Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 3, Problem 4RQ
Define state.
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Draw a state machine diagram to represent the possible states and transitions for a Job object, as described below:
A plumbing job at Plumbers R Us can be in one of several possible states. When the customer first phones the plumber with a request, the job is recorded. The job is then scheduled, subsequently completed, and finally invoiced and paid for. Sometimes a job is cancelled without being completed, in which case it is not invoiced.
For the following state-space representation,define the:– State Vector– System Matrix– Feedforward Matrix– Input Matrix & Input Vector– Output Matrix & Output Vector
2. The state-equations of the control system shown in Fig.1 is:
U(s)
2
Y(s)
s(s? + 3s + 12)
Chapter 3 Solutions
Control Systems Engineering
Ch. 3 - Prob. 1RQCh. 3 - State an advantage of the transfer function...Ch. 3 - Define state variables.Ch. 3 - Define state.Ch. 3 - Define state vector.Ch. 3 - Define state space.Ch. 3 - What is required to represent a system in state...Ch. 3 - 8. An eighth-order system would be represented in...Ch. 3 - If the state equations are a system of first-order...Ch. 3 - Prob. 10RQ
Ch. 3 - What factors influence the choice of state...Ch. 3 - What is a convenient choice of state variables for...Ch. 3 - If an electrical network has three energy-storage...Ch. 3 - Prob. 14RQCh. 3 - Prob. 1PCh. 3 - Represent the electrical network shown in Figure...Ch. 3 - Prob. 3PCh. 3 - Represent the system shown in Figure P3.4 in state...Ch. 3 - Represent the rotational mechanical system shown...Ch. 3 - Represent the system shown in Figure P3.7 in state...Ch. 3 - 8. Show that the system of Figure 3.7 in the text...Ch. 3 - Find the state-space representation in...Ch. 3 - MATLAB ML 10. Repeat Problem 9 using MATLAB....Ch. 3 - For each system shown in Figure P3.9, write the...Ch. 3 - MATLAB ML
12. Repeat Problem 11 using MATLAB....Ch. 3 - 13. Represent the following transfer function in...Ch. 3 - Find the transfer function G(s) = Y(s)/R(s) for...Ch. 3 - MATLAB ML
15. Use MATLAB to find the transfer...Ch. 3 - 17. A missile in flight, as shown in Figure P3.10,...Ch. 3 - Given the dc servomotor and load shown in Figure...Ch. 3 - Prob. 20PCh. 3 - Prob. 23PCh. 3 - Experiments to identify precision grip dynamics...Ch. 3 - State-space representations are, in general, not...Ch. 3 - Figure P3.16 shows a schematic description of the...Ch. 3 - Prob. 28PCh. 3 - A single-pole oil cylinder valve contains a spool...Ch. 3 - Figure P3.17 shows a free-body diagram of an...Ch. 3 - 33. Parabolic trough collector. A transfer...
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- Answer the following (words, not equations): a) State space analysis - what/why/how we do it b) Short period, Phugoid, Dutch roll, Roll, and Spiral - what do these collectively represent?arrow_forward1. Reduce the following differential equation to the state space equation form. a. y" (t) + 3y' (t) + 2y (t) = u(t) b. y" (t) = u(t) — b₁y' (t) — boy (t) c. 4y" (t) cos (t) y' (t) + sin (t) y (t) = u(t)arrow_forwardSummarize five key steps involved in defining a system using state-space approach.arrow_forward
- 3arrow_forward7arrow_forward1) a) Derive the mathematical model for the system shown below. b) Find a state variable model (matrix form) for the system. b) Determine state matrix, input matrix, and output matrix, when f (t) is defined as the input and X2 is defined as output for the system. (Here, both of the X1 and x2 , are time-dependent functions) » f(t) X1 X2 3,000 N 1,000 N 4,000 30 kg 20 kg 200 유 N.sarrow_forward
- Use MATLAB to obtain a state model for the following equations; obtain the expressions for the matrices A, B, C, and D. In both cases, the input is f(t); the output: is y. a. 5d³yd²y +7. b. dy +3 dt³ dt² dt Y(s) 5 = F(s) s² +7s+4 - +6y=f(t)arrow_forwardProblem 1: Write the transfer function of the systems. Problem 2: Write the differential equation and state space equation describing the following system. Please answer both the problems.arrow_forward1arrow_forward
- can i get help for B only.arrow_forwardIn this problem, you will have to first create a Python function called twobody_dynamics_first_order_EoMS. Given a time t and a state vector X, this function will return the derivatives of the state vector. Mathematically, this means you are computing X using some dynamics equation X = f(t, X). Once you have this function in Python, you can solve the differential equations it contains by using solve_ivp. The command will be similar to, but not necessarily exactly, what is shown below: solve_ivp(simple_pendulum_first_order_EoMS, t_span, initial_conditions, args=constants, rtol 1e-8, atol 1e-8) which integrates the differential equations of motion to give us solutions to the states (i.e., position and velocity of a satellite). In the above, t_span contains the initial time to and final time tƒ and it will compute the solution at every instant of time (you will define this later in Problem 1.3 below). The integration is done with initial state vector Xo which defines the initial position…arrow_forward4- Represent the system shown in Figure P4 in state space where the output is OL(t). T(t) N₁ = 30 2 N-m/rad 3 N-m-s/rad oooo N-m/rad N3 = 10 farm FIGURE P4 10 N₂= 300 I▬▬▬▬▬▬▬▬ N4 = 100 200 N-m-s/radarrow_forward
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