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Research Papers

Exponential Passivity Results for Singular Networked Cascade Control Systems Via Sampled-Data Control

[+] Author and Article Information
Srimanta Santra, K. Mathiyalagan, S. Marshal Anthoni

Department of Mathematics,
Anna University—Regional Campus,
Coimbatore 641 046, India

R. Sakthivel

Department of Mathematics,
Sungkyunkwan University,
Suwon 440 746, South Korea
e-mail: krsakthivel@yahoo.com

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 24, 2015; final manuscript received September 1, 2016; published online November 14, 2016. Assoc. Editor: Ryozo Nagamune.

J. Dyn. Sys., Meas., Control 139(3), 031001 (Nov 14, 2016) (13 pages) Paper No: DS-15-1340; doi: 10.1115/1.4034781 History: Received July 24, 2015; Revised September 01, 2016

This paper addresses the issues of admissibility analysis and exponential passivity using sampled-data control for a class of singular networked cascade control systems (NCCSs) with time-varying delays and external disturbances. Based on the new augmented Lyapunov–Krasovskii functional which considers all the available information about the actual sampling pattern, a new set of delay-dependent condition is obtained to ensure the singular networked cascade control systems to be regular, impulse-free, stable, and exponentially passive. Based on the derived condition, the sampled-data control problem is solved and an explicit expression for the desired cascade controller is given. If the given linear matrix inequalities are feasible, then corresponding gain parameters of the designed cascade control will be determined. Finally, a numerical example based on a power plant boiler–turbine system is provided to demonstrate the effectiveness of the developed technique.

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Figures

Grahic Jump Location
Fig. 1

Configuration diagram of singular networked cascade control systems

Grahic Jump Location
Fig. 2

State responses for primary and secondary plants

Grahic Jump Location
Fig. 3

Controller responses for primary and secondary plants

Grahic Jump Location
Fig. 4

State responses for output signal

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