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Problem 1 A certain dynamic process is governed by the following differential equations where co const. is an exogenous variable. Assuming To is a measured quantity, a control law 1T1- is required...
Problem 1 A certain dynamic process is governed by the following differential equations: 121 +22+ u where xo = const is an exogenous variable. Assuming ro is a measured quantity, a control law...
Problem 1 A certain dynamic process is governed by the following differential equations: 121 +22+ u where xo = const is an exogenous variable. Assuming ro is a measured quantity, a control law is required, which 5, and . Places the closed loop poles at s =-8 . Forces T2 to zero in the steady state. Problem 3 Suppose that the exogenous i is of c2, i.e, nput zo is white noise with spectral density v, and that the only...
Problem A certain dynamic process is governed by the following differential equations x2 = x1-3T2 +...
Problem A certain dynamic process is governed by the following differential equations x2 = x1-3T2 + z0 where 20 const. is an exogenous variable. Assuming co is a measured quantity, a control law is required, which ·Places the closed loop poles at s =-8 ± j5, and Forces 2 to zero in the steady state. Calculate G1, G2, Go
Problem 1 An inverted pendulum driven by a d-c motor is governed by the following differential...
Problem 1 An inverted pendulum driven by a d-c motor is governed by the following differential and algcbraic equa tions: (a) Determine the transfer function of the process. (b) It is proposed to control the process using "proportional control": where yr is a constant reference value. Determine the value Kmir for which the gain K must exceed in order that the closed-loop system be stable. (c) Determine the value of K for which the magnitude of the error is less...
Problem 7.2 The differential equations for a second-order thermal system are y=x2 where u is the control input. (a) Show that the plant is type zero. As a consequence, the steady-state error using pr...
Problem 7.2 The differential equations for a second-order thermal system are y=x2 where u is the control input. (a) Show that the plant is type zero. As a consequence, the steady-state error using proportional control is non-zero. Find the steady-state error as a function of G (b) To achieve zero steady-state error, integral control will be used, by adding the state variable zo with which is appended to the original equations, making the system third-order. For the resulting third-order system,...
Problem 1 A certain dynamic process is governed by the following differential equations: 121 +22+ u where xo = const is an exogenous variable. Assuming ro is a measured quantity, a control law is required, which 5, and . Places the closed loop poles at s =-8 . Forces T2 to zero in the steady state. Problem 3 Suppose that the exogenous i is of c2, i.e, nput zo is white noise with spectral density v, and that the only...
Problem A certain dynamic process is governed by the following differential equations x2 = x1-3T2 + z0 where 20 const. is an exogenous variable. Assuming co is a measured quantity, a control law is required, which ·Places the closed loop poles at s =-8 ± j5, and Forces 2 to zero in the steady state. Calculate G1, G2, Go
Problem 1 An inverted pendulum driven by a d-c motor is governed by the following differential and algcbraic equa tions: (a) Determine the transfer function of the process. (b) It is proposed to control the process using "proportional control": where yr is a constant reference value. Determine the value Kmir for which the gain K must exceed in order that the closed-loop system be stable. (c) Determine the value of K for which the magnitude of the error is less...
Problem 7.2 The differential equations for a second-order thermal system are y=x2 where u is the control input. (a) Show that the plant is type zero. As a consequence, the steady-state error using proportional control is non-zero. Find the steady-state error as a function of G (b) To achieve zero steady-state error, integral control will be used, by adding the state variable zo with which is appended to the original equations, making the system third-order. For the resulting third-order system,...
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