A system has a characteristic equation s^3+2s^2+(k+1)s+8=0 Determine the range of K for a stable system Question 5 options: K<3 K<4 K>4 K>3
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A system has a characteristic equation s^3+2s^2+(k+1)s+8=0 Determine the range of K for a stable system Question 5 options: K<3 K<4 K>4 K>3
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- 3. Sketch a house's heating system which containing a gas furnace that heats water which circulates to radiators on the walls, and a thermometer that is connected to a control module that can turn the furnace on or off. The outside temperate is Text, the inside temperature is T, and the desired temperature is Ta. Describe the elements of the feedback control loop.The ratio of output to input of a system is known as Transfer function. Select one: O True O False Coloct the cinmple cuctom fcom the fellouuing9 Reduce the following block-diagram into one block. (Describe the control system with one transfer function and write it.) * W2 W1 W3
- block diagram pls solve fast As Simplify the multiple loop feedback control system? R(s) G₁ G₂ H3 H₂ + G3 H₁ G₁ Y(s)The open loop transfer function of a humanoid's arm control system is given as: K G(s) = 2 s(s + 2s + 2) (a) Clearly locate all poles and zeros on a linear graph paper. Provide calculations for the following: asymptote angles, centroid for asymptotes, and departure angle from complex pole. (b) Plot the complete root locus, with the locus on the real axis is clearly shown. Use the scale of 4 cm : 1 unit for both axes and choose the longer side of the graph paper as the real axis.Figure Q2 shows the block diagram of a unity-feedback control system Proportional Controller Plant R(s) C(s). s(3s +1) 5+2s² +4 K 2.1- Determine the characteristic equation. 2.2- Using the Routh-Hurwitz criterion to determine the range of gain, K to ensure stability and marginally stability in the unity feedback syste m.
- Below is a very common feedback block system. It is a 1dof, and unity-feedback system. The input is the reference command R(s). This is what flows out of thin air, into the system. All other signals in the system (e.g. U, Y, etc.) will depend on R(s). R(s) a. E(s) e. K U(s) G Y(s) Write the algebraic relation between the output Y(s) and the reference R(s) in terms of G and K?. Write it in the format Y = some function of s * R b. What is the TF from R to Y, aka the closed loop TF? What is the "Loop TF" aka the "the open-loop TF"? G has zeros at ZG1, ZG2 etc. and poles at PG1, PG2 etc. C. K has zeros at ZK1, ZK2 etc. and poles at PK1, PK2 etc. What are the zeros and the poles of OLTF? What are the zeros and the poles of CLTF? d. Write the algebraic relation between the error E(s)=R-Y and the reference R(s) in terms of G and K? Write it in the format E = some function of s * R. What is the TF from R to E? Write the algebraic relation between the controller output U(s) and the reference…(Figure 1 One Wheel Model), Part1-(Derive equation of motion for a given system and obtain transfer function and state space representation.) , part2-(Draw closed-loop diagram for full-state- feedback controller.) , part3- (Select proper coefficient (u=-Kx) satisfying that .) part4- (Simulate the closed-loop system and show the response of it.) Note: Tahe Reference signal as With f = 0.1 Hz. !!!!!!!!! Please solve these steps, at least the first step which is writing the equations of motion of the system and the second step which is drawing closed loop diagram for Full state feedback controller.!!!!Q: Discuss the control system (the level controller and the temperature controllers) shown in figure (2). Specify the controlled and manipulated variable in each case. Discuss the type of the controller used in each case, that is, a simple feedback controller, a feedforward controller, a cascade controller, etc. Draw the block diagram of the temperature control loops. Feed Reactor temperature set point (master) TC Water surge tank i Jacket itemperature i set point (slave) TC LC-LT Reactor Cooling water out Product Cooling water makeup Circulation pump Figure (2)
- Q.4- A model for feedback control system employing both angular position and velocity feedback is shown in figure bellow .The equation describing d²0 do di the system is J di² - = • K.[V₁-K₁0. K₂0-Ka ((1) Summing V,(r) Motor 白口食 amplifier Velocity sensor K₂8 Position sensor Where J is the rotary inertia KandK are the position and velocity feedback gains, and K, is the gain between the input voltages to the motor torque produced. Derive expression for the closed loop system undamped natural frequency and damping ratio.1. Give an example of open loop and closed loop system (one example each). Also state the input, control system, feedback and output parameter. Example. 1. Open Loop - Water Heater: Input - Water Temperature (Cold) System - Heating Element Output - Water Temperature (Hot) 2. Closed Loop - Air-conditioning System Input - Desired Room Temperature Control - Motor controller/Compressor/ACU Feedback - Temperature Sensing Output - Room TemperatureConsider the plant with transfer function G(s) connected in standard feedback configuration with the controller De(s) = K. 1) 2) = s+2 (s+1)²+1 Sketch the root locus for G(s). Explain what rules you used to plot it. (Be sure to describe the following: the number of branches, where they start and where they are going; the real-axis portion of the root locus; jw-axis crossings (if any); points of multiple roots (if any).) What conditions need to be imposed if we want our closed-loop system to have no oscillations under a step input? Explain the conditions from the root locus. + Ro Σ Dc(s) G(s) Figure 1: Control system in Problem 1.