Repetitive control of MIMO systems using H∞ design

Weiss, George; Häfele, Martin

doi:10.1016/s0005-1098(99)00036-9

Cited by 165 publications

(114 citation statements)

References 31 publications

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“…We will follow the control-based design procedure for repetitive controllers proposed in [12], which uses additional measurement information from the plant. The block diagram of the control system is shown in Fig.…”

Section: Controller Designmentioning

confidence: 99%

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>tex<$H^infty$>/tex<Repetitive Control of DC-AC Converters in Microgrids

Weiss

Zhong

Green

et al. 2004

IEEE Trans. Power Electron.

190

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Abstract-This paper proposes a voltage controller design method for dc-ac converters supplying power to a microgrid, which is also connected to the power grid. This converter is meant to operate in conjunction with a small power generating unit. The design of the output voltage controller is based on and repetitive control techniques. This leads to a very low harmonic distortion of the output voltage, even in the presence of nonlinear loads and/or grid distortions. The output voltage controller contains an infinite-dimensional internal model, which enables it to reject all periodic disturbances which have the same period as the grid voltage, and whose highest frequency components are up to approximately 1.5 kHz.

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Section: Controller Designmentioning

confidence: 99%

“…Repetitive control [12]- [15] is such a control technique. In this paper, we design the voltage controller based on the repetitive control theory developed in [12], leading to a very low harmonic distortion of the microgrid voltage even in the presence of nonlinear loads and/or grid distortions.…”

mentioning

confidence: 99%

>tex<$H^infty$>/tex<Repetitive Control of DC-AC Converters in Microgrids

Weiss

Zhong

Green

et al. 2004

IEEE Trans. Power Electron.

190

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show abstract

“…Output tracking of signals generated by an infinite-dimensional exosystem have been studied using state space methods in [20,17,28,25,30], and using frequency domain techniques in [45,34,46,22]. Robust tracking of nonsmooth periodic functions has also been studied extensively in repetitive control [18,44,41] where the control objective is to achieve precise tracking for a finite number of frequency components of y ref (·).…”

Section: Introductionmentioning

confidence: 99%

Robust Controllers for Regular Linear Systems with Infinite-Dimensional Exosystems

Paunonen¹

2017

SIAM J. Control Optim.

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Abstract. We construct two error feedback controllers for robust output tracking and disturbance rejection of a regular linear system with nonsmooth reference and disturbance signals. We show that for sufficiently smooth signals the output converges to the reference at a rate that depends on the behaviour of the transfer function of the plant on the imaginary axis. In addition, we construct a controller that can be designed to achieve robustness with respect to a given class of uncertainties in the system, and present a novel controller structure for output tracking and disturbance rejection without the robustness requirement. We also generalize the internal model principle for regular linear systems with boundary disturbance and for controllers with unbounded input and output operators. The construction of controllers is illustrated with an example where we consider output tracking of a nonsmooth periodic reference signal for a two-dimensional heat equation with boundary control and observation, and with periodic disturbances on the boundary. IntroductionThe purpose of this paper is to construct controllers for robust output regulation of a regular linear system 1 [39, 40, 36]on an infinite-dimensional Banach space X. The main goal in the control problem is to achieve asymptotic convergence of the output y(t) to a given reference signal y ref (t) despite external disturbance signals w(t). In addition, it is required that the controller is robust in the sense that output tracking is achieved even under perturbations and uncertainties in the operators (A, B, B d , C, D) of the plant. The class of regular linear systems facilitates the study of robust output tracking and disturbance rejection for many important classes partial differential equations with boundary control and observation with corresponding unbounded operators B, B d and C [9,16,47,25]. In this paper we continue the work on designing robust controllers for regular linear systems begun recently in [26].The reference signal y ref (t) and the disturbance signals w(t) considered in the robust output regulation problem are assumed to be generated by an exosystem of the forṁ

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“…If an internal model with transfer function 1/(s 2 +ω 2 ) (with suitable multiplicity) is in the feedback loop and the closed-loop system is stable, then we obtain tracking and/or disturbance rejection for sinusoidal reference and disturbance signals of frequency ω, see for example Davison and Goldenberg (1975). If the reference and disturbance signals are periodic, then the internal model principle leads to repetitive control (see for example Hara, Yamamoto, Omata, and Nakano (1988), and Weiss and Häfele (1999)). …”

Section: Introductionmentioning

confidence: 99%

Tracking and disturbance rejection for fully actuated mechanical systems

Jayawardhana

Weiss

2008

Automatica

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Repetitive control of MIMO systems using H∞ design

Cited by 165 publications

References 31 publications

>tex<$H^infty$>/tex<Repetitive Control of DC-AC Converters in Microgrids

>tex<$H^infty$>/tex<Repetitive Control of DC-AC Converters in Microgrids

Robust Controllers for Regular Linear Systems with Infinite-Dimensional Exosystems

Tracking and disturbance rejection for fully actuated mechanical systems

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Repetitive control of MIMO systems using H∞ design

Cited by 165 publications

References 31 publications

&gt;tex&lt;$H^infty$&gt;/tex&lt;Repetitive Control of DC-AC Converters in Microgrids

&gt;tex&lt;$H^infty$&gt;/tex&lt;Repetitive Control of DC-AC Converters in Microgrids

Robust Controllers for Regular Linear Systems with Infinite-Dimensional Exosystems

Tracking and disturbance rejection for fully actuated mechanical systems

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>tex<$H^infty$>/tex<Repetitive Control of DC-AC Converters in Microgrids

>tex<$H^infty$>/tex<Repetitive Control of DC-AC Converters in Microgrids