Multivariable quantitative feedback design for tracking error specifications

Boje, Edward

doi:10.1016/s0005-1098(01)00177-7

Cited by 18 publications

(49 citation statements)

References 11 publications

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“…These specifications put the responses of the controlled system between two lower and upper bounds, [5]- [7]. The pre-filter is simply designed in the conventional QFT approach, particularly when the MATLABR QFT-Toolbox, [6] A fewer works employ tracking error specifications as desired specifications, [1]- [2], [4]- [5] and [8]. Constraining the magnitude of the difference between the closed loop transfer function and reference model to lie within a disk can make a better engineering sense, [4].…”

Section: Introductionmentioning

confidence: 99%

“…The pre-filter is simply designed in the conventional QFT approach, particularly when the MATLABR QFT-Toolbox, [6] A fewer works employ tracking error specifications as desired specifications, [1]- [2], [4]- [5] and [8]. Constraining the magnitude of the difference between the closed loop transfer function and reference model to lie within a disk can make a better engineering sense, [4]. The idea of tracking error specifications has been proposed by Yaniv and Chait [8] for Multi-Input, Multi-Output (MIMO) uncertain systems.…”

Section: Introductionmentioning

confidence: 99%

“…By selecting the reference model as pre-filter, they lost one degree of freedom. In [4], the QFT controllers were designed such that the closed loop transfer function is bounded within a disk around some nominal performance with 2DOF control system. In [4], in order to design the pre-filter, a constraint was introduced for each column of the prefilter matrix, and then a non-linear search was used to find the individual elements of pre-filter matrix, i.e., fi (s) .…”

Section: Introductionmentioning

confidence: 99%

“…In [2], a novel methodology through the concepts of model-matching problem and unstructured uncertainty has been provided which leads to simple and low order controllers. It may be over-design as a result of a poor choice of the nominal plant in [2] and [4]. Since the over-bounding is used for pre-filter design in both of proposed methods, [2] and [4] lead to conservative solutions.…”

Section: Introductionmentioning

confidence: 99%

“…It may be over-design as a result of a poor choice of the nominal plant in [2] and [4]. Since the over-bounding is used for pre-filter design in both of proposed methods, [2] and [4] lead to conservative solutions.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Pre-Filter Design for Tracking Error Specifications in MIMO-QFT

Alavi

Sedigh²,

Labibi³

Proceedings of the 44th IEEE Conference on Decision and Control

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This paper presents a novel approach to solve the MIMO-QFT problem for tracking error specification through a method of obtaining exact bounds for the design of individual elements of pre-filter. The paper specifically deals with the appropriate transformation of the MIMO system to the equivalent SISO problems, which allows easy design to find the feedback compensator and pre-filter. A linearized model of quadruple-tank process is used to show the effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Pre-Filter Design for Tracking Error Specifications in MIMO-QFT

Alavi

Sedigh²,

Labibi³

Proceedings of the 44th IEEE Conference on Decision and Control

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Nonconservative QFT bounds for tracking error specifications

Elso

Gil-Martínez

García-Sanz

2011

Intl J Robust & Nonlinear

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SUMMARY An alternative to the traditional QFT tracking problem, in which upper and lower tolerances are imposed on the magnitude of the tracking transfer function, is to define the robust specification as a boundary on the deviation of such function from a predefined model. However, previous research exploring this approach reveals a certain overdesign and dependence on the choice of the nominal plant. This paper establishes a necessary condition on the controller from tracking error specifications. With this condition, the controller bounds introduce no overdesign, and the resulting two‐degrees‐of‐freedom design is independent of the choice of the nominal plant, similar to the traditional approach. Copyright © 2011 John Wiley & Sons, Ltd.

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A quantitative feedback solution to the multivariable tracking error problem

Elso

Gil-Martínez

García-Sanz

2013

Int. J. Robust. Nonlinear Control

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SUMMARYThis paper introduces a novel solution for the multi‐input multi‐output (MIMO) quantitative feedback theory control design problem with tracking error specifications. Looking for a minimum controller overdesign, the technique finds new controller quantitative feedback theory bounds based on necessary and sufficient conditions for the existence of suitable associated prefilter matrix elements. It improves previous approaches to the subject and includes (i) the possibility of a free selection of the nominal plant, (ii) a less conservative application of the Schwartz inequality to decisively reduce the potential controller overdesign, (iii) a methodology to design independently the elements of the prefilter matrix, and (iv) a scope of application to both sequential and nonsequential MIMO controller design methods. The benefits of the new control design technique are illustrated by means of two examples. The first one, a standard 2 × 2 MIMO problem, is provided for comparison purposes with previous approaches. The second example, included as a major control challenge, deals with a well‐known demanding distillation column benchmark problem. Copyright © 2013 John Wiley & Sons, Ltd.

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Multivariable quantitative feedback design for tracking error specifications

Cited by 18 publications

References 11 publications

Pre-Filter Design for Tracking Error Specifications in MIMO-QFT

Pre-Filter Design for Tracking Error Specifications in MIMO-QFT

Nonconservative QFT bounds for tracking error specifications

A quantitative feedback solution to the multivariable tracking error problem

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