Determine a compensating function gcs such that one of the

Question

ASSIGNMENT - PID CONTROLLER

A plant is controlled as shown in the block diagram below:

The plant dynamics are represented by:

G(s) = 1/(s+0.5)(s+0.2)

Part 1: Theoretical compensating function

Determine a compensating function G_c(s) such that one of the poles is eliminated. Provide all calculations in detail with explanation.

Part 2: Computer simulation

Using the Matlab Control System Toolbox, provide the following items, providing documentation on your methods and commenting on your results.

1. Construct and document a model of the plant.

2. Construct and document the functions R(s) and C(s) for a step response and an impulse ?response on the input R(s).

3. Provide a Bode Plot.

4. Use an appropriate Matlab tool to determine the stability of the control system.

Part 3: Practical implementation study

Describe in one paragraph each, two possible methods of real-time practical implementation of a control system. Choose from non-programmable control systems hardware, programmable logic controller or robotics. Cite a practical commercial example of each.