2022/08/26 by Mario E. Villanueva, Matthias A. Müller, Villanueva, Mario E. +3 · 4 citations
Engineering · Materials Science · #Adaptive Control of Nonlinear Systems #Advanced Control Systems Optimization #FOS: Mathematics #Mesoporous Materials and Catalysis #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.2208.12554
openalex publication_date 2022/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper is about robust Model Predictive Control (MPC) for linear systems with additive and multiplicative uncertainty. A novel class of configuration-constrained polytopic robust forward invariant tubes is introduced, which admit a joint parameterization of their facets and vertices. They are the foundation for the development of novel Configuration-Constrained Tube MPC (CCTMPC) controllers that freely optimize the shape of their polytopic tube, subject to conic vertex configuration constraints, as well as associated vertex control laws by solving convex optimization problems online. It is shown that CCTMPC is -- under appropriate assumptions -- systematically less conservative than Rigid- and Homothetic- Tube MPC. Additionally, it is proven that there exist control systems for which CCTMPC is less conservative than Elastic Tube MPC, Disturbance Affine Feedback MPC, and Fully Parameterized Tube MPC.