Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 3, Problem 12RQ
What is a convenient choice of state variables for electrical networks?
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1) 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?
Explain the state space function
step by step processsubject:Dynamics of Rigid bodies
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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- How small does a physical system have to be to qualify as a lumped-parameter system?arrow_forwardConsider a physical system with a three-dimensional state space. An orthonormal basis of the state space is chosen. In this basis the Hamiltonian is represented by the matrix H = [2 1 0 1 2 0 0 0 3] What are the possible results when the energy of the system is measured? A particle is in the state| psi > which is represented in this basis as, with i = Squareroot (-1), 1/Squareroot 3 [i -i i] Find , , and Delta H.arrow_forwardDefine the State Postulate?arrow_forward
- How can a transfer function be derived from a system model, and what information does it provide about the system's behavior?arrow_forwardsystem modelling and analysısarrow_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
- Get representation in State Variablesarrow_forwardConsider a system composed of two subsystems in contact. The dividing wall is movable, conducting, and porous. Derive which state variables are conserved at equilibrium.arrow_forwardcan you please show me how we can determine the freedom degree of systems ? like these in the picure please I want step by step how we determine that !arrow_forward
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