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Bibliographic Details
Main Authors: Delgado, Jhon Manuel Portella, Rice, Aidan, Schaaf, Jacob C. Vander, Bernstein, Dennis S.
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.04419
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author Delgado, Jhon Manuel Portella
Rice, Aidan
Schaaf, Jacob C. Vander
Bernstein, Dennis S.
author_facet Delgado, Jhon Manuel Portella
Rice, Aidan
Schaaf, Jacob C. Vander
Bernstein, Dennis S.
contents We develop an adaptive feedback control technique that combines an extremum-seeking-based command generator (ECG) with indirect adaptive control. In particular, ECG is used to generate commands that asymptotically optimize a cost function that is measured but whose functional form is unknown. For feedback control with command following and stabilization, the present paper combines ECG with predictive cost adaptive control (PCAC), which is an indirect adaptive control extension of model predictive control (MPC). PCAC extends generalized predictive control (GPC) by using quadratic programming to enforce output constraints and recursive least squares (RLS) with variable-rate forgetting (VRF) for system identification. The resulting ECG/PCAC framework combines command generation with closed-loop system identification and online optimization. The contribution of this paper is a numerical investigation of ECG/PCAC for adaptive stabilization, command following, and disturbance rejection
format Preprint
id arxiv_https___arxiv_org_abs_2605_04419
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Numerical Investigation of Extremum-Seeking-Based Command Generation for Adaptively Controlled Systems
Delgado, Jhon Manuel Portella
Rice, Aidan
Schaaf, Jacob C. Vander
Bernstein, Dennis S.
Optimization and Control
We develop an adaptive feedback control technique that combines an extremum-seeking-based command generator (ECG) with indirect adaptive control. In particular, ECG is used to generate commands that asymptotically optimize a cost function that is measured but whose functional form is unknown. For feedback control with command following and stabilization, the present paper combines ECG with predictive cost adaptive control (PCAC), which is an indirect adaptive control extension of model predictive control (MPC). PCAC extends generalized predictive control (GPC) by using quadratic programming to enforce output constraints and recursive least squares (RLS) with variable-rate forgetting (VRF) for system identification. The resulting ECG/PCAC framework combines command generation with closed-loop system identification and online optimization. The contribution of this paper is a numerical investigation of ECG/PCAC for adaptive stabilization, command following, and disturbance rejection
title A Numerical Investigation of Extremum-Seeking-Based Command Generation for Adaptively Controlled Systems
topic Optimization and Control
url https://arxiv.org/abs/2605.04419