Consider the system modeled by...

Consider the system modeled by: x' = Ax + Bu , y = Cx + Du -5 1 -1 A = , B = , C=[1 0] , D=0 1 -5 1 a) Determine the transition matrix eAt using the eigenvalues and eigenvectors ...continues

Prob.#10

A model describing the competition between 2 species is given by: x1'=r x1(1− x1/k) −α x1x2 x'2= s x2(1− x2/k) − β x1x2 Where r,s, α, and β are positive constants. Suppose that s < β k and r < α L : 1.Determine the equilibrium points of the above nonlinear system ...continues

Prob.#11

A nonlinear system is described in state form by the model x1' = − x12 + x2 + 3u x2' = − 2x1x2 y = x1 Obtain a linearized model around the equilibrium point uo=2, yo=0

Prob.#6

Consider the system modeled by: x' = Ax + Bu , y = Cx + Du where dim x=2 and dim u = dim y = 1 a) Given u=0 and the initial-state responses 1 x(0) =  y(t) = e ...continues

Pi controller design

(See attached file for full problem description) --- Inverse Nichols Chart

Root locus-nyquist -bode

(See attached file for full problem description) --- Nyquist diagram question

Control system specs

(See attached file for full problem description) --- State why one would need feedback in the following situations. In each case, explain why the relevant closed loop transfer function (give input and output signals) would typically by high-, low- or band-passing.... ---

Design a lead compensator such that phase margin is 45 degrees

Using the attached doc, this is a close-loop system, design a lead compensator Gc(s) such that the phase margin is 45 degree, gain margin is not less than 8 db, and the static velocity error constant Kv is 4.0 sec^-1. Plot unit step and unit ramp response curves of the compensated system with MATLAB

Design a compensator such that the static velocity error constant is 4 sec^-1,

Given the attach document, design a compensator such that the static velocity error constant is 4 sec^-1, phase margin is 50 degree and gain margin is 10 db or more. Plot unit-step and unit ramp reponse curves of the compensated systems with Matlab. Also draw a Nquist plot of the compensated system with Matlab.

Design a lag-lead compensator such that the static velocity error constant Kv is 20 sec^-1

Consider the attached control system, design a lag-lead compensator such that the static velocity error constand Kv is 20 sec^-1, phase margin is 60 degrees, and gain margin is not less than 8 db. plot the unit step and unit ramp response curves of the compensated system with Matlab.