Complete the following bond graphs and write the state space equations. Then, put the SS equations in the matrix form.
Complete the following bond graphs and write the state space equations. Then, put the SS equations...
Write, but do not solve, the mesh equations for the network shown. Put the equations in matrix form. L1 R1 L2 12 R2 R4 v(t) 13
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) =...
CONTROLS
2 Consider the transfer function V (s) Put the system in state space form. Compute the eigenvalues of the resulting A matrix. Is the system stable?
2 Consider the transfer function V (s) Put the system in state space form. Compute the eigenvalues of the resulting A matrix. Is the system stable?
write the state space equation using the following
states
also write the CCRs , ssrs , free body diagram
and finally state space equation
Figure 1: Cart-pendulum system. 7. Bonus Marks: Verify that the ODEs given in (1) and (2) model the cart pendulum. The following hints may be useful: (a) You want to largely follow the procedure taught in class. (b) Select a, e, i and 6 as states. List your inputs, CCRs and SSRs. Make sure to write...
Determine a set of state equations and an output equation for the system that is described by the following differential equation. Put the results in matrix form y''(t)+7Y'(t)+3y(t)=4u'(t)+5u(t)
2) Write nodal equations for the circuit in Figure 4 (put in matrix notation). Solve your equations using MATLAB and calculate Vo. Repeat using mesh analysis. Include both your nodal and mesh equations, MATLAB code, MATLAB solutions (polar form), and any calculations required using your MATLAB solutions in your lab report. Vi 4/0° A 1Ω V3 1Ω
(10 ea) For the following system transfer functions, draw the signal-flow graphs, write the Concerning an open-loop version of the system above, write the state and output functions, and represent the systems in state space in Jordan canonical form. 3. (s+3)2 (s+4) G(s)=-(s+7) G(s) (s+4) s+ b) c) (s+2)2(s+5)(s+6)
(10 ea) For the following system transfer functions, draw the signal-flow graphs, write the Concerning an open-loop version of the system above, write the state and output functions, and represent the...
1. Write the state-space equations for the system shown below ri (t) +2 (t) u (t) Figure 1: System of Problem#1 2. Evaluate the state transition matrix eA for the matrix below and find the homogenous solution given x (0) 1 1 ] A=10-21 3. Find the power lution in powers of x. Show the details of your work. s (b) y" +4y=0 4. Determine if either the Frobenus or regular power series could be the method of your choice...
8. Write down the state space equation for the system shown below US) + 2 y(s) $+3 2 s(s+1) 9. Derive the state space equation for the system shown where the coefficients of the system matrix are in diagonal form and the elements of the control matrix are unity. U(S) 1 X2 $+2 X 3+1 X = y $+3 $+4 S
Complete and balance the equations, predict solubilities, and
write complete ionic equations for the following: (see attached
image)
4. Complete and balance the equations, predict solubilities and write complete ionic equations for the following: (c) K2Co BaCl2 (d) NaoH H3PO4