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A new calculation method of feedback controller gain for bilinear paper-making process with disturbance
Affiliation:1. Process Control Research Group, Computer and Automation Research Institute HAS, Budapest, Hungary;2. Department of Electrical Engineering and Information Systems, University of Pannonia, 8200 Veszprém, Hungary;3. Faculty of Information Technology and Bionics, Pázmány Péter Catholic University, 1083 Budapest, Hungary;1. Division of Environmental Engineering, Hokkaido University, N13W8, Kita-ku, Sapporo 060-8628, Japan;2. Center for Environmental Nano and Bio Engineering, Hokkaido University, N13W8, Kita-ku, Sapporo 060-8628, Japan;1. COMSATS Institute of Information Technology, Islamabad, Pakistan;2. Mohammad Ali Jinnah University, Islamabad, Pakistan;1. Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA 90089, USA;2. Mork Family Department of Chemical Engineering and Materials Science, University of Southern California, Los Angeles, CA 90089, USA;1. Department of Engineering Cybernetics, Norwegian University of Science and Technology, NO 7491 Trondheim, Norway;2. School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China
Abstract:This paper presents a new method to calculate the feedback control gain for a class of multivariable bilinear system, and also applied this method on the control of two sections of paper-making process with disturbance. The robust H∞ control problem is to design a state feedback controller such that the robust stability and a prescribed H∞ performance of the resulting closed-loop system are ensured. The controller turns out to be robust with respect to the disturbance in the plant. Utilizing the Schur complement and some variable transformations, the stability conditions of the multivariable bilinear systems are formulated in terms of Lyapunov function via the form of linear matrix inequality (LMI). The gain of controller will be calculated via LMI. Finally, the application examples of a headbox section and a dryer section of paper-making process are used to illustrate the applicability of the proposed method.
Keywords:Multivariable bilinear systems  Paper-making process  State feedback control  Lyapunov stability analysis  LMI
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