Input‐to‐state stabilizing sub‐optimal NMPC with an application to DC–DC converters

Lazăr, Mircea; Heemels, W.P.M.H.; Roset, Bjp Bas; Nijmeijer, H.; Bosch, van den Ppj Paul

doi:10.1002/rnc.1249

Cited by 56 publications

(35 citation statements)

References 8 publications

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“…Due to the Lyapunov constraint (5f), feasibility of P τ N (x) implies input-to-state stability, which allows us to state the main result of this section and prove ISS of the closed-loop system under the robust τ -RT control law κ τ (x) in (6). Note that in the considered case stability cannot be achieved by the approach described in Lazar, Roset, Heemels, Nijmeijer, and van den Bosch (2008), where a constraint on the Lyapunov decrease is only introduced in the first step, since the solutions are not recursively feasible.…”

Section: Lemma 46 (Feasibility Of the Warm-start) Letūmentioning

confidence: 99%

On real-time robust model predictive control

et al. 2014

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Section: Lemma 46 (Feasibility Of the Warm-start) Letūmentioning

confidence: 99%

On real-time robust model predictive control

et al. 2014

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“…As mentioned previously, this is the crucial item in order to prove stability of the proposed real-time MPC method. Note that in the considered case stability can therefore not be achieved by the approach described in [13], where a constraint on the Lyapunov decrease in the first step is introduced, since the solutions are not recursively feasible. In this section the results for the nominal case are extended to the uncertain case using a robust MPC method.…”

Section: Real-time Robust Mpcmentioning

confidence: 99%

Real-time MPC - Stability through robust MPC design

Zeilinger

Jones

Raimondo

et al. 2009

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) Held Jointly With 2009 28th Chinese Control Conference

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Abstract-Recent results have suggested that online ModelPredictive Control (MPC) can be computed quickly enough to control fast sampled systems. High-speed applications impose a hard real-time constraint on the solution of the MPC problem, which generally prevents the computation of the optimal controller. In current approaches guarantees on feasibility and stability are sacrificed in order to achieve a real-time setting. In this paper we develop a real-time MPC scheme based on robust MPC design that recovers these guarantees while allowing for extremely fast computation. We show that a simple warmstart optimization procedure providing an enhanced feasible solution guarantees feasibility and stability for arbitrary time constraints. The proposed method can be practically implemented and efficiently solved for dynamic systems of significant problem size. Implementation details for a real-time robust MPC method are provided that achieves computation times equal to those reported for methods without guarantees. A 12-dimensional problem with 3 control inputs and a prediction horizon of 10 time steps is solved in 2msec with a performance deterioration less than 1% and thereby allows for sampling rates of 500Hz.

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“…This situation has attracted the attention of the control theory community approaching the problem from several perspectives, e.g. [8][9][10]. However, these solutions are concentrated only on the high-performance objective without considering the reduction of the switching frequency.…”

Section: Introductionmentioning

confidence: 97%

Passivity‐based control of multilevel cascade inverters: High‐performance with reduced switching frequency

Noriega-Pineda

Espinosa-Pérez

Cárdenas

et al. 2009

Intl J Robust & Nonlinear

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SUMMARYThis paper approaches the control problem of (buck-type) single-phase multilevel cascade inverters. The main pursued objective is the generation of an output voltage waveform with very low harmonic distortion under reduced switching frequency operation. For developing the proposed controller a pulsewidth modulation-based design is first considered, in order to obtain a continuous time control law, to later on, using quantization arguments, modify it to achieve the reduced switching frequency. Owing to its proved capacity for generating high-performance circuit responses, in the high-frequency step design a passivity-based approach is followed while for the low-frequency one a hysteresis-type scheme is introduced. The usefulness of the scheme is validated via numerical simulations comparing the proposed scheme with a classical PWM-based design.

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Input‐to‐state stabilizing sub‐optimal NMPC with an application to DC–DC converters

Cited by 56 publications

References 8 publications

On real-time robust model predictive control

On real-time robust model predictive control

Real-time MPC - Stability through robust MPC design

Passivity‐based control of multilevel cascade inverters: High‐performance with reduced switching frequency

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