MPT swMATH ID: 4732 Software Authors: M. Kvasnica; P. Grieder; M. Baoti; ETH Zürich; Borrelli, Francesco Description: 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. Homepage: http://control.ee.ethz.ch/~mpt/ Dependencies: Matlab Related Software: YALMIP; CPLEX; Matlab; Hybrid Toolbox; Gurobi; fast_mpc; cdd; Ellipsoidal Toolbox; Mosek; qpOASES; Robotics; HYSDEL; HyTech; SeDuMi; GBT; ACADO; GitHub; CVXGEN; CVX; LMI toolbox Cited in: 234 Publications Further Publications: http://control.ee.ethz.ch/index.cgi?page=publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Multi-parametric toolbox (MPT). Zbl 1135.93332Kvasnica, Michal; Grieder, Pascal; Baotić, Mato; Morari, Manfred 2004 all top 5 Cited by 487 Authors 14 Morari, Manfred 11 Olaru, Sorin 9 Kvasnica, Michal 7 Allgower, Frank 7 Bemporad, Alberto 7 Jones, Colin Neil 7 Nguyen, Ngoc Anh 7 Oishi, Meeko M. K. 6 Johansen, Tor Arne 5 Abate, Alessandro 5 Ariño, Carlos V. 5 Baotić, Mato 5 Dang, Thao 5 Heemels, W. P. Maurice H. 5 Lazar, Mircea 5 Rodriguez-Ayerbe, Pedro 5 Sala, Antonio 5 Vinod, Abraham P. 4 Borrelli, Francesco 4 Girard, Antoine 4 Hovd, Morten 4 Kolmanovsky, Ilya V. 4 Raković, Saša V. 3 Álamo, Teodoro 3 Brunner, Florian David 3 De Schutter, Bart 3 Dórea, Carlos Eduardo Trabuco 3 Fagiano, Lorenzo Mario 3 Gleason, Joseph D. 3 Grieder, Pascal 3 Hernández-Mejías, Manuel A. 3 Kaynama, Shahab 3 Kerrigan, Eric C. 3 Necoara, Ion 3 Pérez, Emilio 3 Pistikopoulos, Efstratios N. 3 Raimondo, Davide Martino 2 Afzalian, Ali A. 2 Aydin Gol, Ebru 2 Azuma, Shun-Ichi 2 Barić, Miroslav 2 Bedate, Fernando 2 Boyd, Stephen Poythress 2 Braatz, Richard D. 2 Dabbene, Fabrizio 2 Dantas, André Felipe O. de A. 2 Deshmukh, Jyotirmoy V. 2 Dreossi, Tommaso 2 Ferranti, Laura 2 Ferrari-Trecate, Giancarlo 2 Fiacchini, Mirko 2 Fikar, Miroslav 2 Franzè, Giuseppe 2 Galvão, Roberto Kawakami Harrop 2 Ghasemi, Mohammad S. 2 González, Ramón E. R. 2 Grancharova, Alexandra 2 Guzman, Jose-Luis Olivares 2 Holaza, Juraj 2 Imura, Jun’ichi 2 Johansson, Karl Henrik 2 Jungers, Raphaël M. 2 Kapinski, James 2 Keviczky, Tamás 2 Koeln, Justin P. 2 Löfberg, Johan 2 Lorenzen, Matthias 2 Lucia, Walter 2 Ma, Xiaoyan 2 Maciejowski, Jan M. 2 Manzie, Chris 2 Marseglia, Giuseppe Roberto 2 Matcovschi, Mihaela-Hanako 2 Mayne, David Q. 2 Paindaveine, Davy 2 Pastravanu, Octavian C. 2 Querol, Andrés 2 Raghuraman, Vignesh 2 Seron, Maria Marta 2 Šiman, Miroslav 2 Stursberg, Olaf 2 Tabuada, Paulo 2 Tanaskovic, Marko 2 Tkachev, Ilya 2 Tomlin, Claire J. 2 van den Boom, Ton J. J. 2 Weiland, Siep 2 Wen, Chengtao 2 Xiu, Xiaojie 2 Ydstie, B. Erik 2 Zamani, Majid 2 Zhang, Ju 1 Aaker, V. 1 Abbasi, Y. 1 Adelgren, Nathan 1 Adzkiya, Dieky 1 Afonso, Rubens Junqueira Magalhães 1 Akbari, Amir 1 Alanwar, Amr 1 Alasty, Aria ...and 387 more Authors all top 5 Cited in 52 Serials 77 Automatica 13 International Journal of Control 12 International Journal of Robust and Nonlinear Control 7 Systems & Control Letters 7 European Journal of Control 6 Nonlinear Analysis. Hybrid Systems 5 Journal of the Franklin Institute 3 IEEE Transactions on Automatic Control 3 Optimal Control Applications & Methods 3 Journal of Global Optimization 3 Linear Algebra and its Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Econometrics 2 SIAM Journal on Control and Optimization 2 Discrete Event Dynamic Systems 2 Journal of Control Science and Engineering 1 Acta Informatica 1 Artificial Intelligence 1 International Journal of Systems Science 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Fuzzy Sets and Systems 1 Information Sciences 1 Journal of Multivariate Analysis 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Acta Automatica Sinica 1 Optimization 1 Information and Computation 1 Computers & Operations Research 1 International Journal of Approximate Reasoning 1 Formal Aspects of Computing 1 Real-Time Systems 1 Computational Statistics 1 Automation and Remote Control 1 European Journal of Operational Research 1 Pattern Recognition 1 SIAM Journal on Optimization 1 Formal Methods in System Design 1 Constraints 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 International Journal of Applied Mathematics and Computer Science 1 CEJOR. Central European Journal of Operations Research 1 Optimization and Engineering 1 JMMA. Journal of Mathematical Modelling and Algorithms 1 Advances in Difference Equations 1 Lecture Notes in Control and Information Sciences 1 Systems & Control: Foundations & Applications 1 Logical Methods in Computer Science 1 Mathematical Programming Computation 1 International Journal of Systems Science. Principles and Applications of Systems and Integration all top 5 Cited in 21 Fields 181 Systems theory; control (93-XX) 62 Operations research, mathematical programming (90-XX) 33 Computer science (68-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 15 Numerical analysis (65-XX) 6 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 6 Biology and other natural sciences (92-XX) 5 Mathematical logic and foundations (03-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 3 Quantum theory (81-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 (04-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year