contributor author | J. B. Moore | |
contributor author | R. Horowitz | |
contributor author | W. Messner | |
date accessioned | 2017-05-08T23:37:57Z | |
date available | 2017-05-08T23:37:57Z | |
date copyright | September, 1992 | |
date issued | 1992 | |
identifier issn | 0022-0434 | |
identifier other | JDSMAA-26185#500_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/109962 | |
description abstract | Adaptive systems involving function learning can be formulated in terms of integral equations of the first kind, possibly with separable, finite-dimensional kernels. The learning process involves estimating the influence functions (Messner et al., 1989). To achieve convergence of the influence function estimates and exponentially stability, it is important to have persistence of excitation in the training tasks. This paper develops the concept of functional persistence of excitation (PE), and the associated concept of functional uniform complete observability (UCO). Relevant PE and UCO properties for linear systems are developed. For example, a key result is that uniform complete observability in this context is maintained under bounded integral operator output injection—a natural generalization of the corresponding finite dimensional result. This paper also demonstrates the application of the theory to linear error equations associated with a repetitive control algorithm. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Functional Persistence of Excitation and Observability for Learning Control Systems | |
type | Journal Paper | |
journal volume | 114 | |
journal issue | 3 | |
journal title | Journal of Dynamic Systems, Measurement, and Control | |
identifier doi | 10.1115/1.2897375 | |
journal fristpage | 500 | |
journal lastpage | 507 | |
identifier eissn | 1528-9028 | |
keywords | Stability | |
keywords | Control systems | |
keywords | Equations | |
keywords | Errors | |
keywords | Functions | |
keywords | Integral equations | |
keywords | Linear systems AND Control algorithms | |
tree | Journal of Dynamic Systems, Measurement, and Control:;1992:;volume( 114 ):;issue: 003 | |
contenttype | Fulltext | |