NDLI: Conditions for the genericity of feedback stabilisability of discrete-time switching systems based on Lie-algebraic solvability

Content Provider	IEEE Xplore Digital Library
Author	Haimovich, H. Braslavsky, J.H.
Copyright Year	2011
Description	Author affiliation: CONICET and Laboratorio de Sistemas Dinámicos y Procesamiento de Información, Departamento de Control, Facultad de Cs. Exactas, Ingeniería y Agrimensura, Universidad Nacional de Rosario, Riobamba 245bis, 2000, Argentina (Haimovich, H.) \|\| Commonwealth Scientific and Industrial Research Organisation (CSIRO), Division of Energy Technology, PO Box 330, Newcastle NSW 2300, Australia (Braslavsky, J.H.)
Abstract	This paper addresses the stabilisation of switching discrete-time linear systems with control inputs under arbitrary switching, based on the existence of a common quadratic Lyapunov function (CQLF). While stabilising feedback gains may be directly designed by solving linear matrix inequalities (LMIs), LMI-based designs in general do not provide information about closed-loop system structure. The authors have begun a line of work dealing with control design based on the Lie-algebraic solvability property. In contrast to LMI-based design, although at the expense of generality, control design based on such Lie-algebraic property seeks to assign closed-loop structure approximating that required to satisfy Lie algebraic conditions that guarantee existence of a CQLF. The present paper expands on earlier work by deriving conditions under which the closed-loop system can be caused to satisfy the Lie-algebraic solvability property generically, i.e. for almost every set of system parameters, furthermore admitting straightforward and efficient numerical implementation.
Starting Page	398
Ending Page	403
File Size	278651
Page Count	6
File Format	PDF
ISBN	9781424492459
e-ISBN	9780858258846
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-11-10
Publisher Place	Australia
Access Restriction	Subscribed
Rights Holder	ENGINEERS AUSTRALIA & AUSTRALIAN OPTICAL
Subject Keyword	Algorithm design and analysis Control design Switching systems Lie algebras Switches Bismuth Common eigenvector assignment Vectors Eigenvalues and eigenfunctions Exponential stability
Content Type	Text
Resource Type	Article

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