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3- Find the transfer function for the following state space representation. Confirm your result using Matlab. *348-10 x+ и, -3-2 y= [ 10 ]x a. 1 2 x = 3 4 * - [ } } } ] × + [ 3 ]μ 5 x и, y=[ 7 8 ]x+9u 6 4- b. Consider the following electrical network which contains a nonlinear resistor whose voltage-current relationship is defined by vr = where i and v₁. are the resistor current and voltage, respectively with the input voltage vi(t) and the output y(t)i(t) (Current of nonlinear resistor). v(t) 1F 5v (t) v,(t) W Nonlinear Resistor a) Find the state-space representation for this electrical network. b) Draw the block diagram of the obtained state-space model in part a). c) Find the equilibrium points of the system for zero input voltage (vi(t) = 0) and linear state-space representations of the network around each equilibrium point. ir(s) d) Find the transfer function G(s) = of the linearized model in one of the equilibrium Vi(s) points.

3- Find the transfer function for the following state space representation. Confirm your result using Matlab. *348-10 x+ и, -3-2 y= [ 10 ]x a. 1 2 x = 3 4 * - [ } } } ] × + [ 3 ]μ 5 x и, y=[ 7 8 ]x+9u 6 4- b. Consider the following electrical network which contains a nonlinear resistor whose voltage-current relationship is defined by vr = where i and v₁. are the resistor current and voltage, respectively with the input voltage vi(t) and the output y(t)i(t) (Current of nonlinear resistor). v(t) 1F 5v (t) v,(t) W Nonlinear Resistor a) Find the state-space representation for this electrical network. b) Draw the block diagram of the obtained state-space model in part a). c) Find the equilibrium points of the system for zero input voltage (vi(t) = 0) and linear state-space representations of the network around each equilibrium point. ir(s) d) Find the transfer function G(s) = of the linearized model in one of the equilibrium Vi(s) points.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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3- Find the transfer function for the following state space representation. Confirm your result using Matlab. *348-10 x+ и, -3-2 y= [ 10 ]x a. 1 2 x = 3 4 * - [ } } } ] × + [ 3 ]μ 5 x и, y=[ 7 8 ]x+9u 6 4- b. Consider the following electrical network which contains a nonlinear resistor whose voltage-current relationship is defined by vr = where i and v₁. are the resistor current and voltage, respectively with the input voltage vi(t) and the output y(t)i(t) (Current of nonlinear resistor). v(t) 1F 5v (t) v,(t) W Nonlinear Resistor a) Find the state-space representation for this electrical network. b) Draw the block diagram of the obtained state-space model in part a). c) Find the equilibrium points of the system for zero input voltage (vi(t) = 0) and linear state-space representations of the network around each equilibrium point. ir(s) d) Find the transfer function G(s) = of the linearized model in one of the equilibrium Vi(s) points.
Transcribed Image Text:3- Find the transfer function for the following state space representation. Confirm your result using Matlab. *348-10 x+ и, -3-2 y= [ 10 ]x a. 1 2 x = 3 4 * - [ } } } ] × + [ 3 ]μ 5 x и, y=[ 7 8 ]x+9u 6 4- b. Consider the following electrical network which contains a nonlinear resistor whose voltage-current relationship is defined by vr = where i and v₁. are the resistor current and voltage, respectively with the input voltage vi(t) and the output y(t)i(t) (Current of nonlinear resistor). v(t) 1F 5v (t) v,(t) W Nonlinear Resistor a) Find the state-space representation for this electrical network. b) Draw the block diagram of the obtained state-space model in part a). c) Find the equilibrium points of the system for zero input voltage (vi(t) = 0) and linear state-space representations of the network around each equilibrium point. ir(s) d) Find the transfer function G(s) = of the linearized model in one of the equilibrium Vi(s) points.
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