Exponential stabilization of nonholonomic dynamic systems by smooth time-varying control
type: Item
instance of: scholarly article
title: Exponential stabilization of nonholonomic dynamic systems by smooth time-varying control
zbMATH Open document ID: 1003.93039
DOI: 10.1016/S0005-1098(01)00303-X
author: Yu-Ping Tian
author: Shihua Li
published in: Automatica
publication date: 2002-09-05T00:00:00Z
review text: A class of smooth nonlinear control systems with two control inputs is considered. Introducing an assistant phase variable, it is shown that every control system of this class can be transformed into a linear time-varying control system by a time-varying state transformation (based on the concept of minimal dilation degree). Then a smooth time-varying feedback control law is proposed to ensure asymptotic exponential stability of the closed-loop system. Two illustrative examples are also presented.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1797093
zbMATH Keywords: smooth time-varying feedback
zbMATH Keywords: exponential asymptotic stability
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
cites work: Discontinuous control of nonholonomic systems
cites work: Control and stabilization of nonholonomic dynamic systems
cites work: Q3309568
cites work: Stabilization of nonholonomic integrators via logic-based switching
cites work: Iterative design of time-varying stabilizers for multi-input systems in chained form
cites work: Switched mode feedback control laws for nonholonomic systems in extended power form
cites work: Discontinuous control of high-order generalized chained systems
cites work: Exponential stabilization of driftless nonlinear control systems using homogeneous feedback
cites work: Exponential Stabilization of an Underactuated Surface Vessel
cites work: Explicit design of time-varying stabilizing control laws for a class of controllable systems without drift
cites work: Exponential stabilization of an underactuated autonomous surface vessel
cites work: Q3140766
cites work: Exponential stabilization of nonholonomic chained systems
cites work: Stabilization of multiple input chained form control systems
full work available at URL: s0005-1098(01)00303-x
OpenAlex ID: W2013379408
description: scientific article; zbMATH DE number 1797093