TY  - CHAP
Y1  - 2002///
AV  - none
TI  - On the optimal control law for linear discrete time hybrid systems
UR  - http://dx.doi.org/10.1007/3-540-45873-5_11
PB  - Springer-Verlag
SN  - 978-3-540-43321-7
A1  - Bemporad, Alberto
A1  - Borrelli, Francesco
A1  - Morari, Manfred
M1  - 2289
N2  - In this paper we study the solution to optimal control problems for discrete time linear hybrid systems. First, we prove that the closed form of the state-feedback solution to finite time optimal control based on quadratic or linear norms performance criteria is a time-varying piecewise afine feedback control law. Then, we give an insight into the structure of the optimal state-feedback solution and of the value function. Finally, we briefly describe how the optimal control law can be computed by means of multiparametric programming. 
SP  - 105
ID  - eprints524
T2  - Hybrid Systems: Computation and Control
EP  - 119
ER  -