Design of decentralized, practically stabilizing controllers for a class of interconnected retarded systems

P. Pepe, H. Ito, Z. P. Jiang

Research output: Contribution to journalConference article

Abstract

In this paper, we provide a constructive methodology for the design of decentralized control laws for a class of interconnected retarded systems subject to actuator disturbances. We consider Control Lyapunov-Krasovskii functionals for only subsystems, thus reducing the difficulty with respect to finding an overall functional, and then provide a controller which, by means of a small-gain condition, guarantees practical input-to-state stability with respect to disturbances. If the disturbances are bounded, the controller allows to drive the system variables to any small neighborhood of the origin, by suitably tuning a control parameter.

Original languageEnglish (US)
Article number7039546
Pages (from-to)1209-1214
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume2015-February
Issue numberFebruary
DOIs
StatePublished - 2014
Event2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States
Duration: Dec 15 2014Dec 17 2014

Keywords

  • Control Lyapunov-Krasovskii Functionals
  • Input-to-State Stability
  • Nonlinear Systems
  • Retarded Functional Differential Equations
  • Small-Gain Theorem

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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