Robust output regulation of linear time-delay systems: A state predictor approach

Yoon, Se Young; Lin, Zongli

doi:10.1002/rnc.3374

Cited by 17 publications

(8 citation statements)

References 33 publications

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“…Proof. The above is a special case of a similar lemma in [29]. The proof comes readily from defining the state transformation z(t) = x(t) − Πw(t), and the input to be in the form of (4).…”

Section: Output Regulation By State Feedbackmentioning

confidence: 88%

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Unbalance compensation for AMB systems with input delay: An output regulation approach

Yoon

Lin

2016

Control Engineering Practice

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Unbalance compensation is an important technique for reducing rotor vibration in high speed rotating machines caused by residual rotor unbalance. As rotating machines in remote applications aim for higher speeds to gain efficiency and to reduce footprint, there is a need to extend the unbalance compensation techniques to active magnetic bearing (AMB) systems with delays in the control loop. This paper investigates the unbalance compensation problem for AMB systems with input delays. An unbalance compensation method is developed based on a solution to the output regulator problem for systems with input delay. The proposed unbalance compensation method is verified through simulation, and experimentally validated on an AMB test rig.

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Section: Output Regulation By State Feedbackmentioning

confidence: 88%

“…For systems with input delay, [27] introduces a robust solution to the output regulation problem. For linear time-invariant and continuous systems with delays in the states, inputs and outputs, the output regulation problem was studied in [28,29].…”

Section: Introductionmentioning

confidence: 99%

Unbalance compensation for AMB systems with input delay: An output regulation approach

Yoon

Lin

2016

Control Engineering Practice

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“…In [20], a tracking control algorithm based on sliding mode prediction for a class of discrete-time uncertain systems is presented. In [22], the authors consider the robust output regulation problem for linear systems in the presence of state, input and output delays. In [11], the authors propose exponential function based fuzzy sliding-mode control design for uncertain nonlinear systems.…”

Section: Yuan LI Ruxia Zhang Yi Zhang and Bo Yangmentioning

confidence: 99%

Sliding mode control for uncertain T-S fuzzy systems with input and state delays

Li¹,

Zhang²,

Zhang³

et al. 2020

NACO

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In this paper, the problem of sliding mode control (SMC) for uncertain T-S (Tagaki-Sugeno) fuzzy systems with input and state delays is investigated , in which the nonlinear uncertain terms are unknown,and also unmatched. For the T-S fuzzy model of the controlled object, a method based on sliding mode compensator is designed, and the system is controlled by sliding mode. Based on solving linear matrix inequalities (LMI), we obtain the design method of sliding mode and controller. The sufficient conditions for the asymptotical stability of the sliding mode dynamics are given by using LMI technique and the Lyapunov stability theory, and it has been shown that the state trajectories can be driven onto the sliding surface in a finite time. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theories.

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“…This illustrates Theorem 3.10 and the design procedure of finite-dimensional regulating controllers in Section 2. For delay systems, the problem of output regulation has been investigated in [8,13,55] and the reference therein. Recently, the solvability of the output regulation problem for delay systems with infinite-dimensional state spaces has been characterized by the associated regulator equations in [32].…”

Section: Application To Delay Systemsmentioning

confidence: 99%

Sampled-data output regulation of unstable well-posed infinite-dimensional systems with constant reference and disturbance signals

Wakaiki

Sano

2019

Math. Control Signals Syst.

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We study the sample-data control problem of output tracking and disturbance rejection for unstable well-posed linear infinite-dimensional systems with constant reference and disturbance signals. We obtain a sufficient condition for the existence of finite-dimensional sampled-data controllers that are solutions of this control problem. To this end, we study the problem of output tracking and disturbance rejection for infinite-dimensional discretetime systems and propose a design method of finite-dimensional controllers by using a solution of the Nevanlinna-Pick interpolation problem with both interior and boundary conditions. We apply our results to systems with state and output delays.Keywords Frequency-domain methods · Output regulation · Sampled-data control · State-space methods · Well-posed infinite-dimensional systems Mathematics Subject Classification (2010) 93B52 · 93C05 · 93C25 · 93C35 · 93C57 · 93D15

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Robust output regulation of linear time-delay systems: A state predictor approach

Cited by 17 publications

References 33 publications

Unbalance compensation for AMB systems with input delay: An output regulation approach

Unbalance compensation for AMB systems with input delay: An output regulation approach

Sliding mode control for uncertain T-S fuzzy systems with input and state delays

Sampled-data output regulation of unstable well-posed infinite-dimensional systems with constant reference and disturbance signals

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