System Modelling

Develop a dynamic model for the system described in the attachment, choosing the height of the water in the vessel as the output variable. The vessel has a uniform cross-sectional area, A. Assume that the water density, p, does not change with temperature.

Closed Loop Transfer Function; Characteristic Equation; Damping Ratio; Maximum Overshoot; Peak Time; Rise Time; Settling Time

Could you please supply me with DETAILED answers and solutions to the two questions in the attachments below. The diagrams in each question need to be displayed in the Simulink format used within Matlab. Also, could you bare in mind that when using notations in the diagrams and calculations, would you please state the explanation of these in each case. I do hope you can help with this request and look forward to your response. Many Thanks Questions include: closed loop transfer function, poles/roots; characteristic equation; damping ratio; maximum overshoot; peak time; rise time; settlin... click for more

Linear systems

bi) Use the Laplace transform to find the output of the system... bii) Sketch your solution. Please see attached for full questions.

Linear Systems

b) Find the natural Response of the system... with inputu(t)=0 and initial condition... Sketch your solution. Please see attachments for full question.

Question 4. Partial Fractions with Simulink Diagrams

For the following open loop transfer function determine the time domain y(t) solutions using partial fraction methods verify your answers using simulink. Please see attached for functions.