Research Papers

Decentralized MRAC for Large-Scale Interconnected Systems With State and Input Delays by Integrators Inclusion

[+] Author and Article Information
Seyed Hamid Hashemipour

Department of Electrical Engineering,
Young Researcher Club,
Roudsar and Amlash Branch,
Islamic Azad University,
Roudsar 4481714188, Iran
e-mail: h.hashemipour@srbiau.ac.ir

Nastaran Vasegh

Department of Electrical Engineering,
Shahid Rajaee Teacher Training University,
Tehran 1678815811, Iran
e-mail: n.vasegh@srttu.edu

Ali Khaki Sedigh

Department of Electrical Engineering,
K. N. Toosi University of Technology,
Tehran 1969764499, Iran
e-mail: sedigh@kntu.ac.ir

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received May 24, 2016; final manuscript received February 23, 2017; published online June 5, 2017. Assoc. Editor: Sergey Nersesov.

J. Dyn. Sys., Meas., Control 139(9), 091009 (Jun 05, 2017) (8 pages) Paper No: DS-16-1269; doi: 10.1115/1.4036233 History: Received May 24, 2016; Revised February 23, 2017

This paper investigates the problem of decentralized model reference adaptive control (MRAC) for a class of large-scale systems with time-varying delays in the interconnected terms and state and input delays. The upper bounds of interconnection terms with time-varying delays and external disturbances are assumed to be completely unknown. By integrators inclusion, a dynamic input delay compensator is established for input delay compensation and it is used as a practical method for state calculation x(t + R). Also, a method is presented for a class of decentralized feedback controllers, which can evolve the closed-loop system error uniformly bounded stable. As a numerical example, the proposed technique is applied to an unstable open-loop system to show the feasibility and effectiveness of the method.

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Grahic Jump Location
Fig. 1

The time response of the state variable x11 and reference model xm11

Grahic Jump Location
Fig. 2

The time response of the state variable x12 and reference model xm12

Grahic Jump Location
Fig. 3

The time response of the state variable x21 and reference model xm21

Grahic Jump Location
Fig. 4

The time response of the state variable x22 and reference model xm22

Grahic Jump Location
Fig. 5

Time history of signal control u1 and u2

Grahic Jump Location
Fig. 6

Time history of error e1 and e2



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