Article: Robust H2/H∞ DPDC dynamic output feedback controller for an uncertain tensor product model of statically unstable missile Journal: International Journal of Advanced Mechatronic Systems (IJAMECHS) 2023 Vol.10 No.1 pp.33 - 40 Abstract: In this paper, the model filtering method is used to optimise the missile model. Based on the tensor product (TP) model transformation method, the uncertain TP model of the statically unstable missile is obtained and its robust variable gain mixed H2/H∞ performance dynamic parallel distributed compensation (DPDC) dynamic output feedback controller is designed. Firstly, the nonlinear model of statically unstable missile is optimised by model filtering method. The filtered missile model conforms to the actual engineering requirements, and meets the performance design requirements of H2. Then, the TP model transformation method is used to convert the nonlinear model of the statically unstable missile obtained after filtering into the TP model. Finally, the gain matrix of the robust variable gain mixed H2/H∞ performance dynamic output feedback controller is obtained by solving linear matrix inequalities (LMIs). The simulation results show that the designed DPDC dynamic output feedback controller. Inderscience Publishers - linking academia, business and industry through research

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Title: Robust H₂/H_∞ DPDC dynamic output feedback controller for an uncertain tensor product model of statically unstable missile

Authors: Peiwen He; Zi-ang Chen; Zhiming Zhou; Zhen Liu; Dianwei Qian

Addresses: School of Control and Computer Engineering, North China Electric Power University, Changping District, Beijing 102206, China ' School of Control and Computer Engineering, North China Electric Power University, Changping District, Beijing 102206, China ' Institute of Automation, Chinese Academy of Sciences, Haidian District, Beijing 100190, China ' Institute of Automation, Chinese Academy of Sciences, Haidian District, Beijing 100190, China ' School of Control and Computer Engineering, North China Electric Power University, Changping District, Beijing 102206, China

Abstract: In this paper, the model filtering method is used to optimise the missile model. Based on the tensor product (TP) model transformation method, the uncertain TP model of the statically unstable missile is obtained and its robust variable gain mixed H₂/H_∞ performance dynamic parallel distributed compensation (DPDC) dynamic output feedback controller is designed. Firstly, the nonlinear model of statically unstable missile is optimised by model filtering method. The filtered missile model conforms to the actual engineering requirements, and meets the performance design requirements of H₂. Then, the TP model transformation method is used to convert the nonlinear model of the statically unstable missile obtained after filtering into the TP model. Finally, the gain matrix of the robust variable gain mixed H₂/H_∞ performance dynamic output feedback controller is obtained by solving linear matrix inequalities (LMIs). The simulation results show that the designed DPDC dynamic output feedback controller.

Keywords: TP model; dynamic output feedback control; mixed H₂/H_∞; HOSVD; DPDC; LMIs.

DOI: 10.1504/IJAMECHS.2023.128164

International Journal of Advanced Mechatronic Systems, 2023 Vol.10 No.1, pp.33 - 40

Received: 04 Apr 2022
Accepted: 23 Jul 2022
Published online: 09 Jan 2023 *

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Title: Robust H2/H∞ DPDC dynamic output feedback controller for an uncertain tensor product model of statically unstable missile

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Title: Robust H₂/H_∞ DPDC dynamic output feedback controller for an uncertain tensor product model of statically unstable missile