Abstract
In this paper, an alternative approach to the computation of control invariant sets for piecewise affine systems is presented. Based on two approximation operators, two algorithms that provide outer and inner approximations of the maximal robust control invariant set are presented. These algorithms can be used to obtain a robust control invariant set for the system. An illustrative example is presented.
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Alamo, T., Fiacchini, M., Cepeda, A., Limon, D., Bravo, J.M., Camacho, E.F. (2007). On the Computation of Robust Control Invariant Sets for Piecewise Affine Systems. In: Findeisen, R., Allgöwer, F., Biegler, L.T. (eds) Assessment and Future Directions of Nonlinear Model Predictive Control. Lecture Notes in Control and Information Sciences, vol 358. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72699-9_10
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DOI: https://doi.org/10.1007/978-3-540-72699-9_10
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