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.
Antsaklis, P.j., Astolfi, A. (2021). Linear State Feedback. In T.S. John Baillieul (a cura di), Encyclopedia of Systems and Control (pp. 1130-1134). Springer [10.1007/978-3-030-44184-5_196].
Linear State Feedback
Astolfi, Alessandro
2021-08-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
