Robust Stabilization of Linear Switched Systems with Unstable Subsystems
Source abstract
Abstract
This paper deals with the robust stability of a class of uncertain switched systems with possibly unstable linear subsystems. In particular, conditions for global uniform exponential stability are presented. In addition, a procedure to design a mode dependent average dwell time switching signal that stabilizes a switched linear system composed of diagonalizable subsystems is established, even if all of them are stable/unstable and time-varying (within design bounds). An illustrative example of the stabilizing switching law design and numerical results are presented.
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Research context
OpenAlex topics: Stability and Control of Uncertain Systems · Control Systems and Identification · Stability and Controllability of Differential Equations
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Affiliations
Departamento de Ingeniería Electrónica, CONACYT-Instituto Tecnológico de Celaya, Guanajuato 38010, Mexico
Departamento de Ingeniería Electrónica, Instituto Tecnológico de Celaya, Guanajuato 38010, Mexico
Funding
Consejo Nacional de Ciencia y Tecnología
References (25)
Show source-provided references
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