Lecture
This lecture covers the design and implementation of state observers and output-feedback controllers in multivariable control systems. The instructor explains the importance of these tools in applications where not all states are directly measurable, and sensors are costly. The lecture delves into the concept of state observers, which estimate the unmeasured states of a system, and output-feedback controllers, which use these estimates in the control loop. The separation principle, full-order and reduced-order observers, and the choice of closed-loop eigenvalues are discussed. The lecture also explores the stability and performance challenges of these control strategies, as well as their applications in fault detection and system diagnosis.