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 96 articles , 1 standard article )

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  1. Al Khatib, Mohammad; Girard, Antoine; Dang, Thao: Stability verification and timing contract synthesis for linear impulsive systems using reachability analysis (2017)
  2. Borrelli, Francesco; Bemporad, Alberto; Morari, Manfred: Predictive control for linear and hybrid systems (2017)
  3. Dreossi, Tommaso; Dang, Thao; Piazza, Carla: Reachability computation for polynomial dynamical systems (2017)
  4. Hofmann, Andreas G.; Williams, Brian C.: Temporally and spatially flexible plan execution for dynamic hybrid systems (2017)
  5. Adelgren, Nathan; Wiecek, Margaret M.: A two-phase algorithm for the multiparametric linear complementarity problem (2016)
  6. Habibi, Jalal; Moshiri, Behzad; Sedigh, Ali Khaki; Morari, Manfred: Low-complexity control of hybrid systems using approximate multi-parametric MILP (2016)
  7. 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)
  8. 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)
  9. Seyboth, Georg S.; Ren, Wei; Allgöwer, Frank: Cooperative control of linear multi-agent systems via distributed output regulation and transient synchronization (2016)
  10. Xu, Jun; van den Boom, Ton J.J.; De Schutter, Bart; Wang, Shuning: Irredundant lattice representations of continuous piecewise affine functions (2016)
  11. Zhang, Lixian; Zhuang, Songlin; Braatz, Richard D.: Switched model predictive control of switched linear systems: feasibility, stability and robustness (2016)
  12. Abate, Alessandro; Soudjani, Sadegh Esmaeil Zadeh: Quantitative approximation of the probability distribution of a Markov process by formal abstractions (2015)
  13. Franzè, Giuseppe; Lucia, Walter: The obstacle avoidance motion planning problem for autonomous vehicles: a low-demanding receding horizon control scheme (2015)
  14. Giselsson, Pontus; Boyd, Stephen: Metric selection in fast dual forward-backward splitting (2015)
  15. Gulan, Martin; Nguyen, Ngoc Anh; Olaru, Sorin; Rodriguez-Ayerbe, Pedro; Rohal’-Ilkiv, Boris: Implications of inverse parametric optimization in model predictive control (2015)
  16. Herceg, Martin; Jones, Colin N.; Kvasnica, Michal; Morari, Manfred: Enumeration-based approach to solving parametric linear complementarity problems (2015)
  17. Li, Tong; Oka, Tatsushi: Set identification of the censored quantile regression model for short panels with fixed effects (2015)
  18. Necoara, Ion; Ferranti, Laura; Keviczky, Tamás: An adaptive constraint tightening approach to linear model predictive control based on approximation algorithms for optimization (2015)
  19. Nguyen, Ngoc Anh; Olaru, Sorin; Rodriguez-Ayerbe, Pedro; Hovd, Morten; Necoara, Ion: Fully inverse parametric linear/quadratic programming problems via convex liftings (2015)
  20. Pastravanu, Octavian; Matcovschi, Mihaela-Hanako: Sufficient conditions for Schur and Hurwitz diagonal stability of complex interval matrices (2015)

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