Robust Constraint Satisfaction: Invariant Sets and Predictive Control

By Eric C. Kerrigan. 2000

478 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/0bc6f8cc0b1d540339f51a4a09538a5e3d2c4b66

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Citations in the corpus

Reference and command governors for systems with constraints: A survey on theory and applications (2017, background): “Note that the idea of pre-stabilizing a system and then using the boundedness and convergence of the resulting sequence Ŷk to deal with bounded disturbances, first introduced for RG in [144], has subsequently become popular also in the so-called tube-MPC (see [138, 202] and references therein).”
Robust constrained model predictive control (2005, methodology): “Since the vertices of g are known, the vertices of the Minkowski sum can be easily found as the sum of all cominbations of vertices of the individual sets [31].”
Predictive Control for Linear and Hybrid Systems (2017, methodology): “5 for computing robust invariant sets (and their finite termination) see [10, 49, 172, 124, 164].”
On the Performance Degradation of Cyber-Physical Systems Under Stealthy Integrity Attacks (2016, background): “Proof: The proof of the first three properties can be found in [16], while the proof of the last property is quite technical and is reported in the Appendix to improve legibility.”
Analysis of event-driven controllers for linear systems (2008, methodology): “It is shown in Kolmanovsky and Gilbert (1998) that the mRPI set F1 of the system (15) with disturbances inWd is bounded in case AþBF is Schur andWd is a bounded set.”
Constrained Optimal Control of Linear and Hybrid Systems (2003, background): “The computation of invariant sets for hybrid systems has been investigated in [97], and is a subject of current research in the hybrid systems community.”
NMPC without terminal constraints (2012, methodology): “In order to make this statement precise, we look at the dependence of the sets XN on N , following [Kerrigan, 2000, Theorem 5.3] and [Grüne and Pannek, 2011, Section 8.2] (the latter references essentially rephrases the results from the earlier one using a different notation, a fact which…”
Using Nonlinear Model Predictive Control for Dynamic Decision Problems in Economics (2015, background): “McKenzie (1986), for sufficiently long finite horizons, NMPC yields approximately infinite horizon optimal trajectories.”