The main algorithms of the Hybrid
Toolbox are described
in detail in the following references:
- Conversion of an MLD system into a PWA
form
A. Bemporad, ``Efficient
conversion of mixed logical dynamical systems into an equivalent piecewise
affine form,'' IEEE Trans. Automatic Control, vol. 49, no. 5, pp.
832-838, 2004.
- Discrete Hybrid Automata and the HYSDEL
language:
F.D. Torrisi and A. Bemporad, ``HYSDEL
- A tool for generating computational hybrid models,'' IEEE Trans.
Contr. Systems Technology, vol. 12, no. 2, pp. 235-249, Mar. 2004.
- Multiparametric quadratic programming
algorithm:
P. Tøndel, T.A. Johansen, and A. Bemporad, ``An
algorithm for multi-parametric quadratic programming and explicit MPC
solutions,'' Automatica, vol. 39, no. 3, pp. 489-497, Mar. 2003
- MPC for constrained linear systems and
its explicit PWA computation
A. Bemporad, M. Morari, V. Dua, and E.N. Pistikopoulos, ``The
explicit linear quadratic regulator for constrained systems,''
Automatica, vol. 38, no. 1, pp. 3-20, 2002 (Corrigendum)
- Model predictive control of MLD
Systems
A. Bemporad and M. Morari, ``Control
of systems integrating logic, dynamics, and constraints,''
Automatica, vol. 35, no. 3, pp. 407-427, 1999.