Русская версия
ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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Observer-based Control of Linear Plants with the Guarantee for the Controlled Signal to Stay in a Given Set

Author(s):

Ba. Huy Nguyen

Researcher, Laboratory for Adaptive and Intelligent control of network and distributed systems
Institute for Problems in Mechanical Engineering, RAS (IPME RAS)
PhD Student,ITMO University

leningrat206@gmail.com

Igor Borisovich Furtat

Doctor of Technical Sciences, Full Professor, Chief Researcher, Head of the Laboratory
Adaptive and Intelligent control of network and distributed systems
Institute for Problems in Mechanical Engineering, RAS (IPME RAS)

cainenash@mail.ru

Quang Cuong Nguyen

PhD Student, ITMO University

quangcuonghvhq.cd@gmail.com

Abstract:

The article proposes a method for synthesizing the control of linear plants with a guarantee of finding the controlled variable in a given set under the condition that only the system output is measurable. In the work, the output control is not used because of its complexity of synthesis, but the observer-based control using the classical Luenberger observer is used. The control algorithm is based on a special change of coordinates in order to transfer the original problem with a constraint on the output to the problem of control by an auxiliary variable without constraints. The adjustable parameter of the controller is selected from the solution of linear matrix inequalities, which expands the applicability of the obtained method in practice. Numerical simulation in MATLAB/Simulink illustrated the effectiveness of the proposed method and show the presence of controlled signals in the given set and the boundness of all signals in the control system.

Keywords

References:

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