Nonlinear Control Sy.. - Free

288 CHAPTER 10. FEEDBACK LINEARIZATION
(10.2) Consider the magnetic suspension system of Example 10.11. Verify that this system
is input-state linearizable.
(10.3) Consider again the magnetic suspension system of Example 10.11. To complete the
design, proceed as follows:
(a) Compute the function w and 0 and express the system in the form i = Az + By.
(b) Design a state feedback control law to stabilize the ball at a desired position.
(10.4) Determine whether the system
is input-state linearizable.
(10.5) Consider the following system:
{
J ±1 = X 2 X 3
ll X2 = U
21 = x1 + x2
±2=x3+46
X3=x1+x2+x3
(a) Determine whether the system is input-state linearizable.
(b) If the answer in part (a) is affirmative, find the linearizing law.
(10.6) Consider the following system
{ 21=x1+x3
x2 = xix2
X3 = x1 sin x2 + U
(a) Determine whether the system is input-state linearizable.
(b) If the answer in part (a) is affirmative, find the linearizing law.
(10.7) ([36]) Consider the following system:
{
xl = X3 + 3.2x3
x2 = x1 + (1 + x2)46
23=x2(1+x1)-x3+46
(a) Determine whether the system is input-state linearizable.
(b) If the answer in part (a) is affirmative, find the linearizing law.