A Flexible Transmission System as a Benchmark for Robust Digital Control*

Landau, Ioan Doré; Rey, D.; Karimi, Alireza; Voda, Alina; Franco, A.

doi:10.1016/s0947-3580(95)70011-5

Cited by 166 publications

(79 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this paper we tried to show the effectiveness of the proposed approach by means of a simulation example. This approach has been applied to an international benchmark problem for robust controller design [27] and a controller with only 7 parameters has been designed that meets all benchmark specifications. These results are not included in this paper because of space limitation but are available in [28].…”

Section: Discussionmentioning

confidence: 99%

Fixed-order H∞ controller design for nonparametric models by convex optimization

Karimi¹,

Galdos²

2010

Automatica

127

View full text Add to dashboard Cite

A new approach for robust fixed-order H∞ controller design by convex optimization is proposed. Linear time-invariant singleinput single-output systems represented by nonparametric models in the frequency domain are considered. It is shown that the H∞ robust performance condition can be represented by a set of linear or convex constraints with respect to the parameters of a linearly parameterized controller in the Nyquist diagram. Multimodel and frequency-domain uncertainty can be considered straightforwardly in the proposed approach. The proposed method is compared with the standard H∞ control problem by a simulation example on an unstable system.

show abstract

Section: Discussionmentioning

confidence: 99%

Fixed-order H∞ controller design for nonparametric models by convex optimization

Karimi¹,

Galdos²

2010

Automatica

127

View full text Add to dashboard Cite

show abstract

“…which corresponds to a stable minimum-phase model of the flexible transmission system proposed as a benchmark for digital control design in [25]. The control objective is defined by the reference model…”

Section: Numerical Examplementioning

confidence: 99%

Data‐driven model reference control with asymptotically guaranteed stability

Heusden

Karimi

Bonvin

2010

Adaptive Control & Signal

120

105

View full text Add to dashboard Cite

SUMMARYThis paper presents a data-driven controller tuning method that includes a set of constraints for ensuring closed-loop stability. The approach requires a single experiment and can also be applied to nonminimum-phase and unstable systems. The tuning scheme generates an estimate of the closedloop output error that is used to minimize an approximation of the model reference control problem. The correlation approach is used to deal with the influence of measurement noise. For linearly parameterized controllers, this leads to a convex optimization problem. A sufficient condition for closed-loop stability is introduced, which can be included in the optimization problem for control design. As the data length tends to infinity, closed-loop stability is guaranteed. The quality of the estimated controller is analyzed for finite data length. The effectiveness of the proposed method is demonstrated in simulation as well as experimentally on a laboratory-scale mechanical setup.

show abstract

“…In addition to these classical ones it is proposed that a third one is used, namely the delay margin. The delay margin of a closed-loop system can be defined in the following way (modifying slightly the definition in [Landau et al, 1995]). If the Nyquist curve intersects the unit circle at frequencies ω i with the corresponding phase margins Φ i then the delay margin can be defined as…”

Section: Dead-time Compensationmentioning

confidence: 99%

Robust tuning procedures of dead-time compensating controllers

Ingimundarson

Hägglund

2001

Control Engineering Practice

View full text Add to dashboard Cite

This paper describes tuning procedures for dead-time compensating controllers (DTC). Both stable and integrating processes are considered. Simple experiments are performed to obtain process models as well as bounds on the allowable bandwidth for stability. The DTC's used have few parameters with clear physical interpretation so that manual tuning is possible. Furthermore, it is shown how the DTC's can be made robust towards dead-time variations.

show abstract

A Flexible Transmission System as a Benchmark for Robust Digital Control*

Cited by 166 publications

References 10 publications

Fixed-order H∞ controller design for nonparametric models by convex optimization

Fixed-order H∞ controller design for nonparametric models by convex optimization

Data‐driven model reference control with asymptotically guaranteed stability

Robust tuning procedures of dead-time compensating controllers

Contact Info

Product

Resources

About