Linear State Feedback

Feedback is a fundamental mechanism in nature and central in the control of systems. The state of a system contains important information about the system; hence feeding back the state is a powerful control policy. To illustrate the effect of feedback in linear systems, continuous- and discrete-time state-variable descriptions are used: these allow the resulting closed-loop descriptions to be explicitly written and the effect of feedback on the eigenvalues of the closed-loop system to be studied. The eigenvalue assignment problem is also discussed