Consider the circuit in Fig. q.3 with an input voltage source u(t) and an output current...
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Consider the circuit in Fig. q.3 with an input voltage source u(t) and an output current y(t). (a) Write the state and output equations for the system. (b) Find the conditions relating R₁, R₂, C, and L that render the system uncontrollable. (c) Find the conditions relating R₁, R₂. C. and L that render the system unobservable. (d) Find the transfer function of the system and discuss the reason for conditions derived in part (b) and (c) (that is, when the system is uncontrollable or unobservable). (e) (bonus) Interpret the conditions found in part (b) and (c) physically. y (1) u (1) z N 152 R1 L Consider the circuit in Fig. q.3 with an input voltage source u(t) and an output current y(t). (a) Write the state and output equations for the system. (b) Find the conditions relating R₁, R₂, C, and L that render the system uncontrollable. (c) Find the conditions relating R₁, R₂. C. and L that render the system unobservable. (d) Find the transfer function of the system and discuss the reason for conditions derived in part (b) and (c) (that is, when the system is uncontrollable or unobservable). (e) (bonus) Interpret the conditions found in part (b) and (c) physically. y (1) u (1) z N 152 R1 L
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Starting Out With Java From Control Structures Through Data Structures
ISBN: 9780133957051
6th Edition
Authors: Tony Gaddis
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