2012•Society of Instrument and Control Engineers of JapanRequires access

Decentralized PID control for systems with relative degree no more than 2

Sadaaki Kunimatsu, Mitsuaki Ishitobi, Takao Fujii

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Abstract

In this paper, we propose a PID control design method for decentralized control systems by using the structure of controllers obtained by the ILQ(Inverse Linear Quadratic) design method. First, we show an optimal decentralized PID design method for systems with relative degree no more than 2 and block diagonal decoupling matrix. Then, we derive a necessary and sufficient condition for the stability of the closed loop system using our proposed design method of decentralized PID control in the case where the decoupling matrix is not block diagonal. Moreover, we show that a desired transient response with decoupled input/output characteristics can be achieved by our decentralized PID controller.

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What this paper is about

In this paper, we propose a PID control design method for decentralized control systems by using the structure of controllers obtained by the ILQ(Inverse Linear Quadratic) design method. First, we show an optimal decentralized PID design method for systems with relative degree no more than 2 and block diagonal decoupling matrix. Then, we derive a necessary and sufficient condition for the stability of the closed loop system using our proposed design method of decentralized PID control in the case where the decoupling matrix is not block diagonal. Moreover, we show that a desired transient response with decoupled input/output characteristics can be achieved by our decentralized PID controller.

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Available abstract

In this paper, we propose a PID control design method for decentralized control systems by using the structure of controllers obtained by the ILQ(Inverse Linear Quadratic) design method. First, we show an optimal decentralized PID design method for systems with relative degree no more than 2 and block diagonal decoupling matrix. Then, we derive a necessary and sufficient condition for the stability of the closed loop system using our proposed design method of decentralized PID control in the case where the decoupling matrix is not block diagonal. Moreover, we show that a desired transient response with decoupled input/output characteristics can be achieved by our decentralized PID controller.

Key concepts: Control theory (sociology), PID controller, Decoupling (probability), Decentralised system, Diagonal, Block matrix, Control system, Diagonal matrix

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