Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 3, Problem 7RQ
What is required to represent a system in state space?
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For the following state-space representation,define the:– State Vector– System Matrix– Feedforward Matrix– Input Matrix & Input Vector– Output Matrix & Output Vector
This question asks for matrix form and NOT state space, but I don't understand what the difference between the two are.
Summarize five key steps involved in defining a
system using state-space approach.
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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- 1) 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_forwardGet representation in State Variablesarrow_forwardFind a state space representation of the network shown below when the output is the displacement on m Let my = 2 kg, m₁ = 4kg, F = 10 N, b₁ = 1 Ns/m, b2 = 2 Ns/m, k₁ = 2 N/m, and k2 = 4 N/m, Force of material placed in truck bed M Truck vehicle mass Shock absorber www www A Tirearrow_forward
- Represent the translational mechanical system shown in state space, where x3(t) is the output.arrow_forwardAnswer 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) Obtain a state space model of the system. 2) Given m =1 kg, k = 1 N/m and b = 1 N.s/m is the system Controllable? 3) For what values of k,m,b the system is stable? Explain your answer?arrow_forward
- k₁ B₁ Fs(t) ww k2 12 m B2 Figure 4: A translational system 2. Consider a translational system shown in Fig. 4. Answer the following questions. (a) Draw a linear graph and write down all the elemental equations. (Don't draw the normal tree yet.) (b) From the elemental equation you write down, identify three variables that can potentially serve as state variables and explain why. (c) Are these potential state variables independent of each other? If not, use either conti- nuity or compatibility equation to prove it. How would you choose your state variables? (d) Draw a normal tree to see if there is any dependent energy storage element. What are the state variables according to your normal tree? Are they consistent with the explanation in the Part (c)?arrow_forwardDescribe the concept of a transfer function in the context of system modeling. How is it used to represent a system's behavior?arrow_forwardFind: State-space representation Note: Output of mechanical system is X3(t) Given: M1=1 kg, M2=1 kg, M3=1 kg K1=1 N/m, K2=1 N/m Fv1=1 N-s/m, Fv2=1 N-s/m, Fv3=1 N-s/m, Fv4=1 N-s/marrow_forward
- Represent the translational mechanical system shown below in state space, where x3(t) is the output. State variables ニュ=X 3 = X2 Let -4 = X2 Es = X3 E6 = X3 x1(t) x2(t) x3(t) 1 N-sim 1 N-sim 1 Nim 1 Nim 1kg 1kg 1 kg J1 J2 J3 Fit)arrow_forwardRepresent the translational mechanical system shown in Figure P3.5 in state space, where x1(t) is the output. [Section: 3.4] x2(1) x3(1) M3 = 1 kg fv, = 1 N-s/m fv,= 1 N-s/m K1 = 1 N/m 000 M: = 2 kg + x1(1) f() -- K2 = 1 N/m M1 = 1 kg fv,= 1 N-s/m FIGURE P3.5arrow_forwardDraw the state diagram of a High-Level State Machine that describes the operation of a light sequencer for a traffic light. Green should be on for 100 clock pulses, yellow for 20 clock pulses, and red for 70 clock pulses, for this particular street direction.arrow_forward
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