Given:  Students able to use concepts of:  (NOTE:  These are all outcomes from ELEC320, Linear Systems.)

• Differential equations - using Laplace transforms to solve them.
• Poles and zeroes of a transfer function and impedance.
• s-impedances.
• Network functions - frequency response.

After the course, be able to do the following:

• (System Identification) Make measurements of a system and determine a transfer function.
• (Time Response/Root Locus) Implement a proportional control system and make performance predictions, including SSE, response speed and relative stability
• (Time Response/Root Locus)Implement an integral control system and make the same performance predictions
• (Frequency Response Analysis) Design and implement a lead or lag compensator.
• (General Design) Design and implement a fuzzy control system.  NOT FOR THIS YEAR.
• (Sampled Systems) Design and implement sampled control systems.
• (Laboratory)  Design experiments to measure system parameters.
• (Laboratory)  Implement, test and evaluate various control algorithms.
• (Team Development) Be able to assume responsibility in a team while rotating assignments/roles.

1. These general goals will be reached when the course outcomes (listed below in the categories listed above) are achieved.
2. Items in green are new/revised Fall 04

1.1 Given a step response for a system:
• Determine if the system is first or second order.
• If the system is first or second order, determine the transfer function with numerical parameters.


1.2 Given a frequency response (Bode' plot) for a system:

• Determine the frequency response for the system in terms of first and second order factors.

2.1 Given a feedback control system with proportional control,
• Determine the system type and compute SSE for step and ramp inputs.
• Determine the proportional controller gain that will produce a given SSE for a step input in a Type 0 system.
• Determine the proportional controller gain that will produce a given SSE for a ramp input in a Type 1 system.


2.2 Given a first order linear system,

• Determine the closed loop DC gain and closed loop time constant in a proportional control system.


2.3 Given a feedback control system,

• Sketch the root locus for the system.


2.4 Given a feedback control system and the root locus for the system,

• Determine the proportional controller gain(s) that will produce a given damping ratio in complex poles.
• Determine if the system becomes unstable for any value of gain.
• Determine the proportional controller gain(s) that will produce instability.
• Determine the value of proportional controller gain that will produce poles that are to the left of a given point along the negative real axis.


2.5 Given a requirement for speed of response - rise time or settling time,

• Determine permissible s plane locations for poles to produce that speed of response.

3.1 Given a system
• Sketch the Nyquist plot for the system.
• Sketch the Bode plot for the system.
• Sketch the Nyquist plot from the Bode' plot and vice versa.


3.2 Given a feedback control system and the Nyquist plot for the system,

• Determine the value of gain that will produce instability in the system.
• Determine the value of gain that will produce a prescribed phase margin in the system.


3.3 Given a feedback control system and the Bode' plot for the system,

• Determine the value of gain that will produce instability in the system.
• Determine the value of gain that will produce a prescribed phase margin in the system.
• Determine SSE for a given value of gain.


3.4 Given a feedback control system and the Bode' plot for the system,

• Determine the value of gain that will produce a specified speed of response.
• Determine the value of gain that will produce a specified phase margin.
• Determine the value of gain that will produce a specified SSE.

4.1 Given a transfer function for a system,
• Determine parameters for a lead compensator to meet specified requirements on phase margin, SSE and speed of response.


4.2 Given a lead compensator,

• Determine a circuit (active circuit as necessary) to implement the compensator.
• Implement the compensator in either C/C++ (Console or Visual version), Lab View or Visual Basic, using either A/D and D/A board(s), IEEE-488 instruments or web-based instruments.


4.3 Given a required CL pole position

• Set system parameters (zero location, pole location in a compensator) to produce a closed loop pole at the required position.

5.1 (Lab Identification) Given a sample system (one of the systems in the controls lab, or another system approved by the instructor)
• Design an experiment to take measurements of the time response or frequency response of the system.
• From the time response or frequency response obtain a mathematical model of the system.


5.2 Given a sample system (one of the systems in the controls lab, or another system approved by the instructor)

• Implement a proportional control system for the chosen system.
• Evaluate the performance of a proportional control system with regard to accuracy, speed of response, relative stability and sensitivity to parameter changes.


5.3 Given a sample system (one of the systems in the controls lab, or another system approved by the instructor)

Implement an integral control system for the chosen system.

Evaluate the performance of an integral control system with regard to accuracy, speed of response, relative stability and sensitivity to parameter changes.

5.4 Given a sample system (one of the systems in the controls lab, or another system approved by the instructor)
• Implement a control system - not proportional or integral - for the chosen system.
• Evaluate the performance of  the control system with regard to accuracy, speed of response, relative stability and sensitivity to parameter changes, and improve performance beyond what is achievable with proportional or integral control.

6.1 Given a sampled system
• Design and implement sampled control systems using Z-transform methods.
• Convert analog controllers and compensators to digital forms and implement those forms in a programming language (C, Visual Basic, LabVIEW or Matlab).

7.1 In a team (homework or laboratory)

Be able to distinguish effective team processes from ineffective team processes.

Be able to apply principles of constructive conflict management.

Be able to share responsibility with other team members, accept responsibility for a role and to support others in their roles.

To be a good team member - i.e. follow through on commitments, be on time for meetings, maintain an appropriate balance between listening and speaking, be adaptable to demands of situations and constraints and not critical of other team members when not in their presence.  (Function well in a team)

Given a physical description of a system (electrical, mechanical, fluid, thermal):
• Use physical principles (KCL, KVL, Newton's laws, flow equations) to determine the transfer function of the system.


Given a transfer function for a system:

• Determine the state equations of the system.


Given the state equations for a system:

• Calculate the response of the system to an input.