The internal model principle for linear multivariable regulators

By Bruce A. Francis, W. Wonham. 1975

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Citations in the corpus

Graying the black box: Understanding DQNs (2016, background): “els of convergence guarantees can be promised (Dean and Lin, 1995; Parr, 1998; Hauskrecht et al., 1998; Dietterich, 2000). Our main observation in this work is that DQN is learning an internal model (Francis and Wonham, 1975; Sontag, 2003) of the domain without explicitly being trained to. We discov”
Adaptation and regulation with signal detection implies internal model (2003, unknown): “Partial generalizations of their work to nonlinear systems were later obtained by Wonham and Hepburn, see [1],[15],[16],[2]-[7].”
Control theory for linear systems (2002, methodology): “The internal model principle studied by Wonham in [223] and by Francis and Wonham in [48] was only for the case that the to be regulated signal is equal to the measurement signal.”
Repetitive-based control for selective harmonic compensation in active power filters (2004, background): “We recall [9]–[11] that the concept of repetitive control theory originates from the internal model principle [10], so that the controlled output tracks a set of reference inputs without steady-state errors if the model, which generates these references, is included in the stable closed-loop system.”
Optimization of linear systems subject to bounded exogenous disturbances: The invariant ellipsoid technique (2011, background): “The concept of rejection of exogenous disturbances described by the differential or difference equations with the use of dynamic output regulator was seemingly proposed for the first time in the works by Francis and Wonham (see [71–73]) under the name “internal model principle.”
Grid-Connected Boost-Half-Bridge Photovoltaic Microinverter System Using Repetitive Current Control and Maximum Power Point Tracking (2012, background): “The modified internal model [33], which is denoted by the positive feedback loop inside the RC, plays the most critical role”
Multi-periodic repetitive control system: a Lyapunov stability analysis for MIMO systems (2004, background): “This representation takes the form of an internal model that is capable of generating the signals (Francis and Wonham 1975).”
Disturbance Observer-Based Robust Control and Its Applications: 35th Anniversary Overview (2019, methodology): “as IMC and SSV, and cancelling disturbances via feedforward control [16], [17], [19].”
Frequency Adaptive Selective Harmonic Control for Grid-Connected Inverters (2015, unknown): “However, all above IMP-based harmonic controllers, especially the ( nk ± m )-order harmonic RC based schemes, are sensitive to frequency variations, and also require a speciﬁc ﬁxed sampling rate dependent on the fundamental frequency when implemented [32], [33].”
On optimal output regulation for linear systems (2003, methodology): “This problem has been coined in the literature as the output regulation problem and has been treated by many authors among whom we mention, for instance, Davison (1972), Pearson et al. (1974), Davison and Goldenberg (1975), Francis and Wonham (1975), Francis (1977) and Hautus (1983).”
Control Issues in Single-Stage Photovoltaic Systems: MPPT, Current and Voltage Control (2012, background): “The steady-state error elimination can be fulfilled by using a controller which acts as a sinusoidal reference tracker [6].”
Repetitive-Based Controller for a UPS Inverter to Compensate Unbalance and Harmonic Distortion (2007, background): “All these approaches are based on the well-known internal model principle [6] which states that the controlled output can track”
Repetitive control for systems with uncertain period-time (2002, background): “The internal model principle ( Francis & Wonham, 1975 ) states that for asymptotically tracking a reference command bythe output of a closed-loop system, a realization (model) of the disturbance=reference generating system should be included in the feedback loop.”