 E (z)1z nzz1Tz( z 1)2T 2 z( z1)2( z1)3T 3 z( z24 z 1)6( z1)4zzazze aTTze aT( ze aT ) 2T 2ze aTT 2 ze 2 aT2( z e aT )2( z e aT )3(1e aT ) z(z1)(ze aT )Tz(1e aT ) z( z1)2a( z1)(
3、ze aT )zz(ba)(ca)(ze aT )(ab)( cb)( ze bT )z( ac)(bc)( z e cT )(da)z( db) z(ba)(ca)(ze aT )(ab)( cb)( ze bT )(dc)z(ac)(bc)(ze cT )zbczcazz 1(b a)(ca)( ze aT )( cb)(a b)( z e bT )abz(ac)(bc)(ze cT )z sinTz22zcosT1z( zcosT )z22 zcosT1z sinh Tz22zcoshT1z(zcoshT )z22zcoshT1zz(zcoshT )z1z22zcoshT1.精品文档21(sa)2222sa(sa)2223ba(sa )(sb)24a 2b2s2 ( s a)(sb)e aT sinTe aT cos Te ate btabt (a b)b2eaTa2ebTabTz(z 1)2aba bze aT sinTz 22ze aTcosTe 2 aTz2ze aT cosTz 22ze aTcosTe 2 aTzzze aTze bT(ab) zb2 za2 zz1( a b)( ze aT ) ( a b)(z e bT ).
