๐”– Bobbio Scriptorium
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Control of a nonlinear system with time-delayed dynamics

โœ Scribed by Jose Alvarez-Ramirez; Hector Puebla

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
162 KB
Volume
262
Category
Article
ISSN
0375-9601

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โœฆ Synopsis

The aim of this Letter is to design a robust control law to regulate the heating of living tissue. A nonlinear, time-delay differential equation is used to represent the dynamics at a point inside a living tissue, where time-delay is induced by perfusion effects on the cooling coefficients. Given a desired temperature elevation, a robust control with modeling error compensation is designed which is shown to be equivalent to a PI control law. The effectiveness of the control law to suppress temperature oscillations is illustrated via numerical simulations.

๐Ÿ“œ SIMILAR VOLUMES

Dynamics of Nonlinear Parabolic Systems
Dynamics of Nonlinear Parabolic Systems with Time Delays
โœ C.V. Pao ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 322 KB

The dynamics of a coupled system of semilinear parabolic equations with discrete time delays is investigated using the method of upper and lower solutions. It is shown that if the reaction function in the system possesses a mixed quasimonotone property and the corresponding elliptic system has a pai