Stage Motion Control: Nonlinear Integrators Revisited

MF Heertjes, TP Hoogeveen… - Annual Review of …, 2024 - annualreviews.org
Linear integrators are well known for their ability to counter static forces and improve low-
frequency disturbance rejection properties in control systems. However, linear integrators …

[HTML][HTML] Projection-based integrators for improved motion control: Formalization, well-posedness and stability of hybrid integrator-gain systems

DA Deenen, B Sharif, S van den Eijnden, H Nijmeijer… - Automatica, 2021 - Elsevier
In this paper we formally describe the hybrid integrator-gain system (HIGS), which is a
nonlinear integrator designed to avoid the limitations typically associated with linear …

To stick or to slip: A reset PID control perspective on positioning systems with friction

A Bisoffi, R Beerens, W Heemels, H Nijmeijer… - Annual Reviews in …, 2020 - Elsevier
We overview a recent research activity where suitable reset actions induce stability and
performance of PID-controlled positioning systems suffering from nonlinear frictional effects …

Stability and performance of SISO control systems with first-order reset elements

D Nesic, AR Teel, L Zaccarian - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
We consider set-point regulation and \calL_2 robust stability properties of a class of reset
control systems consisting of a minimum-phase relative degree-one linear SISO plant …

Hybrid integrator-gain systems: A remedy for overshoot limitations in linear control?

S Van den Eijnden, MF Heertjes… - IEEE Control …, 2020 - ieeexplore.ieee.org
This letter shows that for a single-input single-output linear time-invariant plant having a real
unstable open-loop pole, the overshoot inherent when using any stabilizing linear time …

Frequency-domain tools for stability analysis of reset control systems

S Van Loon, KGJ Gruntjens, MF Heertjes… - Automatica, 2017 - Elsevier
The potential of reset controllers to improve the transient performance of linear (motion)
systems has been extensively demonstrated in the literature. The design and stability …

Hybrid integrator design for enhanced tracking in motion control

DA Deenen, MF Heertjes, W Heemels… - 2017 American …, 2017 - ieeexplore.ieee.org
This paper discusses a novel hybrid integrator design that (a) gives improved low-frequency
disturbance rejection properties under double-integrator control, but (b) avoids the …

Reset integral control for improved settling of PID-based motion systems with friction

R Beerens, A Bisoffi, L Zaccarian, W Heemels… - Automatica, 2019 - Elsevier
We present a reset control approach to improve the transient performance of a PID-
controlled motion system subject to Coulomb and viscous friction. A reset integrator is …

-Gain Analysis for a Class of Hybrid Systems With Applications to Reset and Event-Triggered Control: A Lifting Approach

W Heemels, GE Dullerud… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
In this paper we study the stability and L 2-gain properties of a class of hybrid systems that
exhibit linear flow dynamics, periodic time-triggered jumps and arbitrary nonlinear jump …

Stabilization of linear impulsive systems through a nearly-periodic reset

L Hetel, J Daafouz, S Tarbouriech, C Prieur - Nonlinear Analysis: Hybrid …, 2013 - Elsevier
This paper deals with the class of impulsive systems constituted by a continuous-time linear
dynamics for all time, except at a sequence of instants. When such a discrete time occurs …