Optimal robust control of nonlinear time-delay systems: Maintaining low operating errors during feedback outages

ABSTRACT

The problem of maintaining low operating errors during feedback outages is considered for a class of nonlinear systems with time-delays in the input channel. It is shown that there are optimal controllers that keep operating errors below a specified bound for the longest time possible. Furthermore, it is shown that optimal performance can be approximated as closely as desired by using bang-bang controllers – controllers that are relatively easy to calculate and implement.

KEYWORDS:

• Optimal control
• nonlinear control
• time delay
• feedback outage

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].