Control of MIMO linear plants with a guarantee for the controlled signals to stay in a given set
https://doi.org/10.17586/2226-1494-2022-22-2-232-238
Abstract
In this paper, we propose a new method for synthesizing the control of multi-input multi output linear plants with a guarantee of finding controlled signals in given sets under conditions of unknown bounded disturbances. The problem is solved in two stages. At the first stage, the coordinate transformation method is used to reduce the original constrained problem to the problem of studying the input-to-state stability of a new extended system without constraints. At the second stage, the control law for the extended system is obtained by solving a series of linear matrix inequalities. To illustrate the effectiveness of the proposed method, simulation in the MATLAB/Simulink is given. The simulation results show the presence of controlled signals in the given sets and the boundness of all signals in the control system. The proposed method is recommended for use in control problems where it is required to maintain controlled signals in given sets, for example, control of an electric power network, control of the reservoir pressure maintenance process, etc.
Keywords
multi-input multi-output linear plants,
coordinate transformation,
stability,
linear matrix inequalities
Supporting agencies: The proposed method and the main result were obtained under the Russian Science Foundation Grant No. 18-79-10104 at IPME RAS. Numerical simulations were performed at RFBR grant No. 20-08-00610.
About the Authors
B. H. Nguyen
Institute of Problems of Mechanical Engineering of the Russian Academy of Sciences; ITMO University
Russian Federation
Russian Federation
Ba Huy Nguyen — Researcher; PhD student
Saint Petersburg, 199178
Saint Petersburg, 197101
I. B. Furtat
Institute of Problems of Mechanical Engineering of the Russian Academy of Sciences; ITMO University
Russian Federation
Russian Federation
Igor B. Furtat — D.Sc., Full Professor, Chief Researcher, Head of lab.; Professor
sc 36349158600
Saint Petersburg, 199178
Saint Petersburg, 197101
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Review
For citations:
Nguyen B., Furtat I.B. Control of MIMO linear plants with a guarantee for the controlled signals to stay in a given set. Scientific and Technical Journal of Information Technologies, Mechanics and Optics. 2022;22(2):232-238. (In Russ.) https://doi.org/10.17586/2226-1494-2022-22-2-232-238
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