Discretization of Linear Fractional Representations of LPV systems
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Cites methods from "Discretization of Linear Fractional..."
...Implementation Complexity For implementation, the LPV controllers are discretized using the Tustin approximation [17] and a sampling time of Ts = 1 ms....
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Cites background from "Discretization of Linear Fractional..."
...This is a great advantage over existing approaches using a continuous-domain control design followed by discretization-based implementation, which can harm or even destabilize the originally designed controller [12] (cf....
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...To make things worse, discretization can harm or even destabilize the controller designed in the continuoustime domain [12] (cf....
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11 citations
Cites background from "Discretization of Linear Fractional..."
...…matrices (A,B,C,D) are rational functions of measurable time-varying signals contained by the vector p(t) ∈ P ⊆ R np and called the scheduling variables, where P = {p ∈ R np | p i ≤ pi ≤ pi, ∀i ∈ {1, · · · , np}}, is the so-called “scheduling space” (Tóth et al., 2012) which is a compact set....
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...In the LPV framework, the system matrices (A,B,C,D) are rational functions of measurable time-varying signals contained by the vector p(t) ∈ P ⊆ R np and called the scheduling variables, where P = {p ∈ R np | p i ≤ pi ≤ pi, ∀i ∈ {1, · · · , np}}, is the so-called “scheduling space” (Tóth et al., 2012) which is a compact set....
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References
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33,785 citations
"Discretization of Linear Fractional..." refers methods in this paper
...Full zero-order hold approaches A commonly used approach, like in [4], [5], is to apply ZOHs and sampling on all signals of (1a-b) (see Figure 1b)....
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...Basically the available methods use Zero-Order Hold (ZOH) and First-Order Hold (1OH) approaches to restrict the variations of the signals of the LFR in the sample interval which results in a DT description of the dynamics [4], [5], [6], [7], [8], [9], [10], [11]....
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6,945 citations
"Discretization of Linear Fractional..." refers background in this paper
..., [3])...
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...The main reason is that stability and performance requirements can be more conveniently expressed in CT, like in a mixed sensitivity setting [3]....
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..., [1]–[3]), often require LPV models in a linear fractional representation (LFR), as depicted in Fig....
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4,202 citations
"Discretization of Linear Fractional..." refers methods in this paper
...In Section VI a numerical example is given for the comparison of the approaches....
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4,045 citations