Robust Hybrid Controller Design for Batch Processes with Time Delay and Its Application in Industrial Processes

  • Weiyan Yu
  • Jiang Song
  • Jingxian YuEmail author


A new design method of two-dimensional (2D) controller for multi-phase batch processes with time delay and disturbances is proposed to ensure the stability of the control system and realize efficient production in industry. The batch process is first converted to an equivalent but different dimensional 2D-FM switched system. Based on the 2D system framework, then sufficient conditions of a controller existence expressed by linear matrix inequalities (LMIs) that stabilizing system is given by means of the average dwell time method. Meanwhile, robust hybrid 2D controller design containing extended information is proposed and the minimum runtime lower bound of each sub-system is accurately calculated. The design advantages of the controller depend on the size of the time delay so it has a certain degree of robustness. At the same time, considering the exponential stability, the system can have a faster rate of convergence. In addition, the introduction of extended information has improved the control performance of the system to some extent. The acquisition of minimum time at different phases will promote certain production efficiency and thus reduce energy consumption. Finally, an injection process in industrial production process has been taken as an example to verify effectiveness of the proposed method.


Average dwell time method delay-range-dependent iterative learning control multi-phase batch process 2D-FM different-dimensional switched systems 


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© ICROS, KIEE and Springer 2019

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsHainan Normal UniversityHaikouChina
  2. 2.School of SciencesLiaoning Shihua UniversityFushunChina

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