What is the steady state output, x s(t), for the following system? x + 5x =...
4. Find the steady state periodic solution, Xsp(t) of the following differential equation. x" + 5x F(t), where F(t) is the function of period 21 such that F(t) = 18 if 0 <t<n and F(t) = -18 if n<t<21.
A system has a transfer function s+3 H(s) = Find the steady-state output response for each of the given inputs. Work this one out by hand and show your w (a) x(t) = 2cos(0.1t)u(t) (b) x(t) = 15cos(10t-25。)u(t) ork
In a continuous-time system, the laplace transform of the input X(s) and the output Y(s) are related by Y(s) = 2 (s+2)2 +10 a) If x(t) = u(t), find the zero-state response of the system, yzs(1). yzs() = b) Find the zero-input response of the system, yzi(t). Yzi(t) = c) Find the steady-state solution of the system, yss(t). Yss(t) =
5- For the following system: x( Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F, C2-1F. Identify the natural and forced response of the system a) Find the zero input response. b) Unit impulse response. c) zero state response. d) The total response. e Identify the natural and forced response of the system.
5- For the following system: x(
Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F,...
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Problem 18.2 For the following circuit, when input V(t)Acos(5000), we measure steady-state output ).3416cos(5000t +0), and when V (t)- Acos(8000r) we measure steady-state output r_(t)-1.1714cos(8000t +0,). If R-100Ω, find A, 9,4, and L. Vout Vin Fig 26.2: Passive RL circuit. A-1.5 V, L-10 mH,0,--0.46 rad, θ2-_0.67 rad Problem 18.2
Problem 18.2 For the following circuit, when input V(t)Acos(5000), we measure steady-state output ).3416cos(5000t +0), and when V (t)- Acos(8000r) we measure steady-state output r_(t)-1.1714cos(8000t +0,). If R-100Ω, find...
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2) An oscillator is described by # +2 +5x f(t), where x is the output d) Find the State Space form e) Decouple the state equation and obtain the transformed state-space form f) State whether the system is stable or not g) Comment on the type of solutions obtained
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
For the motor represented by, G(s)=10/s(0.001s+1) What is the steady state ? What is the steady state position error of this system for a step change in the desired input? What is the required gain K in order to yield a steady state error to 0?
Since no "m" term is given, does that mean there is no mass?
(10%)5、GIVEN: bx+kx-F=8sin(ar) where b and k ROD: What value of o maximizes the amplitude of the steady state output, x,t) are positive constants and ω > 0 is a constant where x, (t) of course denotes the steady state part of x(t) IINI
(10%)5、GIVEN: bx+kx-F=8sin(ar) where b and k ROD: What value of o maximizes the amplitude of the steady state output, x,t) are positive constants and...
An LTI system, with an input g(t) and an output y(t), is represented with the following state and output matrices. Assuming a zero-state condition, identify the steady state error if the system is subject to a unit step function. [x1 [x2. ) = [] : [22] + [3] AND y = [2 -1) [x3] + [2]g 4. 0 2 1 3 5