On Output-Stabilizability and Detectability of Discrete-Time LQ-Optimal Control Systems

1997 ◽  
pp. 45-55 ◽  
Author(s):  
Frank M. Callier
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Discrete Time ◽  
Lq Optimal Control

scholarly journals The role of terminal cost/reward in finite-horizon discrete-time LQ optimal control

2007 ◽  
Vol 425 (2-3) ◽  
pp. 323-344 ◽  
Author(s):  
Gianfranco Bilardi ◽  
Augusto Ferrante
Keyword(s):  
Optimal Control ◽  
Discrete Time ◽  
Finite Horizon ◽  
Lq Optimal Control

scholarly journals Finite-Horizon Optimal Control of Discrete-Time Switched Linear Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Qixin Zhu ◽  
Guangming Xie
Keyword(s):  
Optimal Control ◽  
Control Systems ◽  
Discrete Time ◽  
Finite Horizon ◽  
Linear Control ◽  
Linear Control Systems ◽  
Control Input ◽  
Optimal Switching ◽  
Control Laws ◽  
Control Factors

Finite-horizon optimal control problems for discrete-time switched linear control systems are investigated in this paper. Two kinds of quadratic cost functions are considered. The weight matrices are different. One is subsystem dependent; the other is time dependent. For a switched linear control system, not only the control input but also the switching signals are control factors and are needed to be designed in order to minimize cost function. As a result, optimal design for switched linear control systems is more complicated than that of non-switched ones. By using the principle of dynamic programming, the optimal control laws including both the optimal switching signal and the optimal control inputs are obtained for the two problems. Two examples are given to verify the theory results in this paper.

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