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- %
- k = 1; m1 = 1; m2 = 1;
- agg = [0 0 1 0
- 0 0 0 1
- -k/m1 k/m1 0 0
- k/m2 -k/m2 0 0];
- bgg = [0 0 1/m1 0]'; cgg = [0 1 0 0]; dgg = 0;
- lamg = eig(agg);
- [ta1,ta2,ta3,ta4] = bilin(agg,bgg,cgg,dgg,1,'Sft_jw',[-12 -2]);
- lamtg = eig(ta1);
- xaxis = 2:0.2:12;
- [tmp1,tmp2]=size(xaxis);
- y = sqrt(25-(xaxis-7*ones(tmp1,tmp2)).^2);
- y = [y;-y];
- subplot(111);
- plot(xaxis,y,'--',-xaxis,y,'--',real(lamg),imag(lamg),'x',...
- real(lamtg),imag(lamtg),'+',-real(lamtg),imag(lamtg),'*',...
- -2*real(lamtg),imag(lamtg),'o')
- text(0.2,0.35,'1) x -- original poles','sc')
- text(0.2,0.3,'2) + -- shifted poles','sc')
- text(0.2,0.25,'3) * -- H-Inf closed-loop poles in s~-plane','sc')
- text(0.2,0.20,'4) o -- H-Inf closed-loop poles in s-plane','sc')
- text(-3,0,'p1')
- text(3,0,'-p1')
- text(-13,0,'p2')
- text(13,0,'-p2')
- xlabel('(p1 = -2, p2 = -12)')
- grid
- title('Example of Bilinear Mapping: s~ = (-s + p1) / (s/p2 -1)')
- pause
-