On tracking control of a class of complementary-slackness hybrid mechanical systems
type: Item
instance of: scholarly article
title: On tracking control of a class of complementary-slackness hybrid mechanical systems
zbMATH Open document ID: 0951.93054
DOI: 10.1016/S0167-6911(99)00104-8
author: B. Brogliato
author: Silviu-Iulian Niculescu
author: M. D. P. Monteiro Marques
published in: Systems \& Control Letters
publication date: 2000-06-04T00:00:00Z
review text: We consider the problem of feedback control of \(n\)-dof (degree-of-freedom) rigid manipulators subject to a scalar frictionless unilateral constraint \(f(X)\geq 0\) \((X\in \mathbb{R}^{n}\) is the vector of generalized coordinates). The stability analysis relies on a stability concept that incorporates the hybrid and nonsmooth dynamical feature of the overall system. It is shown that stability of the closed-loop system can be obtained. This work generalizes the results in [\textit{B. Brogliato, S.-I. Niculescu} and \textit{P.Orhant}, IEEE Trans. Autom. Control 42, No. 2, 200-215 (1997; Zbl 0872.70019)] which were mainly restricted to the 1-dof case. It also clarifies some concepts related to the hybrid nature of closed-loop complementary-slackness mechanical systems.
Mathematics Subject Classification ID: 93C85
Mathematics Subject Classification ID: 70Q05
Mathematics Subject Classification ID: 93B12
zbMATH DE Number: 1454413
zbMATH Keywords: nonsmooth
zbMATH Keywords: hybrid
zbMATH Keywords: stability
zbMATH Keywords: mechanical systems
zbMATH Keywords: rigid manipulators
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1454413