An elementary state-space approach to the H2 optimal control problem

2008 ◽  
Author(s):  
Yiping Cheng
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
State Space ◽  
State Space Approach ◽  
Elementary State ◽  
Space Approach

State-Space Approach to LQG Multivariable Predictive and Feedforward Optimal Control

1994 ◽  
Vol 116 (4) ◽  
pp. 610-617 ◽  
Author(s):  
M. J. Grimble
Keyword(s):  
Optimal Control ◽  
State Space ◽  
Degrees Of Freedom ◽  
Feedforward Control ◽  
State Equation ◽  
Space System ◽  
State Space Approach ◽  
State Space System ◽  
Lqg Optimal Control ◽  
Space Approach

Two extensions of the LQG optimal control problem are presented which enable prediction and feedforward action to be introduced in a state equation framework. Predictive control is first considered using a discrete-time state-space system model. Future reference values are assumed to be known p-steps ahead and the controller has a two-degrees of freedom structure. The mechanism for introducing feedforward control and hence providing a third degree of freedom is also considered. Both prediction and feedforward action are simple to design and implement using the proposed state-space approach.

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