A general transfer-function approach to the steady-state linear quadratic Gaussian stochastic control problem

1976 ◽  
Vol 24 (6) ◽  
pp. 771-800 ◽  
Author(s):  
U. SHAKED
Author(s):  
A. V. Balakrishnan

Abstract We present an explicit solution to a stochastic control problem generally referred to as the LQG (Linear Quadratic Gaussian) or Stochastic Regulator problem for continuum models of flexible structures with collocated rate sensors, which holds a fortiori for FEM or truncated modal models. Robustness properties accruing from the positive realness of the optimal compensator transfer function are described, and convergence of modal approximations is proved. Preliminary experimental results on the NASA LaRC SCOLE testbed are included.


2012 ◽  
Author(s):  
Krishnamoorthy Kalyanam ◽  
Swaroop Darbha ◽  
Myoungkuk Park ◽  
Meir Pachter ◽  
Phil Chandler ◽  
...  

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