Practical output regulation for bounded linear infinite-dimensional state space systems

Automatica ◽  
2007 ◽  
Vol 43 (5) ◽  
pp. 786-794 ◽  
Author(s):  
Eero Immonen
Keyword(s):  
State Space ◽  
Output Regulation ◽  
Space Systems ◽  
Bounded Linear ◽  
Infinite Dimensional ◽  
Dimensional State Space ◽  
State Space Systems

A new method for proving the separation principle for the infinite-dimensional LQG regulator problem

2018 ◽  
Vol 36 (3) ◽  
pp. 835-848
Author(s):  
Mahyar Mahinzaeim
Keyword(s):  
State Space ◽  
New Method ◽  
Separation Principle ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
Infinite Dimensional ◽  
Regulator Problem ◽  
Dimensional State Space ◽  
Standard Linear ◽  
State Space Systems

Abstract This paper gives an alternative perspective on the standard linear quadratic Gaussian regulator problem for infinite-dimensional state-space systems. We will show that when considered on an extended Hilbert state-space, the originally stochastic control problem can be phrased as a deterministic one. In this setting we obtain a new method of proof for the well-known separation principle which does not involve probabilistic considerations.

Sign in / Sign up

Export Citation Format

Share Document