Decentralized Control Structure for Linear Stable and Unstable Plants based on the Output Controllability Analysis

Zaeim, Atousa; Zaeim, Ramin

doi:10.3182/20110828-6-it-1002.00028

Cited by 1 publication

(9 citation statements)

References 17 publications

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“…Achieving appropriate pairs for open loop stable and unstable plants has been reported in [8] and [9]. In [8], a pairing approach based on NI is introduced and a necessary condition for stability of closed loop system is derived.…”

Section: Input-output Pairing For An Open Loop Unstable Plantmentioning

confidence: 99%

“…In [8], a pairing approach based on NI is introduced and a necessary condition for stability of closed loop system is derived. In the following, brief summary of the proposed approaches in [8] and [9] Let us consider the following two cases:…”

Section: Input-output Pairing For An Open Loop Unstable Plantmentioning

confidence: 99%

“…Comparison of the main features of the proposed approach with RGA in [1], Participation Matrix in [5], NI based approach in [8], and output controllability measure in [9] is shown in Table 1. …”

Section: Calculation Of Relative Contribution For All Siso Loops Resumentioning

confidence: 99%

“…This issue is addressed in [9], where output controllability measure for input-output pairing is used. Consider a multivariable system (stable or unstable) represented by (1), and let state space representation of subsystem i j ( y u ) − be:…”

Section: K( S )ĝ( S )mentioning

confidence: 99%

“…Then, 2-norm of output controllability matrix for subsystem (8), called Subsystem Output Controllability Index (SOCI) [9] is computed from:…”

Section: K( S )ĝ( S )mentioning

confidence: 99%

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New input-output pairing based on eigenvalue contribution measures

Ahmadi

Aldeen

2013

2013 9th Asian Control Conference (ASCC)

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In this paper, a new approach based on the concept of combined controllability and observability is proposed to quantify the interaction among the inputs and outputs of both stable and unstable linear multivariable systems. The proposed approach computes the contribution of the system eigenvalues in the outputs and formulates a Relative Contribution Array (RCA) to quantify the input-output interactions and select the most appropriate set of input-output pairs. The proposed approach has many advantages over existing well known approaches, which are illustrated through a widely reported numerical example of a chemical process where conventional RGA is shown to lead to improper pairings while the proposed approach leads to far more accurate assessment of interaction.

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Section: Input-output Pairing For An Open Loop Unstable Plantmentioning

confidence: 99%