Selection of variables for stabilizing control using pole vectors

Havre, Kjetil; Skogestad, Sigurd

doi:10.1109/tac.2003.816062

Cited by 11 publications

(14 citation statements)

References 15 publications

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“…Clearly, the achievable input performance is zero for stable systems. These results generalize the previous results of Havre and Skogestad [4] to systems with multiple unstable poles and time delay.…”

Section: Introductionsupporting

confidence: 90%

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Input performance limitations of feedback control

Kariwala

Skogestad

Forbes

et al. 2004

Proceedings of the 2004 American Control Conference

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This paper deals with input performance limitations of feedback control. The achievable input performance depends on the joint controllability and observability of unstable poles and is exactly quantified for single input single output (SISO) and multi input multi output (MIMO) systems with and without time delay. We also present a modification of µ-interaction measure to assess the feasibility of decentralized stabilization with independent designs of loops. The results are useful for various purposes including designs of the process, control structure and optimal controller synthesis.

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Section: Introductionsupporting

confidence: 90%

“…However, the focus has largely been on obtaining bounds on sensitivity and complementary sensitivity functions. Havre and Skogestad derived expressions for lower bound on achievable input performance for unstable systems [3] and extended their results to get exact expressions for rational systems with single unstable pole [4]. Chen et.…”

Section: Introductionmentioning

confidence: 99%

Input performance limitations of feedback control

Kariwala

Skogestad

Forbes

et al. 2004

Proceedings of the 2004 American Control Conference

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“…The output pole vector y p,i for a process with statespace representation (A, B, C, D) is defined by (Havre and Skogestad (2003))…”

Section: Pole Vectorsmentioning

confidence: 99%

Controllability analysis of severe slugging in well-pipeline-riser systems

Jahanshahi

Skogestad

Helgesen

2012

IFAC Proceedings Volumes

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Active control of the production choke valve is the recommended solution to prevent severe slugging flow conditions at offshore oilfields. The focus of this work is to find the structure of a simple, yet robust anti-slug control system. In order to find suitable control variables for stabilization, a controllability analysis of the system with different available measurements or different combinations of them was performed. Moreover, for including robustness and performance requirements at the same time, the controllability analysis was extended to a mixed sensitivity H ∞ optimization problem. Two case studies were considered; first, the controllability analysis was performed on a pipeline-rise system using a 4-state model for comparing the results to the previous works. Next, using a 6-state model, the results were extended to a more general well-pipeline-riser system. The controllability results were in accordance with the practical experience in anti-slug control.

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“…being Q a positive definite matrix. A similar idea was firstly introduced in Havre and Skogestad (2003), but for optimal feedback stabilization of a system with only one unstable pole. The dependence of the index (11) with the chosen pattern is very complex, but it is possible to compare them, at least, in a numerical way.…”

Section: Minimization Of a Cost Indexmentioning

confidence: 99%