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个 Find the complete state variable description, i.e., A, B, C & D, for the circuit shown below. dve q(t) = Aq(t) + Bu(t) y(t) Cq(t) + Du(t) dvez et die/d+ [v₁² (1)] Where q(t)= vez (t) is the state-vector, and y(t) is the voltage across the capacitor C₂ iz(t) ic = Codt ave - it ic = V₁ < Esk = V₁ < ic = Cd V²₁₂²

个 Find the complete state variable description, i.e., A, B, C & D, for the circuit shown below. dve q(t) = Aq(t) + Bu(t) y(t) Cq(t) + Du(t) dvez et die/d+ [v₁² (1)] Where q(t)= vez (t) is the state-vector, and y(t) is the voltage across the capacitor C₂ iz(t) ic = Codt ave - it ic = V₁ < Esk = V₁ < ic = Cd V²₁₂²

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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↓ Find the complete state variable description, i.e., A, B, C & D, for the circuit shown below. dve = $ aj (4)= dild+ [v₁² (1)] Where q(t) = vez (t) is the state-vector, and y(t) is the voltage across the capacitor C₂ iz(t) q(t) = Aq(t) + Bu(t) y(t) = Cq(t) + Du(t) + Loop, v(t): + ₁₂ =0 01 K2 - 1/20 A v₂ (t) 000 Vin(t) Loop 2 LB KVL@Loop 2 V₂+ V₂-V₁₁ = 0 + L ¹+ = V₁₁ V₁₂ + +¹2=VV/₁₂=X3 VV₁ KCL @ Node A:) i, - ic - i, = 0; i [=i|-|(= V/ - / - == KELNAJB (H = [010] [] + [8]n Vout= V₁₂ + Vez(t) d+ KILD; ) c a Vin 6 = V₁ < ic=CdV/²₂₁₂ (s) df KVL of entive Loopal intif iLL + VC₂ ~√₁ 4₁ = ²1 (₂₂ ² (dv₁₂ + Vout(t) d+ dit dve - ic * 1 = | dic dt K dt L Cave - -CAVC₂ df dt - dve₁ = dvez dt at 는 ② 3
Transcribed Image Text:↓ Find the complete state variable description, i.e., A, B, C & D, for the circuit shown below. dve = $ aj (4)= dild+ [v₁² (1)] Where q(t) = vez (t) is the state-vector, and y(t) is the voltage across the capacitor C₂ iz(t) q(t) = Aq(t) + Bu(t) y(t) = Cq(t) + Du(t) + Loop, v(t): + ₁₂ =0 01 K2 - 1/20 A v₂ (t) 000 Vin(t) Loop 2 LB KVL@Loop 2 V₂+ V₂-V₁₁ = 0 + L ¹+ = V₁₁ V₁₂ + +¹2=VV/₁₂=X3 VV₁ KCL @ Node A:) i, - ic - i, = 0; i [=i|-|(= V/ - / - == KELNAJB (H = [010] [] + [8]n Vout= V₁₂ + Vez(t) d+ KILD; ) c a Vin 6 = V₁ < ic=CdV/²₂₁₂ (s) df KVL of entive Loopal intif iLL + VC₂ ~√₁ 4₁ = ²1 (₂₂ ² (dv₁₂ + Vout(t) d+ dit dve - ic * 1 = | dic dt K dt L Cave - -CAVC₂ df dt - dve₁ = dvez dt at 는 ② 3
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