Journal ArticleDOI
Hybrid Integrator-Gain Systems: A Remedy for Overshoot Limitations in Linear Control?
S. J. A. M. van den Eijnden,MF Marcel Heertjes,Wpmh Maurice Heemels,Henk Nijmeijer +3 more
- Vol. 4, Iss: 4, pp 1042-1047
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TLDR
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 stabilizinglinear time- Invariant feedback controller can be eliminated with a hybrid integrator-gain-based control strategy.Abstract:
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-invariant feedback controller can be eliminated with a hybrid integrator-gain-based control strategy. Key design considerations underlying the presented controller are discussed, and an interpretation of the working mechanism is provided.read more
Citations
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Journal ArticleDOI
Reset PID design for motion systems with Stribeck friction
TL;DR: A reset control approach to achieve setpoint regulation of a motion system with a proportional-integral-derivative (PID)-based controller, subject to Coulomb friction and a velocity-weakening contribution, showing superior performance over classical PID control.
Journal ArticleDOI
A Frequency-Domain Tuning Method for a Class of Reset Control Systems
TL;DR: In this article, the frequency-domain framework and the frequency domain stability method are used to tune CgLp compensators, which can achieve more favorable dynamic performance than the PID controller.
Journal ArticleDOI
Projection-based integrators for improved motion control: Formalization, well-posedness and stability of hybrid integrator-gain systems
D.A. Deenen,Bardia Sharif,Sebastiaan van den Eijnden,H. Nijmeijer,Maurice Heemels,MF Marcel Heertjes +5 more
TL;DR: The hybrid integrator-gain system (HIGS) as mentioned in this paper is a nonlinear integrator designed to avoid the limitations typically associated with linear integrators, which keeps the sign of its input and output equal, thereby inducing less phase lag than a linear integrator.
Journal ArticleDOI
Reset PID Design for Motion Systems With Stribeck Friction
TL;DR: In this paper , a reset control approach was proposed to achieve setpoint regulation of a motion system with a proportional integral-derivative (PID)-based controller, subject to Coulomb friction and a velocity-weakening (Stribeck) contribution.
Proceedings ArticleDOI
On the Equivalence of Extended and Oblique Projected Dynamics with Applications to Hybrid Integrator-Gain Systems
TL;DR: In this paper, the equivalence results of extended PDS and oblique PDS are established for hybrid integrator-gain systems (HIGS), which are recently introduced hybrid control elements aiming at overcoming fundamental limitations of linear time invariant control.
References
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YALMIP : a toolbox for modeling and optimization in MATLAB
TL;DR: Free MATLAB toolbox YALMIP is introduced, developed initially to model SDPs and solve these by interfacing eternal solvers by making development of optimization problems in general, and control oriented SDP problems in particular, extremely simple.
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On characterizations of the input-to-state stability property
Eduardo D. Sontag,Yuan Wang +1 more
TL;DR: In this paper, the Lyapunov sufficient condition for "input-to-state stability" (ISS) is also shown to be necessary and sufficient, which is an open question raised by several authors.
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On implementing a primal-dual interior-point method for conic quadratic optimization
TL;DR: The main features of the implementation are it is based on a homogeneous and self-dual model, it handles rotated quadratic cones directly, it employs a Mehrotra type predictor-corrector extension and sparse linear algebra to improve the computational efficiency and it exploits fixed variables which naturally occurs in many conic Quadratic optimization problems.
Book
Fundamental Limitations in Filtering and Control
TL;DR: This book presents a comprehensive analysis of modern results, featuring contemporary developments in multivariable systems, sampled-data, periodic and nonlinear problems, featuring particular prominence to sensitivity functions which measure the fundamental qualities of the system, including performance and robustness.
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A nonlinear integrator for servomechanisms
TL;DR: In this paper, a nonlinear integrator is described which is superior in this respect to a linear type in the forward part of a servomechanism loop, where the time delay involved.
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