For the following closed loop control system, the characteristic polynomial is: s5+ 5s4 + 10s3 + 10s2 + 5s + K Determine the values for K for which the system is stable.
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- For the given close-loop system transfer function, determine its stability using Routh-Hurwitz Test for Stability.1. What is the stability of the system? (Stable, Unstable, Marginally Stable)The Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space model is given by: x = 0 00 -30.3 0.00012 -6.02 0 0 0 -3.77 00 0 -2.80 0 0 Is the system?: a. unstable b. C. not unstable x+ 6.15 0 0 0 0 3.04 0 0.052 not asymptotically stable d. asymptotically stable -1 u y = 0 0 0 0 -7.3 0 0 -25.0 X2- Using Matlab, what are the step response curves of the closed-loop system, as shown in fig.1. the feedback represents the second-order dynamic system. (fill in the following table) For=0.4 Wn 1 3 6 9 10 R(S) 0.1 0.3 0.6 0.9 1 For w 5 rad/sec 3 Settling time Peak response 2 Wn s(s+23wn) Settling time Peak response C(s) Discuss the follow Which parameters or w occur on the rise time of the response? Which parameter increases the speed of response? Which parameters can be decreases the response amplitude? Which parameter decreases the steady error state? fig.2
- If a system transfer function has two complex roots in the denominator, it is described as: O being underdamped being overdamped being critically damped O having no dampingQuestion 5: A model for a single joint of a robotic manipulator is shown in Figure below. The usual notation is used. The gear inertia is neglected and the gear reduction ratio is taken as 1:r (Note: r < 1). a) Draw a linear graph for the model, assuming that no external (load) torque is present at the robot arm. b) Using the linear graph derive a state model for this system. The input is the motor magnetic torque Tm and the output is the angular speed o, of the robot arm. What is the order of the system? Jm m (viscous) 1:r Motor Robot Arm Gear Box (Light)/Simulate to solve the following ordinary differential equation by using Simulink tool box and represent the output result. x(t)= sin(3t) = 3x(t) + 1-2y dt
- The ratio of output to input of a system in Laplace domain is known as Transfer function . Select one: True FalseIf a system transfer function has two complex roots in the denominator, it is described as: being underdamped being overdamped having no damping being critically dampedGiven the following state-variable models, obtain the expressions for the matrices A, B, C, and D for the given inputs and outputs. The output is x₁; the inputs are 4₁ and 42. X₁ = -9x1 +5x2 + 3u1 2-9x2 +2u2
- Give a physical example for feedback control systems. Sketch the block diagram with input and output variables: Missile launch systemMATLAB support with the following:9 Reduce the following block-diagram into one block. (Describe the control system with one transfer function and write it.) * W2 W1 W3