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Title: Further results on expansion design of partially decentralized controllers: 2×2 plant cases
Authors: Lee, T.K.
Chiu, M.-S. 
Keywords: Block relative gain
Expansion design
Partially decentralized controller
Pseudo inverse factor
Issue Date: Jan-2001
Source: Lee, T.K.,Chiu, M.-S. (2001-01). Further results on expansion design of partially decentralized controllers: 2×2 plant cases. Chemical Engineering Research and Design 79 (1) : 89-96. ScholarBank@NUS Repository.
Abstract: An expansion procedure to design partially decentralized controllers was recently proposed. This method requires the operation of pseudo-inverse of non-square matrices, which is not unique. Thus, it introduces an extra design freedom, which was not addressed in the previous studies. In this paper, the effect of the pseudo-inverse on the stability and performance of 2x2 partially decentralized control systems is studied. Specifically, the range of the pseudo-inverse factors arising from the stability condition of the control system is derived. In addition, an 'ideal' pseudo-inverse factor, which minimizes interaction in the control system, is obtained based on the concept of non-square block relative gain. Simulation results show that a partially decentralized controller with the 'ideal' pseudo-inverse factor gives an improved controller performance.
Source Title: Chemical Engineering Research and Design
ISSN: 02638762
DOI: 10.1205/026387601528426
Appears in Collections:Staff Publications

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