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
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
(See attached file for full problem description) --- Inverse Nichols Chart
(See attached file for full problem description) --- Nyquist diagram question
(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.
The dynamic behavior of linear systems can be interpreted using the eigenvectors of the A matrix. We assume that A has distinct eigenvalues. a) Show that if υ is an eigenvector of A for the eigenvalue λ then eAtυ = eλtυ b) Let υk (k=1,2,…,n) be the eigenvectors of A, with corresponding ei ...continues
A nonlinear system has an input-output model given by: 1. y'(t) + [1 + 0.2y(t)] y(t) = u(t) + 0.2u(t)3 i) Compute the operating point(s) for uo=2 ii) Obtain a linearized model for each of the operating points above. 2. à¿(t) + y(t) à½(t) + y(t)3 − y(t) = 2àº(t) + u(t)2 iii) Compute the operating point(s) ...continues
