Feedback linearization control design for the 13C cryogenic separation column

Pop, Cristina Ioana; Festila, C.; Dulf, Éva-Henrietta; Muresan, Cristina I.

doi:10.1109/aqtr.2010.5520898

Cited by 6 publications

(3 citation statements)

References 8 publications

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“…The feedback linearization method can be extended to the nonlinear MIMO square systems (Sastry, 1999). As mentioned earlier, to overcome the disadvantages of classical feedback linearization, the robust feedback linearization can be applied as well (Franco et al, 2006; Pop and Dulf, 2010; Pop et al, 2010).…”

Section: Problem Formulation and Designmentioning

confidence: 99%

Robust feedback linearization of an isothermal continuous stirred tank reactor: H_∞ mixed-sensitivity synthesis and DK-iteration approaches

Tofighi

Bayat

Merrikh-Bayat

2016

Transactions of the Institute of Measurement and Control

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This paper studies the problem of designing a robust controller for the nonlinear multi-input multi-output continuous stirred tank reactor (CSTR) in the presence of uncertainties in parameters of the process model. For this purpose, by first using the feedback linearization method, the equivalent linearized model of the CSTR is obtained. In the second step, to cope with uncertainties, two robust controllers are designed; one using H∞ mixed-sensitivity and the other using DK-iteration method. In this step, the required performance and uncertainties are expressed in terms of the suitable weight functions. Finally, the performance of the resulting feedback system is verified through numerical simulations.

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Section: Problem Formulation and Designmentioning

confidence: 99%

Robust feedback linearization of an isothermal continuous stirred tank reactor: H_∞ mixed-sensitivity synthesis and DK-iteration approaches

Tofighi

Bayat

Merrikh-Bayat

2016

Transactions of the Institute of Measurement and Control

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“…The robust feedback linearization approach where the linearized system would be equal to the tangent linearized system around the chosen operating point causes only a small transformation in the natural behaviour of the original system and the robust linear controller will maintain the robustness properties when applied for uncertain nonlinear systems (Franco et al, 2006;Guillard and Bourles, 2000;Pop et al, 2010). In the works of Glover (1990, 1992), the authors have suggested to combine the loop shaping technique and the H ' robust stabilization approach in order to develop the Loop Shaping Design Procedure (LSDP) approach.…”

Section: Introductionmentioning

confidence: 99%

Synthesis of a robust controller with reduced dimension by the Loop Shaping Design Procedure and decomposition based on Laguerre functions

Salah

Garna

Ragot

et al. 2016

Transactions of the Institute of Measurement and Control

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International audienceIn this paper, we present the synthesis of a robust controller for uncertain discrete systems. The synthesis method of such a robust controller is the generalization of the Loop Shaping Design Procedure (LSDP) approach of McFarlane and Glover in the discrete case based on the work of Gu et al. We exploit the bilinear transform known as Tustin’s method in order to formulate the discrete loop shaping technique. A discrete weighting filter and a shaped discrete plant result from this technique. By taking into account the coprime factor uncertainty representation for the resulting shaped plant and by applying the small gain theorem, we define the concept of the robust stabilization of the discrete LSDP approach. This concept is based on the resolution of an optimization problem characterized by the maximum stability margin for the synthesis of the robust controller. To calculate the robust controller we transform this problem to a standard robust Formula controller design based on the resolution of the Riccati equations. Also, we present the gap metric theory to characterize the controller’s robustness. We note that the resulting final controller is the combination of the discrete weighting filter and the robust controller. We propose then to exploit the recent work of Bouzrara et al. in order to develop a reduced robust controller by expanding the final controller on two independent Laguerre orthonormal bases. The discrete LSDP and the reduced controller approaches were validated on a Continuous Stirred Tank Reactor chemical reactor for a set of different equilibrium points in order to take into account the nonlinearities

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“…The robust feedback linearization approach (Franco et al, 2006;Guillard and Bourles, 2000;Pop et al, 2010) where the linearized system would be equal to the tangent linearized system around the chosen operating point causes only a small transformation in the natural behaviour of the original system in such a way that the robust linear controller will maintain the robustness properties when applied for uncertain nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

Transition and control of nonlinear systems by combining the loop shaping design procedure and the gap metric theory

Salah

Garna

Ragot

et al. 2015

Transactions of the Institute of Measurement and Control

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In this paper, in order to synthesize a control law we propose a new approach that enables identification of the intermediate equilibrium points of a nonlinear system, knowing the first and the last ones. These points are those around which the nonlinear system is linearized and therefore yields local models (sub-models) that contribute to forming the multimodel describing the nonlinear system. This approach is based on the transition from a given point (source) to the next by varying a scheduling parameter (SP) defining the source point sub-model. The variation of this parameter is limited by the maximum value of the stability margin determined by the loop shaping design procedure approach (LSDP) applied to such a sub-model. Hence, the new equilibrium point is defined by the new obtained value of the SP for which the gap metric between this sub-model and the one corresponding to the new value of SP is larger than the given stability margin. The different robust controllers synthesized for the different equilibrium points will be used to synthesize the robust control of the nonlinear system, by applying the gain-scheduling technique. The proposed transition approach as well as the robust control algorithm were validated on the continuous stirred tank reactor (CSTR) system.

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Feedback linearization control design for the 13C cryogenic separation column

Cited by 6 publications

References 8 publications

Robust feedback linearization of an isothermal continuous stirred tank reactor: H_∞ mixed-sensitivity synthesis and DK-iteration approaches

Robust feedback linearization of an isothermal continuous stirred tank reactor: H_∞ mixed-sensitivity synthesis and DK-iteration approaches

Synthesis of a robust controller with reduced dimension by the Loop Shaping Design Procedure and decomposition based on Laguerre functions

Transition and control of nonlinear systems by combining the loop shaping design procedure and the gap metric theory

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Feedback linearization control design for the 13C cryogenic separation column

Cited by 6 publications

References 8 publications

Robust feedback linearization of an isothermal continuous stirred tank reactor: H∞ mixed-sensitivity synthesis and DK-iteration approaches

Robust feedback linearization of an isothermal continuous stirred tank reactor: H∞ mixed-sensitivity synthesis and DK-iteration approaches

Synthesis of a robust controller with reduced dimension by the Loop Shaping Design Procedure and decomposition based on Laguerre functions

Transition and control of nonlinear systems by combining the loop shaping design procedure and the gap metric theory

Contact Info

Product

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Robust feedback linearization of an isothermal continuous stirred tank reactor: H_∞ mixed-sensitivity synthesis and DK-iteration approaches

Robust feedback linearization of an isothermal continuous stirred tank reactor: H_∞ mixed-sensitivity synthesis and DK-iteration approaches