Two-degree-of-freedom controller design for an ill-conditioned distillation process using μ-synthesis

Lundström, Petter; Skogestad, Sigurd; Doyle, John C.

doi:10.1109/87.736744

Cited by 38 publications

(19 citation statements)

References 27 publications

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“…Our design is different from the design in [23] and [22] in various manners. First, instead of a 2nd order model, we used a 6th order model which is justified by simulation results from nonlinear system.…”

Section: Discussionmentioning

confidence: 98%

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A 2-DoF multi-objective H

Zakeri

Sadeghi

2010

2010 International Conference on Computer Applications and Industrial Electronics

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In this paper, we propose a robust H∞/L1 control system for a high purity distillation column. The original nonlinear model of the column is of high order and it includes parametric uncertainty. A reduced-order linearized model of the distillation column is used to design a 2-DoF multi-objective H∞/L1 controller which ensures robust stability of the closed loop system and fulfillment of certain design specifications. The design process is formulated and solved using linear matrix inequalities (LMIs), which is an invaluable tool in control systems. To maintain performance over different values of uncertainty, we reform the uncertainties as polytopic uncertainty, which is easily convertible to LMIs. Then, a simulation of the closed loop system with the nonlinear distillation column model is performed, which shows excellent performance for various reference values tracking and disturbances rejection.

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Section: Discussionmentioning

confidence: 98%

“…[22]. Another 2-DoF with a reference model and using μ-synthesis is presented in [23]. In addition, several methods have been published to tackle the distillation column problem ( [24]- [28]).…”

Section: Discussionmentioning

confidence: 99%

A 2-DoF multi-objective H

Zakeri

Sadeghi

2010

2010 International Conference on Computer Applications and Industrial Electronics

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“…Yue [7] reported in the year 1990 by applying one degree-of-freedom of H∞ mixed sensitivity technique for applications like helicopter problems. Lundstrom [8] and Postlethwaite [9] et al in year 1993 and 1994 presented on two degree-of-freedom controllers of H∞ mixed sensitivity formulations.…”

Section: Historical Backgroundmentioning

confidence: 99%

“…The proposed H∞ filter controller design methods can be applied successfully to a nonlinear, uncertain system with a simple feedback linearization controller. 8 Robust H∞ Decentralized Fuzzy Tracking Control for Bank-to-Turn Missiles [28] Authors have proposed a robust H∞ based decentralized fuzzy model which is a reference tracking control design with uncertain parameters and external disturbances.…”

Section: Sufficientmentioning

confidence: 99%

Comparative Account of Robust H∞ Techniques for Missile Autopilot Design

Sastry¹,

Ray²,

Rao³

et al. 2019

IJIGSP

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H∞ control techniques are prominently used as solutions for flight control problems. From the literature, a variety of techniques is reported in the last three decades with specific merits and demerits, which, when applied to multiple flight control scenarios, showing trade off in terms of performance and robustness. However, all these methods possess superior performance when compared with that of classical approaches. In this paper an attempt is made to provide an insight into the requirements and criticalities in the design of missile autopilot. This paper introduces some of the significant H∞ control techniques like H∞ mixed sensitivity, H∞ loop shaping and μ synthesis, with specific emphasis on analysis of autopilot design. A comparative account of modern control methods is presented on the basis of system performance and robustness, which will be helpful in the selection of the appropriate design method for specific application.

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“…Design of stabilizing controllers for unstable distillation columns was introduced in [14]. Robust H ∞ controller with special attention paid to approximation of given control objectives into frequency domain weights can be found in [15].…”

Section: Introductionmentioning

confidence: 99%