Title: The smooth switching gain-scheduled control with H^∞ performance to the application of TORA systems

Authors: Pang-Chia Chen; Koan-Yuh Chang; Wen-Jer Chang; Jung-Chun Liu

Addresses: Department of Electro-Optical Science and Engineering and Department of Mechanical and Automation Engineering, Kao-Yuan University, #1821, Jhong-Shan Rd., Lu-Jhu Dist., Kao-Hsiung City 821, Taiwan ' Department of Beauty Science and Department of Electronic Engineering, ChienKuo Technology University, #1, Chien-Shou North Rd., Changhua City 500, Taiwan ' Department of Marine Engineering, National Taiwan Ocean University, #2, Pei-Ning Rd., Keelung 202, Taiwan ' Department of Computer Science, Tunghai University, #1727, Sec. 4, Taiwan Boulevard, Xitun Dist., Taichung City 407, Taiwan

Abstract: The function of switching logics is crucial to the operation of switching control systems. This paper investigates the smooth switching control approach for linear parameter varying systems, in which the control law for neighbouring subsystems is smoothly switched or scheduled in the overlapped region instead of employing the usual instant switching methods. The proposed approach is designed in terms of the achieved H^∞ performance level under control input and system output variable constraints. The control law is constructed based on the parameterised linear matrix inequality conditions. The effectiveness of the proposed approach is demonstrated by disturbance attenuation of the non-linear translational oscillator with rotational actuator systems in a quasi-linear parameter varying system representation.

Keywords: smooth switching control; linear parameter varying systems; LPV systems; H-infinity control; linear matrix inequality; LMI; TORA systems; disturbance attenuation; nonlinear translational oscillator; rotational actuator systems.

DOI: 10.1504/IJMIC.2014.065344

International Journal of Modelling, Identification and Control, 2014 Vol.22 No.3, pp.261 - 274

Published online: 30 Oct 2014 *

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