1994
DOI: 10.1016/0005-1098(94)90001-9
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Modeling for control of rotating stall

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Cited by 61 publications
(37 citation statements)
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“…Since its development, several researchers have used the Moore-Greitzer three state model (MG3) to design stabilizing controllers for stall and surge. The available control approaches may be divided into three main categories: 1) Linearization and linear perturbation models (e.g., [21,18,5] among others); 2) Bifurcation analysis (e.g., [11,12,6,16,1]); and 3) Lyapunov based methods (e.g., [8,4,20]). Most existing results focus on the development of state feedback controllers which may not be implementable.…”
Section: Introduction and Problem Descriptionmentioning
confidence: 99%
“…Since its development, several researchers have used the Moore-Greitzer three state model (MG3) to design stabilizing controllers for stall and surge. The available control approaches may be divided into three main categories: 1) Linearization and linear perturbation models (e.g., [21,18,5] among others); 2) Bifurcation analysis (e.g., [11,12,6,16,1]); and 3) Lyapunov based methods (e.g., [8,4,20]). Most existing results focus on the development of state feedback controllers which may not be implementable.…”
Section: Introduction and Problem Descriptionmentioning
confidence: 99%
“…The second is bifurcation-based rotating stall control law developed by Abed and his coworkers [25,37], and was shown to be effective for the implementation in industrial turbomachinery by Nett and his group [11,12]. Other important research work along this direction is the linear control method which extends the stable operating range of the compressor up to 20% [29,30], and the backstepping mthod reported in [23] leading to a global stabilization feedback control law.…”
Section: -2 1 Introductionmentioning
confidence: 99%
“…Another QC of an incremental nature can be mentioned for (9). Indeed, ∀ φ 1 and ∀ φ 2 the inequality below holds…”
Section: A Quadratic Constraints For Nonlinearity In the Surge Subsymentioning
confidence: 99%
“…where w(φ) is defined in (9). Applying conditions of the Circle criterion to the closed-loop system (14) with the QC (11), results in parameters λ 1 , λ 2 and α of the controller (13), which makes the closed-loop quadratically stable.…”
Section: B State Feedback Law Design For the Surge Subsystemmentioning
confidence: 99%
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