1. A generalized framework for perturbation-based derivative estimation in multivariable extremum-seeking
- Author
-
Frank Willems, R. van der Weijst, and T.A.C. van Keulen
- Subjects
0209 industrial biotechnology ,Adaptive control ,data-based control ,Derivative estimation ,Perturbation (astronomy) ,02 engineering and technology ,adaptive control ,020901 industrial engineering & automation ,Control theory ,Nonlinear systems ,Autotuning ,0202 electrical engineering, electronic engineering, information engineering ,Dither ,Mathematics ,Data-based control ,TS - Technical Sciences ,Industrial Innovation ,Multivariable calculus ,Physics ,autotuning ,multivariable systems ,Multivariable systems ,020208 electrical & electronic engineering ,Estimator ,Extremum-seeking ,Generalized derivative ,Nonlinear system ,Fluid & Solid Mechanics ,Control and Systems Engineering ,PT - Power Trains ,nonlinear systems - Abstract
In the context of model-free optimization of dynamic nonlinear multiple-input-single-output (MISO) systems using extremum-seeking (ES), accurate and fast derivative estimation of the systems steady-state performance map is essential. This paper presents a generalized derivative estimator (DE) framework for unknown MISO static maps. To this extent, the map input is perturbed with sinusoidal dither signals with different frequencies. Using the proposed framework, the derivatives can be estimated up to an arbitrary order, for maps with an arbitrary number of inputs. Conditions on the dither frequencies are provided, which optimize the DE time-scale, such that derivative estimation is as fast as possible. Simulation examples are provided to demonstrate the effectiveness of the proposed framework.
- Published
- 2017