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Robust Control for Two-Time-Scale Discrete Interval Systems

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Reliable Computing

Abstract

The problem of designing robust controller for discrete two-time-scale interval systems, conveniently represented using interval matrix notion, is considered. The original full order two-time-scale interval system is decomposed into slow and fast subsystems using interval arithmetic. The controllers designed independently to stabilize these two subsystems are combined to get a composite controller which also stabilizes the original full order two-time-scale interval system. It is shown that a state and output feedback control law designed to stabilize the slow interval subsystem stabilizes the original full order system provided the fast interval subsystem is asymptotically stable. The proposed design procedure is illustrated using numerical examples for establishing the efficacy of the proposed method.

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Authors and Affiliations

  1. SGGS Institute of Engineering and Technology, Vishnupuri, Nanded, 431606, India

    Balasaheb M. Patre

  2. Systems and Control Engineering, Indian Institute of Technology, Bombay, Mumbai, 400 076, India

    Bijnan Bandyopadhyay

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  1. Balasaheb M. Patre
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  2. Bijnan Bandyopadhyay
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Correspondence to Balasaheb M. Patre.

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Patre, B.M., Bandyopadhyay, B. Robust Control for Two-Time-Scale Discrete Interval Systems. Reliable Comput 12, 45–58 (2006). https://doi.org/10.1007/s11155-006-2971-x

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  • DOI: https://doi.org/10.1007/s11155-006-2971-x

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