A Novel Internal Model Control Method for Non-Square System

Quan, Ling; Zhang, Hai Long; Yang, Yang

doi:10.4028/www.scientific.net/amm.238.66

Cited by 3 publications

(4 citation statements)

References 7 publications

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“…where: G(0) the static gain matrix and Ω the bandwidth matrix are expressed as follows (Quan et al, 2012; Xiong and Jian, 2006)…”

Section: Imc Designmentioning

confidence: 99%

“…If RS(i) is near to zero, the i th input loop admits a little impact on the output loop. Consequently, this loop can be neglected and removed from the system (Quan et al, 2012; Schaper et al, 1999; Xiong et al, 2005).…”

Section: Imc Designmentioning

confidence: 99%

“…Processes with equal number of inputs and outputs are called square systems. Non-square systems are then referred to unequal number of inputs and outputs processes (Ben Omrane et al, 2012; Jin et al, 2014; Qibing et al, 2009; Quan et al, 2012). The control of such systems is challenging due to the existence of interactions among input and output variables.…”

Section: Introductionmentioning

confidence: 99%

“…The non-square effective gain (NERGA) method is as well proposed in Quan et al (2012) to inverse the transfer matrix of the model. This method is considered as a criterion to choose a square subsystem from a non-square system by adding or removing appropriate inputs or outputs.…”

Section: Introductionmentioning

confidence: 99%

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A comparative study on existing and new methods to design internal model controllers for non-square systems

Saidi

Touati

Dhahri

et al. 2019

Transactions of the Institute of Measurement and Control

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This paper focuses on a challenging problem in the internal model control (IMC) strategy: the model inversion to design the IMC controller for non-square systems. Several existing approaches for the synthesis of a specific inversion of the identified model will be presented in this paper to deal with the differences between the system’s inputs and outputs numbers. The non-square effective relative gain is firstly presented. It consists of the measurement of interactions between the loops of the system in order to square the system and make it invertible. The equivalent transfer function method is presented as well. It is based on tuning the pseudo-inverse of the process to design the internal model controller. These methods are then compared with a novel proposed model inversion approach based on virtual outputs method. Virtual adding is considered in order to obtain an invertible square transfer matrix to design the internal model controller. This simple yet effective method ensures robust control performance. Its efficiency and availability, as compared with other presented methods, is illustrated through simulations on an overactuated system with three inputs/two outputs.

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“…where: G(0) the static gain matrix and Ω the bandwidth matrix are expressed as follows (Quan et al, 2012; Xiong and Jian, 2006)…”

Section: Imc Designmentioning

confidence: 99%