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Decentralized static output feedback controller design for linear interconnected systems

Fadhilah Helisyah Nur, Adzkiya Dieky, Arif Didik Khusnul, Zhai Guisheng, Mardlijah

International Journal of Applied Mathematics and Computer Science

2023

Vol. 33, no. 1

83--96

Many interconnected systems in the real world, such as power systems and chemical processes, are often composed of subsystems. A decentralized controller is suitable for an interconnected system because of its more practical and accessible implementation. We use the homotopy method to compute a decentralized controller. Since the centralized controller constitutes the starting point for the method, its existence becomes very important. This paper introduces a non-singular matrix and a design parameter to generate a centralized controller. If the initial centralized controller fails, we can change the value of the design parameter to generate a new centralized controller. A sufficient condition for a decentralized controller is given as a bilinear matrix inequality with three matrix variables: a controller gain matrix and a pair of other matrix variables. Finally, we present numerical examples to validate the proposed decentralized controller design method.

Decentralized PI controller with Coefficient Diagram method incorporating feedforward controller based on inverted decoupling for two input – two output system

Wutthithanyawat Chananchai, Wangnipparnto Santi

Przegląd Elektrotechniczny

2020

R. 96, nr 9

159--166

A decentralized PI controller for a TITO system of Wood-Berry distillation column process combined with inverted decoupling is designed by using the coefficient diagram method (CDM) with feedforward controller (FFC). The ability of CDM and CDM with FFC methods to design controllers for the desired transient response has been investigated for TITO system. By using the CDM adding FFC, a good and competitive performance can be achieved with faster settling time that the slight percent overshoot is neglected although an increasing control signal is provided.

Przedstawiono sterowanie procesem destylacji w systemie dwa wejścia-dwa wyjścia przy wykorzystaniu metody Coefficient Diagram ze sterownikiem typu feedforward. Osiągnięto skrócenie czasu ustalania przy małym przeregulowaniu.

Stabilization of positive descriptor fractional discrete-time linear system with two different fractional orders by decentralized controller

Sajewski Ł.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2017

Vol. 65, nr 5

709--714

Positive descriptor fractional discrete-time linear systems with fractional different orders are addressed in the paper. The decomposition of the regular pencil is used to extend necessary and sufficient conditions for positivity of the descriptor fractional discrete-time linear system with different fractional orders. A method for finding the decentralized controller for the class of positive systems is proposed and its effectiveness is demonstrated on a numerical example.