When designing a Luenberger observer, what is the primary objective of placing the observer's poles to be faster than the system's poles?
Question 2
Consider a system with state-space representation: $ \dot{x} = Ax + Bu $ $ y = Cx $ A full-order Luenberger observer for this system is given by: $ \dot{\hat{x}} = A\hat{x} + Bu + L(y - C\hat{x}) $ What does the term $ (y - C\hat{x}) $ represent in this observer equation?
Question 3
Which of the following is a primary advantage of using a reduced-order observer over a full-order observer, particularly in systems with many measurable states?
Question 4
When designing a Luenberger observer, what is the significance of the observer gain matrix $L$ in determining the observer's performance?
Question 5
Which of the following describes the primary challenge that observers address in control systems?