Optimal control of constrained piecewise affine systems with state- and input-dependent disturbances
Rakovic S. V. and Kerrigan E. C. and Mayne D. Q.
Proc. 16th International Symposium on Mathematical Theory of Networks and Systems, July 2004Abstract
Finite horizon optimal control of piecewise affine systems with a piecewise affine (1-norm
or infinity-norm) stage cost and terminal cost is considered. Provided the respective constraint
sets are given as the unions of polyhedra, it is shown that the partial value functions and
partial optimal control laws are piecewise affine on a polyhedral cover of the set of states that
can be steered, by an admissible control policy, to a terminal set of states in a finite number
of steps. Existing results only consider the case of systems without disturbances, or systems
with disturbances that are independent of the state and input. This paper extends these
results to the case where the disturbance is dependent on the state and input.
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BibTex Entry
- @InProceedings{rakovic:kerrigan:mayne:2004,
- author = {Rakovic S. V. and Kerrigan E. C. and Mayne D. Q.},
- title = {Optimal control of constrained piecewise affine systems with state- and input-dependent disturbances},
- address = {Katholieke Universiteit Leuven, Belgium},
- booktitle = {Proc. 16th International Symposium on Mathematical Theory of Networks and Systems},
- bibkey = {rakovic:kerrigan:mayne:2004},
- month = {July},
- year = {2004}
- }
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