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3) (16 pts) For each of the following system, determine whether it can be approximated by...
determine whether 20 total pts] For each of the following systems described by their input-output behavior, or not the system is (1) linear,(2) time-invariant, (3) causal. For each case, make sure that you explain why. a. (5 pts] y[n] Axn] +B where A and B are nonzero constants d. 5 pts] y[n] x[n cos(0.25n)
help 3. (30 pts) A dynamic system is represented by the following third-order transfer funct transfer function: 96 G(8) 75 +22)(52 +8s + 32) (a) Explain why a second-order approximation is valid for this system. For a step input, R(s) = . and an output, C(s), determine the following parameters for the non-normalized second-order approximation: (b) settling time (c) rise time (d) the steady-state value of c(t)
4. Suppose this 3-robot system can be approximated with their masses equally spaced away from each other, as in an equilateral triangle (see Fig. 1). Figure 1: Spinning Robots (a) (15pts) What is the moment of inertia of the system when the axis is perpendicular to the most massive of all the robots and their spacing is 1.20 m? (Perpendicular here means an axis going from the floor to the roof, through the robot.) (b) (10pts) How many times do...
For each of the following systems, determine whether the system is (1) stable, (2) causel, (3) linear, (4) time invariant, and (5) memoryless.
#5 (50 pts) Determine whether the following vector X is a solution of the given system (show all steps) x=()*: x=()*+()
1) (3 pts) For the following scenario, define a system and state whether the system is endothermic or exothermic: Water sits in a stone birdbath at sunset as the air temperature drops quickly from 3.00°C to-2.00°C.
66. The system shown in Figure P6.16 has G (s) = 1/s(s+2) (s + 4). Find the following: R(s) + E() K G,G) KES FIGURE P6.16 a. The value of K, for which the inner loop will have two equal negative real poles and the associated range of K, for system stability. b. The value of K, at which the system oscillates and the associated frequency of oscillation. c. The gain Ki at which a real closed-loop pole is at...
QUESTION 3 .1 List the two parameters of the second order system that helps to analyse the system perlormance 3.2 Parameters of a transfer function for a second order system are used to categorise the transfer function. Use the following transfer functions to categorise whether the system is underdamped, critically-damped or overdamped: a) G(s) 25/s+10st25 b) G(s) 36S-10s+36 c) G(s) 16/S+10s+16
Determine whether or not the following matrices can be transition matrix for a Markov chain and explain why.
Closed-Notes, Closed-Book, No Internet. Perform independently. Formula Sheet on the following page. Consider the following system transfer function: 30(s + 4.1) G(S) = (52 +65 +25)(s + 4) The system output due to a unit step input, R(s) = 1/s is: 1.23 S 0.04 S +4 1.19s + 7.29 (s + 3)2 + 16 a. Is a second-order approximation valid for this system? Show why or why not. If a second-order approximation is valid, perform the following: b. Determine the...