Fixed-order LPV controller design for rejection of a sinusoidal disturbance with time-varying frequency

Emedi, Zlatko; Karimi, Alireza

doi:10.1109/cca.2012.6402733

Cited by 16 publications

(12 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is also assumed that the possible small variations or uncertainties of the plant model can be handled by a robust control design. The problem of adaptive regulation as defined above has been previously addressed in a number of papers ( [11][12][13][14][15][16][17][18][19][20][21]) among others. [3] presents a survey of the various techniques (up to 2010) used in adaptive regulation as well as a review of a number of applications.…”

Section: The Adaptive Regulation Paradigmmentioning

confidence: 99%

Adaptive active vibration isolation – A control perspective

Landau

Airimiţoaie

Silva

et al. 2015

MATEC Web of Conferences

View full text Add to dashboard Cite

Abstract. In many classes of applications like active vibration control and active noise control, the disturbances can be characterized by their frequencies content and their location in a specific region in the frequency domain. The disturbances can be of narrow band type (simple or multiple) or of broad band type. A model can be associated to these disturbances. The knowledge of the disturbance model as well as of the compensator system is necessary for the design of an appropriate control system in order to attenuate (or to reject) their effect upon the system to be controlled. The attenuation of disturbances by feedback is limited by the Bode Integral and the "water bed" effect upon the output sensitivity function. In such situations, the feedback approach has to be complemented by a "feedforward disturbance compensation" requiring an additional transducer for getting information upon the disturbance. Unfortunately in most of the situations the disturbances are unknown and time-varying and therefore an adaptive approach should be considered. The generic term for adaptive attenuation of unknown and time-varying disturbances is "adaptive regulation" (known plant model, unknown and time-varying disturbance model).The paper will review a number of recent developments for adaptive feedback compensation of multiple unknown and timevarying narrow band disturbances and for adaptive feedforward compensation of broad band disturbances in the presence of the inherent internal positive feedback caused by the coupling between the compensator system and the measurement of the image of the disturbance. Some experimental results obtained on a relevant active vibration control system will illustrate the performance of the various algorithms presented.

show abstract

Section: The Adaptive Regulation Paradigmmentioning

confidence: 99%

Adaptive active vibration isolation – A control perspective

Landau

Airimiţoaie

Silva

et al. 2015

MATEC Web of Conferences

View full text Add to dashboard Cite

show abstract

“…It is also assumed that the plant model is stable and this property could be the result of a robust control design that is already incorporated in the system under consideration. The problem of disturbance rejection and adaptive regulation as defined above has been previously addressed in a number of papers ( [4], [2], [24], [22], [8], [10], [11], [20], [14], [1], [7], [9], [3], [23], [6]) among others. [15] presents a survey of the various techniques (up to 2010) used as well as a review of a number of applications.…”

Section: Introductionmentioning

confidence: 99%

Direct adaptive regulation in the vicinity of low damped complex zeros — Application to active vibration control

Silva

Landau

Ioannou

2014

22nd Mediterranean Conference on Control and Automation

View full text Add to dashboard Cite

The adaptive feedback approach is now widely used for the rejection of multiple narrow band disturbances with unknown and time varying frequencies in Active Vibration Control (AVC) and Active Noise Control (ANC). The approach is based directly or indirectly on the use of the Internal Model Principle and the Youla-Kučera parametrization combined with an adaptive law. All the algorithms associated with the approach make the assumption that the plant zeros are different from the poles of the disturbance model in order to achieve disturbance compensation. However in practice the problem is more intricate since it is not clear what happens if the plant have very low damped complex zeros (often encountered in mechanical structures) and the frequency of the disturbance is close to the anti-resonance frequency (the resonance frequency of the plant zeros). A recent international investigation on adaptive regulation in the presence of unknown time varying disturbances [16] has considered such a situation for a benchmark example. Several solutions have been proposed and the most successful has been based on the appropriate choice of the desired closed loop poles to be achieved by the Youla-Kučera central controller [5] using a Q FIR filter with the minimum number of parameters. Recently in [12] it was suggested that over parametrization of the Q (FIR) filter can enhance the robustness of the linear and adaptive scheme in the vicinity of plant complex zeros. The present paper compares these two approaches using the same benchmark example as in [16]. The results from simulations and real time experiments used to evaluate the two approaches are presented.

show abstract

“…To perform this, similarly to (W. Gilbert et al [2010]) and (Z. Emedi and A. Karimi [2012]), but taking into account that we treat statespace models, we are looking for a "decoupling matrix" whose stability will be related to the stability of the given LPV system.…”

Section: Fixed-order Lpv Controller Designmentioning

confidence: 99%

“…These ideas are expanded to LPV systems with a scheduling parameter dependent transfer function representation in (W. Gilbert et al [2010]) and (Z. Emedi and A. Karimi [2012]). The approach in (W. Gilbert et al [2010]) is successfully applied to a real turbofan engine control problem.…”

Section: Introductionmentioning

confidence: 99%

Fixed-order LPV Controller Design for LPV Systems by Convex Optimization

Emedi

Karimi

2013

IFAC Proceedings Volumes

Self Cite

View full text Add to dashboard Cite

Fixed-order LPV controller design for rejection of a sinusoidal disturbance with time-varying frequency

Abstract: Abstract-

Cited by 16 publications

References 23 publications

Adaptive active vibration isolation – A control perspective

Adaptive active vibration isolation – A control perspective

Direct adaptive regulation in the vicinity of low damped complex zeros — Application to active vibration control

Fixed-order LPV Controller Design for LPV Systems by Convex Optimization

Contact Info

Product

Resources

About

Fixed-order LPV controller design for rejection of a sinusoidal disturbance with time-varying frequency

Abstract: Abstract-

Cited by 16 publications

References 23 publications

Adaptive active vibration isolation – A control perspective

Adaptive active vibration isolation – A control perspective

Direct adaptive regulation in the vicinity of low damped complex zeros &#x2014; Application to active vibration control

Fixed-order LPV Controller Design for LPV Systems by Convex Optimization

Contact Info

Product

Resources

About

Direct adaptive regulation in the vicinity of low damped complex zeros — Application to active vibration control