Electrical and Computer Engineering Homework Solutions

Lead Compensator Question

See attached file for full problem description.

Prove that state equations belong to the RLC circuit

See attached file for full problem description. This should be easy, but I am making a mistake after I substitute equation #2 values into equation #1.

Bode plot, nyquist, root locus

Bode plot, nyquist, root locus. See attached file for full problem description.

Controller Design

Please explain design steps using bode plots and different stages of Inverse Nichols Chart. See attached file for full problem description.

GAIN AND PHASE MARGIN-robust stability margin

Minimum Gains and Phase Margins. See attached file for full problem description.

Closed Loop Transfer Function Problem

Derive an expression for the closed loop transfer function: h(s) = Y(s) ---- R(s) for a gain k = 10. Work i have done so far: Ea(s) = R(s) - B(s) = R(s) - H(s)Y(s) Because the output is related to the actuating signal by G(s), we have Y(s) = G(s) Ea(s) Therefore: Y(s) = G( ...continues

Basic PLC problems

Basic PLC problems. See attached file for full problem description.

Define the equations in matrix form

Write the equations in standard matrix form and identify the A, B, C, and D matrices Draw a simulation (block) diagram. See attached file for full problem description.

Find the state models for the systems

Find the state models for the systems. See attached file for full problem description.

Basic PLC problems

Basic PLC problems. See attached file for full problem description.

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