Fastest recovery from feedback loss: Bounded overshoot

ABSTRACT

The problem of designing robust optimal controllers to reduce in minimal time operating errors that had accumulated during a period of feedback loss is revisited, with the objective of imposing a constraint on the maximal overshoot of the controlled system. It is shown that robust optimal controllers that satisfy this constraint exist under rather broad conditions. It is also shown that optimal performance can be closely approximated by bang–bang controllers – controllers that are relatively easy to design and implement.

KEYWORDS:

• Optimal control
• minimal time
• bounded overshoot
• feedback disruption

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The work of Ho-Lim Choi was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) [grant number NRF-2016R1A2B4008465].