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docs/src/manual/linmpc.md

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@@ -182,15 +182,15 @@ savefig(ans, "plot2_LinMPC.svg"); nothing # hide
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The [`SteadyKalmanFilter`](@ref) is a simple observer but it is not able to handle
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constraints at estimation. The [`MovingHorizonEstimator`](@ref) (MHE) can improve the
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accuracy of the state estimate ``\mathbf{x̂}``. It solves a quadratic optimization problem
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under a past time window ``\mathbf{H_e}``, and bounds on the estimated plant state
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``\mathbf{}``, estimated process noise ``\mathbf{}`` and estimated sensor noise
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``\mathbf{v̂}`` can be included in the problem. This can be useful to include physical
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knowledge in the soft sensor, without adding new physical sensors (e.g. a strictly positive
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concentration). The closed-loop performance of a predictive controller depends on the
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accuracy of the plant state estimate.
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For the CSTR, we will bound the innovation term ``\mathbf{\mathbf{y}(k)-\mathbf{ŷ}(k)}``,
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and increase ``\mathbf{Q}_{int_u}`` to accelerate the estimation of the load
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under a past time window ``H_e``. Bounds on the estimated plant state ``\mathbf{x̂}``,
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estimated process noise ``\mathbf{}`` and estimated sensor noise ``\mathbf{}`` can be
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included in the problem. This can be useful to add physical knowledge in the soft sensor,
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without adding new physical sensors (e.g. a strictly positive concentration). The
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closed-loop performance of a predictive controller depends on the accuracy of the plant
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state estimate.
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For the CSTR, we will bound the innovation term ``\mathbf{\mathbf{y}(k) - \mathbf{ŷ}(k)} =
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\mathbf{v̂}``, and increase ``\mathbf{Q}_{int_u}`` to accelerate the estimation of the load
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disturbance. The rejection is slightly faster:
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```@example 1

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