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This simulation file demonstrates a variant of Robust Tube MPC in which the initial nominal state is a decision variable. Theoretical background can be found at "Mayne, David Q., María M. Seron, and S. V. Raković. "Robust model predictive control of constrained linear systems with bounded disturbances." Automatica 41.2 (2005): 219-224."

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The simulation file requires MATLAB optimization toolbox for MPC computation and MPT3 toolbox for set operations. Theoretical background can be found at: For Tube MPC: Mayne, David Q., María M. Seron, and S. V. Raković. "Robust model predictive control of constrained linear systems with bounded disturbances." Automatica 41.2 (2005): 219-224.

For Outer approximation of Robust Positively Invariant set: Rakovic, Sasa V., et al. "Invariant approximations of the minimal robust positively invariant set." IEEE Transactions on automatic control 50.3 (2005): 406-410.

Some code parts are adopted from other repositories.

If you find the simulation useful, please cite the above papers.

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This simulation file demonstrates a variant of Robust Tube MPC in which the initial nominal state is a decision variable. Theoretical background can be found at "Mayne, David Q., María M. Seron, and S. V. Raković. "Robust model predictive control of constrained linear systems with bounded disturbances." Automatica 41.2 (2005): 219-224."

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