Frequency-domain robust control toolbox

This paper focuses on the problem of voltage control of islanded inverterinterfaced microgrids consisting of several distributed generation (DG) units with parallel structure. The main objectives are to (i) design a decentralized/distributed voltage controller with minimum information exchange between DG units and their local controllers (ii) design a fixed-/low-order dynamic output feedback controller which ensures stability as well as desired performance of the microgrid system in spite of load parameter uncertainties. To this end, the problem is formulated as an optimization problem which is the minimization of the cardinality of a pattern matrix subject to an H ∞ performance constraint. Since the problem is intrinsically non-convex, a convex design procedure for the controller synthesis is proposed in this paper. The effectiveness of the proposed controller is evaluated through simulation studies and Hardware-In-the-Loop (HIL) verifications. The simulation and experimental results demonstrate that the effectiveness of the proposed control strategy.

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“…• Initial centralized controllers are designed by FDRC (Frequency-Domain Robust Controller) Toolbox [40] for each vertex of the polytope.…”

Section: Resultsmentioning

confidence: 99%

Fixed-order decentralized/distributed control of islanded inverter-interfaced microgrids

Sadabadi

Karimi

2015

Control Engineering Practice

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“…Moreover, only the frequency response of the plant model is used to compute the controller parameters by a convex optimization algorithm. A public-domain toolbox for robust controller design in the frequency domain [9] is used to compute the controller, which guarantees performance, robustness and stability.…”

Section: Introductionmentioning

confidence: 99%

High performance control of a Corner Cube Reflector by a frequency-domain data-driven robust control method

Thalmann

Regamey

Karimi

2016

2016 American Control Conference (ACC)

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Abstract-The linear motion of the Corner Cube Mechanism developed for the infrared sounder of the third generations of Meteosat weather satellites requires a high level of accuracy. The system is subject to external micro-vibration perturbations from surrounding instruments, which cannot be rejected with the current PID controllers with notch filters. A data-driven H∞ robust controller design method is proposed to improve the control performance. The method uses only frequency-domain data and satisfies the constraints on the weighted infinity-norm of sensitivity functions using the convex optimization algorithms. The frequency response of the system is identified from the finite element model of the system. The designed controller is validated in simulation. The performance improvement with respect the PID controller with notch filters is illustrated via experimental results.

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“…• The Frequency-Domain Robust Control Toolbox [11] is used for solving this problem. For the convenience, the internal model is considered as a part of the plant model, i.e.…”

Section: Remarksmentioning

confidence: 99%

“…Moreover, a solution to a challenging benchmark problem [9] for rejection of timevarying narrow-band disturbances is provided. The results are computed using a new public-domain toolbox for robust controller design in the frequency domain which is available in [11].…”

Section: Introductionmentioning

confidence: 99%

H∞ gain-scheduled controller design for rejection of time-varying narrow-band disturbances applied to a benchmark problem

Karimi

Emedi

2013

European Journal of Control

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A new method for H-infinity gain-scheduled controller design by convex optimization is proposed that uses only frequencydomain data. The method is based on loop shaping in the Nyquist diagram with constraints on the weighted infinity-norm of closed-loop transfer functions. This method is applied to a benchmark for adaptive rejection of multiple narrow-band disturbances. First, it is shown that a robust controller can be designed for the rejection of a sinusoidal disturbance with known frequency. The disturbance model is fixed in the controller, based on the internal model principle, and the other controller parameters are computed by convex optimization to meet the constraints on the infinity-norm of sensitivity functions. It is shown next that a gain scheduled-controller can be computed for a finite set of disturbance frequencies by convex optimization. An adaptation algorithm is used to estimate the disturbance frequency which adjusts the parameters of the internal model in the controller. The simulation and experimental results show the good performance of the proposed control system.

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Frequency-domain robust control toolbox

Cited by 25 publications

References 13 publications

Fixed-order decentralized/distributed control of islanded inverter-interfaced microgrids

Fixed-order decentralized/distributed control of islanded inverter-interfaced microgrids

High performance control of a Corner Cube Reflector by a frequency-domain data-driven robust control method

H∞ gain-scheduled controller design for rejection of time-varying narrow-band disturbances applied to a benchmark problem

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