# Questions tagged [model-predictive-control]

Model Predictive Control (MPC) is a process control method considering the system model and its predicted future optimization while respecting the defined constraints.

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### Use probability theory to estimate the successors of an event out of a countable finite sample space?

Scenario: There exists to two façades in a system: façade zero, and façade one. When façade zero builds a LinearDataStructure, that object contains elements of ...
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### Control that stabilizes an uknown unstable equilibrium point?

Give a non-linear ( if it helps, multi-linear ) system for the variable with $\mathbf{Z} = [\mathbf X_1, \ldots, \mathbf{X_n} ]^T$: $$\dot{\mathbf{Z}} = F ( \mathbf{Z}, \mathbf{u} )$$ and an unknown ...
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### Can linear programing be used in Model Predictive Control?

I'm trying to implement Model Predictive Control onto a small micro controller. I know that is not "possible", but I want to minimize the "unnecessary" tools that are avaiable inside "regular" Model ...
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### Model prediction gives stochastic inputs - Predictive Control

I have a discrete state space model: $$x(k+1) = Ax(k) + Bu(k)$$ $$y(k) = Cx(k)$$ And I'm trying to compute the predicted inputs. The first thing I do is that I fist create the extended observability ...
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### Model Predictive Control: Why the horizon size, $N$, must be equal or larger than 2?

If you read "Nonlinear Model Predictive Control" by L. Grune and J. Pannek (and anywhere else), everyone says that the prediction horizon size $N$ must be larger or equal to $2$,$N\geq2$. Why?
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### Difference between Model Predictive Control and Rolling Horizon Optimization

Lately I've been reading numerous papers regarding Energy Hub optimization, and often the authors talk about rolling horizon optimization for taking into account uncertainty. For instance: "A ...
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### Does Model Predictive Control update the input trajectories for every iteration?

According to Model Predictive Control, it finds the best input trajectories (input signals) for the open loop control system, or MPC can also be closed loop too. My question is a open loop MPC ...
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### Does Model Predictive Control required to store the past input values?

I have five questions about Model Predictive Control. LQR control has a control law which is static for all time. As I get it, MPC has a LQR control law, which changes over time, depending on a cost ...
Consider a linear time variant system $x(k+1) = A(k)x(k)+B(k)u(k) \\ y(k) = Cx(k)$ where $[A(k), B(k)]\in\Omega$ $\Omega$ is a polytope $\Omega = \text{Co}([A_1, B_1 ] [A_2, B_2]... [A_L, B_L])$ ...