Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Robust Control Design for a Networked Cascade Control System based on Augmented matrix and in presence of Network Delay

Authors
nasim ensansefat masouleh 1
Ali Chaibakhsh 2
Ali Jamali 3
Reza Shahnazi 4
1 PhD student, faculty of mechanical engineering, university of Guilan, Rasht
2 Associate Professor, Faculty of mechanical engineering, University of Guilan, Rasht.
3 Associate Professor, Faculty of mechanical enginering, University of Guilan, Rasht
4 Associate Professor, Department of electrical engineering, University of Guilan, Rasht
10.30506/ijmep.2021.120319.1673
Abstract
In this paper, stability of a group of networked cascade control systems based on a new continuous-time model is investigated and H∞ state feedback controllers considering H∞ norm bounded constraint are designed in order to attenuate external disturbances. The main objective of this research is to simplify stability analysis and provide the possibility of considering different configurations based on a continuous-time state-space model for these systems.
To this aim, here it is assumed that data transformation between the secondary controller and the actuator is performed through a communication network. Using communication networks would result in some imperfections such as communication delay and data packet loss which are considered in the modelling of the system. Then, the state-space equations of the systems are converted to an equivalent augmented state-space equation. Stability of the system is analyzed based on the Lyapunov-Krasovskii theorem and using free weighting matrix method and controller gains as well as maximum allowable delay bound are computed. Simulation results confirm the validity of the proposed method.
Keywords
Networked Cascade Control System
Augmented Matrix
Robust Control

Subjects

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  • Receive Date 20 January 2020
  • Revise Date 18 July 2020
  • Accept Date 11 July 2021