Learning-based iterative modular adaptive control for nonlinear systems

Mouhacine Benosman

doi:10.1002/acs.2892

2018-06-19

PRE

Mouhacine Benosman *

Amir‐massoud Farahmand

Meng Xia

DOI：10.1002/acs.2892

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摘要

En 中文

In this paper, we study the problem of adaptive trajectory tracking control for a class of nonlinear systems with structured parametric uncertainties. We propose to use an iterative modular approach: we first design a robust nonlinear state feedback that renders the closed-loop input-to-state stable (ISS). Here, the input is considered to be the estimation error of the uncertain parameters, and the state is considered to be the closed-loop output tracking error. Next, we propose an iterative adaptive algorithm, where we augment this robust ISS controller with an iterative data-driven learning algorithm to estimate online the parametric uncertainties of the model. We implement this method with two different learning approaches. The first one is a data-driven multiparametric extremum seeking method, which guarantees local convergence results, and the second is a Bayesian optimization-based method called Gaussian Process Upper Confidence Bound, which guarantees global results in a compact search set. The combination of the ISS feedback and the data-driven learning algorithms gives a learning-based modular indirect adaptive controller. We show the efficiency of this approach on a two-link robot manipulator numerical example.

Keyword:

data-driven

extremum seekers

Gaussian processes

modular

nonlinear