Benchmark on adaptive regulation—rejection of unknown/time-varying multiple narrow band disturbances

Abstract

The adaptive regulation is an important issue with a lot of potential for applications in active suspension, active vibration control, disc drives control and active noise control. One of the basic problems from the "control system" point of view is the rejection of multiple unknown and time varying narrow band disturbances without using an additional transducer for getting information upon the disturbances. An adaptive feedback approach has to be considered for this problem. Industry needs a state of the art in the field based on a solid experimental verification. The paper presents a benchmark problem for suppression of multiple unknown and/or timevarying vibrations and an associated active vibration control system using an inertial actuator on which the experimental verifications have been done. The benchmark has three levels of difficulty and the associated control performance specifications are presented 1. An extensive comparison of the results obtained by various approaches will be presented 2. * Control system department of GIPSA-LAB, St. Martin d'héres, 38402 FRANCE (e-mail: [ioan-dore.landau, tudor-bogdan.airimitoaie, abraham.castellanos-silva, Gabriel.Buche]@gipsa-lab.grenoble-inp.fr). † Paulstra S.A.; Vibrachoc Division 1 The GIPSA-LAB team has done the experiments for all the contributors. 2 Results for some of the approaches are included in the proceedings of ECC 13[3], [8], [9], [7], [1], [18].

Identification of High-Tech Motion Systems: An Active Vibration Isolation Benchmark

“…Regarding the challenge component, the system has 8 inputs and 6 outputs with high-order flexible dynamics over a large dynamic range, leading to a complex identification problem, e.g. compared to related control benchmarks in this field (Landau et al, 2013). It is emphasized that though significantly challenging, it is expected that future motion systems have a much higher complexity.…”

“…The proposed benchmark system is an Active Vibration Isolation System (AVIS), which is selected for its application interest, applicability and relevance, and challenge. Regarding application interest, these systems are used in diverse fields, ranging from precision equipment such as lithography and scanning tunneling and atomic force microscopy to vehicles, and their control is an active research topic by itself, see e.g., Landau et al (2013). Regarding applicability and relevance, the considered AVIS is openloop stable.…”

Dynamic Head-Disk Interface Modeling and Adaptive Control of a Hybrid Actuator for Optical Data Storage Systems

“…Disturbance observer approach, [10,11] repetitive control approach, [12,13] and internal model priciple (IMP) based approach [14][15][16] have been sucessfully proposed in the literature to achieve perfect asymptotic attenuation of the unkown narrow band disturbances in a feedback system. Traditional disturbance observer approach uses the Q filter with an inverse of the plant model to observe and eliminate the disturbance, however the disturbance attenuation performance is affected by the phase delay in the Q filter and the applications of the approach usually have been limited to mimumum phase systems or systems having non-zero dynamics.…”

Generalized‐Disturbance Rejection Control for Vibration Suppression of Piezoelectric Laminated Flexible Structures

“…There are only a few control methods considering the influence of disturbances or aiming at rejecting disturbances, for example, ∞ control, adaptive control, and disturbance rejection control. A considerable amount of literatures can be found on ∞ robust control [52][53][54] and adaptive control [55][56][57][58] for vibration suppression problems. Nevertheless, the disturbances considered in ∞ controllers are normally measurement noises with low amplitude and zero mean value.…”