Journal of Shanghai Jiao Tong University (Science) ›› 2018, Vol. 23 ›› Issue (6): 811-819.doi: 10.1007/s12204-018-2002-1
Guaranteed Cost Iterative Learning Control for Multi-Phase Batch Processes
WANG Limin (王立敏), WANG Runze (王润泽), XIONG Yuting (熊玉婷), WANG Haosen (王浩森), ZHU Lin (朱琳), ZHANG Ke (张可), GAO Furong (高福荣)
- (1. School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China; 2. College of Sciences, Liaoning Shihua University, Fushun 113001, Liaoning, China; 3. School of Automation, Chongqing University, Chongqing 400044, China; 4. Department of Chemical and Biological Engineering, Hong Kong University of Science and Technology, Hong Kong, China)
Guaranteed Cost Iterative Learning Control for Multi-Phase Batch Processes
WANG Limin (王立敏), WANG Runze (王润泽), XIONG Yuting (熊玉婷), WANG Haosen (王浩森), ZHU Lin (朱琳), ZHANG Ke (张可), GAO Furong (高福荣)
- (1. School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China; 2. College of Sciences, Liaoning Shihua University, Fushun 113001, Liaoning, China; 3. School of Automation, Chongqing University, Chongqing 400044, China; 4. Department of Chemical and Biological Engineering, Hong Kong University of Science and Technology, Hong Kong, China)
摘要： Batch process is a typical multi-phase process. Due to the interaction between the phases of the batch process, high precision control in a single phase cannot guarantee high precision control of the whole batch process. In order to solve this problem, the guaranteed cost iterative learning control (ILC) of multi-phase batch processes is studied in this paper. Firstly, through introducing the output error, the state error and the extended information, the multi-phase batch process is transformed into an equivalent 2D switched system which has different dimensions. In addition, under the measurable condition, the guaranteed cost iterative learning control law with extended information is designed. The proposed control law ensures not only the stability of the system but also the optimal control performance. Next, in order to study the stability of the system and the minimum running time under the condition of stable running, the multi-Lyapunov function method is used. By means of the average dwell time method, the sufficient conditions ensuring system to be exponentially stable are given in the form of linear matrix inequality (LMI). Finally, the injection molding process is taken as an example to make simulation, which shows the feasibility and effectiveness of the proposed method.
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