Discrete-time triggered reset law design based on model predictive strategy for linear systems

Guanglei Zhao; Jingcheng Wang

Discrete-time triggered reset law design based on model predictive strategy for linear systems

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Author(s): Guanglei Zhao ¹ and Jingcheng Wang ²
- Affiliations: 1: Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, People's Republic of China ;
  2: Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
Source: Volume 10, Issue 3, 05 February 2016, p. 282 – 291
DOI: 10.1049/iet-cta.2015.0587 , Print ISSN 1751-8644, Online ISSN 1751-8652

Received 22/12/2014, Accepted 13/10/2015, Revised 03/09/2015, Published 05/02/2016

This study investigates discrete-time triggered reset law design for linear systems in order to adapt reset control to computer-based implementation. The reset actions are triggered at discrete sampling times if predefined reset conditions are satisfied, and reset law is used to determine reset values of the controller states. A discrete-time switched system model of the reset control systems is established, then, a model predictive strategy is proposed to design the reset law by solving a linear matrix inequality optimisation problem. Moreover, the proposed method is extended to observer-based reset law design. The obtained results are applied to numerical example and typical continuous stirred tank reactor system, simulations show that the proposed design is effective.

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Discrete-time triggered reset law design based on model predictive strategy for linear systems

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