Fal!2001 Possible Perturbations to the LTF: Multiplicative 16.3120-7 Real Figure 6: Nominal loop tf and possible multiplicative errors Possible Perturbations to the LTF: Multiplicative (1+jE Real Figure 7: Consider 4 possible multiplicative perturbations Lp(s)=LN(S)(1+E(s)) And can have E(s)=E0(s)E(s)=-E0(s) E(s=jEo(s E(s)=-jEo(sPossible Perturbations to the LTF: Multiplicative Fall 2001 2 16.31 20—7 1 0 −1 −2 −3 −4 −2 −1 0 1 2 3 4 Real Figure 6: Nominal loop TF and possible multiplicative errors. Possible Perturbations to the LTF: Multiplicative 2 1 0 −1 −2 −3 −4 −2 −1 0 1 2 3 4 LN LN(1+E0 ) LN(1−E0 ) LN(1−jE0 ) LN(1+jE0 ) Real Figure 7: Consider 4 possible multiplicative perturbations. Lp(s) = LN(s)(1 + E(s)) And can have E(s) = E0(s) E(s) = −E0(s) E(s) = jE0(s) E(s) = −jE0(s) Imag Imag