Find state space variables and equation
Mechanical Engineering Ball space 01. G.9 Define state variables and obtain the state-space format for the following equation wit. input derivatives (assume that u(t) is a step input): ż + 0.1ż + 0.52 = 24 + u with z(0) = -1, ż(0) = 10 and u(t) = 0.0 for t < 0 u(t) = 1.0 for 1 20
use state space method to find expression decalat due to impulse if siff. equation : van de ser +4 Y= ult) No intiel Condition?
9. For the transfer function: Find its state space representation. 10. A system is described by the following differential equations: Find its state space representation.
Problem 1. Derive the state space model for each of the following circuit, using voltages on the capacitors as the state variables: tot Problem 2. Find the state space representation for the system with the following signal flow graph.
variables as xi-yi, x2 y2, x Is 1O and the output is ys(). Determine the state-space matrices For the mechanical system shown, choose the state 3. xs ys Input is fo) [A], [B], [C], and [D]. Va(t) м,-4kg f(t) 24N-s/m
Problem 4. Transfer function to state space form Find the state-space form of the following transfer func- tions (see Section 4.4.1 in the book). This requires zero computation, it just requires you understand how a SISO transfer function relates to the state space form shown in the book. a) = Y(s) _ 68 +3 G(s) s3 + 26s2 5s 50 b) Y(s) + 2s2 + 4s 6 U(s) s3 +12s +12
A) For the schematic above find the state-space equations that define this system. B) Using the controllability rank test determine if this system is controllable. C) Using the observability rank test determine if this system is observable. 1. Controllability and Observability L = 100 m R1 = 10 Ohms Mm R2 = 100 Ohms R4 = 100 Ohms ( = 100 microfarads ult) 1V R3 = 100 Ohms R5 = 100 Ohms Xı = i(t) y = valt) vi(t) =...
State Space 37. Given the following state-space re- presentation of a system, find Y(s): [Section: 4.10] SS *= [ __ __}}x+ [1]sin 31 y = [1 2]x; x(0) = Pi)
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 each form show both state space equation and signal flow graph. Can you also include the Matlab code Problem 2. The system is given by its phase variable form state space equations 0 1 0 x(t) = | |x(t) + r(t) 0 -48-44 -12 0 y(t) 7 30lx(t) a) Find the transfer function of the system, and represent the system in cascade, parallel, controller-canonical, and observer-canonical forms. For each form show both state space equations and signal-flow graph. Do...