Electrical and Computer Engineering Homework Solutions

1st Order Controller Design (Inverse Nichols Chart)

Given {see attachment}, use the Inverse Nichols Chart to design a simple G(s) to achieve the following specifications ... *Please see attachments for complete question and chart

Linear System Stability - Bode, Nyquist, Root Locus

Please answer the attached questions regarding linear system stability (Involves: loop transfer function; Bode plot; Nyquist diagram; gain, phase and robust stability margins; positive gain root locus)

Root Locus and Root Locus Design (Gain, Controller, Location of Contoller, Required Controller Gains)

Please help me with the attached root locus design question. (Involves: plotting the root locus, determining gain, designing a proportional and integral controller, determining the location of the controller zero, and finding the required controller gain)

Finding a transfer function...REVISED

The frequency response of a linear time invariant system has been measured and can be seen in the attachment file below. A feedback element with a transfer function, H(s), is to be chosen so that the sysytem steady-state error to a unit step input is equal to 0.07. What is a suitable transfer function to achieve this??? I am ...continues

Simulink - Modelling

Consider the following model of a cell growth in a bio-system. The state differential equation is... a) Identify the state variable, the inputs, outputs and parameters. (See attachment for full question)

Simulink - Modelling

Consider the model of a dc machine driving a mechanical load... Set up Simulink implentation diagram for the system with V a step from 200V to 300V at time t=2s. (See attachment for all questions)

Simulink - Modelling

Draw the Simulink implementation diagram for the following model of a system. Many other components to question, lots of background. (See attachment for full question and background)

Numerical integration

Please see the attached file for full problem description.

Numerical Integration

Question 2 (20 marks) a) For a fixed delta t(i+1)= delta t, the linear equation, x = Ax, x(t0)=x0 has the solution... Show that the Runge Kutta methos (below) is 3rd order and not 4th order for the above linear equation. (See attachment for full question)

Simulink - Modelling - Linear Systems

1. A system with input u(t) has the following model ... (see attachment) Find the linearised state space model about the steady state with ... (see attachment) 2. Draw the simulink implementation diagram required to simulate the non-linear system and it's linearized version from (question 1). The input signal will come from th ...continues

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