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Synthesis of Uniformly Ultimate Boundedness Switching Laws for Discrete-Time Uncertain Switched Linear Systems
 

Summary: Synthesis of Uniformly Ultimate Boundedness Switching Laws for Discrete-Time
Uncertain Switched Linear Systems
Hai Lin
Department of Electrical Engineering
University of Notre Dame
Notre Dame, IN 46556, USA
Panos J. Antsaklis
Department of Electrical Engineering
University of Notre Dame
Notre Dame, IN 46556, USA
Abstract-- In this paper, discrete-time switched linear systems
affected by both parameter variations and exterior disturbances
are considered. The problem of synthesis of switching control
laws, which assure that the system state is ultimately bounded
within a given compact set containing the origin with an
assigned rate of convergence, is investigated. The method is
based on set-induced Lyapunov functions. Based on these Lya-
punov functions, we compose a global Lyapunov function which
guarantees ultimate boundedness for the switched system. The
switching laws are characterized by computing conic partitions

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame
Sontag, Eduardo - Department of Mathematics, Rutgers University

 

Collections: Engineering; Mathematics