![1. Design a lead compensator for the closed-loop (CL) system whose open loop transfer function is given below. Design objectives: reduce the time constant by 50% while maintaining the same value of the damping ratio for the dominant poles. Please note that H(s)=1. Please use the method based on root locus plot. G(s)=2 / [s(s+2)] Please include detailed step. 1) Obtain the location of the desired dominant poles. 2) Draw the root loci of the CL system without the lead compensator 3) Calculate the angle deficiency. 4) Determine the location of the pole associated with the lead compensator if the zero is chosen to be at (-2.5, 0) 5) Obtain the gain value of the compensator (Hint: use the Magnitude Condition) 6) Write the complete expression of the lead compensator.](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2022/04/90.png?w=1170&ssl=1 "1. Design a lead compensator for the closed-loop (CL) system whose open loop transfer function is given below. Design objectives: reduce the time constant by 50% while maintaining the same value of the damping ratio for the dominant poles. Please note that H(s)=1. Please use the method based on root locus plot. G(s)=2 / [s(s+2)] Please include detailed step. 1) Obtain the location of the desired dominant poles. 2) Draw the root loci of the CL system without the lead compensator 3) Calculate the angle deficiency. 4) Determine the location of the pole associated with the lead compensator if the zero is chosen to be at (-2.5, 0) 5) Obtain the gain value of the compensator (Hint: use the Magnitude Condition) 6) Write the complete expression of the lead compensator.")
![1. Design a lead compensator for the closed-loop (CL) system whose open loop transfer function is given below. Design objectives: reduce the time constant by 50% while maintaining the same value of the damping ratio for the dominant poles. Please note that H(s)=1. Please use the method based on root locus plot. G(s)=2 / [s(s+2)] Please include detailed step. 1) Obtain the location of the desired dominant poles. 2) Draw the root loci of the CL system without the lead compensator 3) Calculate the angle deficiency. 4) Determine the location of the pole associated with the lead compensator if the zero is chosen to be at (-2.5, 0) 5) Obtain the gain value of the compensator (Hint: use the Magnitude Condition) 6) Write the complete expression of the lead compensator.](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2022/04/90a.png?w=1170&ssl=1 "1. Design a lead compensator for the closed-loop (CL) system whose open loop transfer function is given below. Design objectives: reduce the time constant by 50% while maintaining the same value of the damping ratio for the dominant poles. Please note that H(s)=1. Please use the method based on root locus plot. G(s)=2 / [s(s+2)] Please include detailed step. 1) Obtain the location of the desired dominant poles. 2) Draw the root loci of the CL system without the lead compensator 3) Calculate the angle deficiency. 4) Determine the location of the pole associated with the lead compensator if the zero is chosen to be at (-2.5, 0) 5) Obtain the gain value of the compensator (Hint: use the Magnitude Condition) 6) Write the complete expression of the lead compensator.")
![1. Design a lead compensator for the closed-loop (CL) system whose open loop transfer function is given below. Design objectives: reduce the time constant by 50% while maintaining the same value of the damping ratio for the dominant poles. Please note that H(s)=1. Please use the method based on root locus plot. G(s)=2 / [s(s+2)] Please include detailed step. 1) Obtain the location of the desired dominant poles. 2) Draw the root loci of the CL system without the lead compensator 3) Calculate the angle deficiency. 4) Determine the location of the pole associated with the lead compensator if the zero is chosen to be at (-2.5, 0) 5) Obtain the gain value of the compensator (Hint: use the Magnitude Condition) 6) Write the complete expression of the lead compensator.](https://i0.wp.com/electricalstudent.com/wp-content/uploads/2022/04/90b.png?w=1170&ssl=1 "1. Design a lead compensator for the closed-loop (CL) system whose open loop transfer function is given below. Design objectives: reduce the time constant by 50% while maintaining the same value of the damping ratio for the dominant poles. Please note that H(s)=1. Please use the method based on root locus plot. G(s)=2 / [s(s+2)] Please include detailed step. 1) Obtain the location of the desired dominant poles. 2) Draw the root loci of the CL system without the lead compensator 3) Calculate the angle deficiency. 4) Determine the location of the pole associated with the lead compensator if the zero is chosen to be at (-2.5, 0) 5) Obtain the gain value of the compensator (Hint: use the Magnitude Condition) 6) Write the complete expression of the lead compensator.")
1. Design a lead compensator for the closed-loop (CL) system whose open loop transfer function is given below. Design objectives: reduce the time constant by 50% while maintaining the same value of the damping ratio for the dominant poles. Please note that H(s)=1. Please use the method based on root locus plot. G(s)=2 / [s(s+2)] Please include detailed step. 1) Obtain the location of the desired dominant poles. 2) Draw the root loci of the CL system without the lead compensator 3) Calculate the angle deficiency. 4) Determine the location of the pole associated with the lead compensator if the zero is chosen to be at (-2.5, 0) 5) Obtain the gain value of the compensator (Hint: use the Magnitude Condition) 6) Write the complete expression of the lead compensator.
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