H/sub ∞/-optimal control of singularly perturbed discrete-time systems, and risk-sensitive control

2002 ◽  
Author(s):  
D.S. Naidu ◽  
C.D. Charalambous ◽  
K.L. Moore ◽  
M.A. Abdelrahma
Keyword(s):  
Optimal Control ◽  
Discrete Time ◽  
Singularly Perturbed ◽  
Discrete Time Systems ◽  
Risk Sensitive ◽  
Risk Sensitive Control ◽  
Time Systems

LQG Control for Nonstandard Singularly Perturbed Discrete-Time Systems

2004 ◽  
Vol 126 (4) ◽  
pp. 860-864 ◽  
Author(s):  
Beom-Soo Kim ◽  
Young-Joong Kim ◽  
Myo-Taeg Lim
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Discrete Time ◽  
Singularly Perturbed ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
Reduced Order ◽  
Discrete Time Systems ◽  
Time Systems

In this paper we present a control method and a high accuracy solution technique in solving the linear quadratic Gaussian problems for nonstandard singularly perturbed discrete time systems. The methodology that exists in the literature for the solution of the standard singularly perturbed discrete time linear quadratic Gaussian optimal control problem cannot be extended to the corresponding nonstandard counterpart. The solution of the linear quadratic Gaussian optimal control problem is obtained by solving the pure-slow and pure-fast reduced-order continuous-time algebraic Riccati equations and by implementing the pure-slow and pure-fast reduced-order Kalman filters. In order to show the effectiveness of the proposed method, we present the numerical result for a one-link flexible robot arm.

scholarly journals Stabilization of strictly dissipative discrete time systems with discounted optimal control

Automatica ◽  
2018 ◽  
Vol 93 ◽  
pp. 311-320 ◽  
Author(s):  
Vladimir Gaitsgory ◽  
Lars Grüne ◽  
Matthias Höger ◽  
Christopher M. Kellett ◽  
Steven R. Weller
Keyword(s):  
Optimal Control ◽  
Discrete Time ◽  
Discrete Time Systems ◽  
Time Systems
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