The Multi-Parametric Toolbox (MPT) is a free Matlab toolbox for design, analysis and deployment of optimal controllers for constrained linear, nonlinear and hybrid systems. Efficiency of the code is guaranteed by the extensive library of algorithms from the field of computational geometry and multi-parametric optimization. The toolbox offers a broad spectrum of algorithms compiled in a user friendly and accessible format: starting from different performance objectives (linear, quadratic, minimum time) to the handling of systems with persistent additive and polytopic uncertainties. Users can add custom constraints, such as polytopic, contraction, or collision avoidance constraints, or create custom objective functions. Resulting optimal control laws can either be embedded into your applications in a form of a C code, or deployed to target platforms using Real Time Workshop.

References in zbMATH (referenced in 87 articles , 1 standard article )

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  1. Habibi, Jalal; Moshiri, Behzad; Sedigh, Ali Khaki; Morari, Manfred: Low-complexity control of hybrid systems using approximate multi-parametric MILP (2016)
  2. Nguyen, Ngoc Anh; Olaru, Sorin; Rodríguez-Ayerbe, Pedro; Bitsoris, George; Hovd, Morten: Explicit robustness and fragility margins for linear discrete systems with piecewise affine control law (2016)
  3. Scott, Joseph K.; Raimondo, Davide M.; Marseglia, Giuseppe Roberto; Braatz, Richard D.: Constrained zonotopes: a new tool for set-based estimation and fault detection (2016)
  4. Seyboth, Georg S.; Ren, Wei; Allgöwer, Frank: Cooperative control of linear multi-agent systems via distributed output regulation and transient synchronization (2016)
  5. Xu, Jun; van den Boom, Ton J.J.; De Schutter, Bart; Wang, Shuning: Irredundant lattice representations of continuous piecewise affine functions (2016)
  6. Zhang, Lixian; Zhuang, Songlin; Braatz, Richard D.: Switched model predictive control of switched linear systems: feasibility, stability and robustness (2016)
  7. Abate, Alessandro; Soudjani, Sadegh Esmaeil Zadeh: Quantitative approximation of the probability distribution of a Markov process by formal abstractions (2015)
  8. Franzè, Giuseppe; Lucia, Walter: The obstacle avoidance motion planning problem for autonomous vehicles: a low-demanding receding horizon control scheme (2015)
  9. Giselsson, Pontus; Boyd, Stephen: Metric selection in fast dual forward-backward splitting (2015)
  10. Gulan, Martin; Nguyen, Ngoc Anh; Olaru, Sorin; Rodriguez-Ayerbe, Pedro; Rohal’-Ilkiv, Boris: Implications of inverse parametric optimization in model predictive control (2015)
  11. Herceg, Martin; Jones, Colin N.; Kvasnica, Michal; Morari, Manfred: Enumeration-based approach to solving parametric linear complementarity problems (2015)
  12. Li, Tong; Oka, Tatsushi: Set identification of the censored quantile regression model for short panels with fixed effects (2015)
  13. Necoara, Ion; Ferranti, Laura; Keviczky, Tamás: An adaptive constraint tightening approach to linear model predictive control based on approximation algorithms for optimization (2015)
  14. Nguyen, Ngoc Anh; Olaru, Sorin; Rodriguez-Ayerbe, Pedro; Hovd, Morten; Necoara, Ion: Fully inverse parametric linear/quadratic programming problems via convex liftings (2015)
  15. Pastravanu, Octavian; Matcovschi, Mihaela-Hanako: Sufficient conditions for Schur and Hurwitz diagonal stability of complex interval matrices (2015)
  16. Quaeghebeur, Erik: Characterizing coherence, correcting incoherence (2015)
  17. Shekhar, Rohan C.; Manzie, Chris: Optimal move blocking strategies for model predictive control (2015)
  18. Stolze, Peter; Karamanakos, Petros; Kennel, Ralph; Manias, Stefanos; Endisch, Christian: Effective variable switching point predictive current control for ac low-voltage drives (2015)
  19. Ariño, Carlos; Pérez, Emilio; Sala, Antonio; Bedate, Fernando: Polytopic invariant and contractive sets for closed-loop discrete fuzzy systems (2014)
  20. Axehill, Daniel; Besselmann, Thomas; Raimondo, Davide Martino; Morari, Manfred: A parametric branch and bound approach to suboptimal explicit hybrid MPC (2014)

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