Problem 1: Convert the following transfer function model into state-space model and sketch its block diagram with x defined as the leftmost state variable. 2s2 +8s +6 s3 +8s2 +16s+6 Problem...
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
6. For the transfer function 5s2 +23s+81 H(s) = s3 +11s 43s +27 +11 s. (a) Sketch the DF2 (canonic) block diagram (b) Give A, B, and C for the state vector model 6. For the transfer function 5s2 +23s+81 H(s) = s3 +11s 43s +27 +11 s. (a) Sketch the DF2 (canonic) block diagram (b) Give A, B, and C for the state vector model
HW #6 1. Answer the following questions. (a) Convert the transfer function to the state-space representation 4 G)33+2 (b) Convert the state-space representation to the transfer function. X2 y=(11) Cl X2
Convert following the transfer function into state space representation (Marks 5) 3 +45² T($) = 54 +52 +7 Convert the following state space into a transfer function. (Marks 5) x = 11 * = x + ( u 21 y = [02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) i [ 10] [21. *= 15 2]* +11 y = [ 02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) -1 0x+lu x =...
Simplify the following block diagram. Obtain the transfer function from R to C for Fig. 1, and the transfer function from X(s) to Y(s) for Fig. 2.Convert the block diagram of figures 1 and 2 to a signal flow graph.Below are the diagrams:
from the following model of a discrete process in the state space obtain its transfer function given by fp(z) = C(ZI – G)-'H. x(k+1) = 11.23 1.63] «(k) + [9] u(k) y(k) = [1 0]x(k)
6 For the following block diagram, the transfer function is: (2 Points) R L X Uis) R с C
1- A system has a block diagram as shown. Determine a state variable representation (model) and state transition matrix Φ(s) R(s) + 25 Y(s) 25 2- A system has the following differential equation: 2 -3 Determine Ф(t) and its transform D(s) for the system
I will rate, thank you Find the transfer function for the following state space model (hint: You only need to calculate 4 of the 9 entries in the adjoint matrix): 31 2 -3 1 (t) 0 0)u(t) 1 2 -1
The state variable model of the two tanks process is given by the equations r1 10 01 r1o 2 0-1 lu Tank 1 Tank 2 Explain the differential equations for the tanks Draw the block diagram for the system model * .Modify the block diagram to realize the system model by first order transfer functions: 1+Ts Determine the controllability and observability of the system model Design a full-state feedback with the eigen values λ-λ2--2 of the closed loop system Design...