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- Title
Optimal Error Quantification and Robust Tracking under Unknown Upper Bounds on Uncertainties and Biased External Disturbance.
- Authors
Sokolov, Victor F.
- Abstract
This paper addresses a problem of optimal error quantification in the framework of robust control theory in the 1 setup. The upper bounds of biased external disturbance and the gains of coprime factor perturbations in a discrete-time linear time invariant SISO plant are assumed to be unknown. The computation of optimal data-consistent upper bounds under a known bias of external disturbance has been simplified to linear programming. This allows for the computation of optimal estimates in real-time and their application to achieve optimal robust steady-state tracking even when facing an unknown bias in the external disturbance. The presented results have been illustrated through computer simulations.
- Subjects
LINEAR programming; ROBUST control; CONTROL theory (Engineering); COMPUTER simulation; ADAPTIVE control systems; LINEAR time invariant systems; TRACKING algorithms
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 2, p197
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12020197