1. A linear time-invariant representation: For a system with discrete-time system is given by the following state-space x(k+1)= Fx(k)+Gu(k) 1 F = P-L-'; 1)-G-H- Describe with a block diagram and equations, but without deriving an expression for the controller gain, how a controller to track some desired state trajectory can be designed.

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1. A linear time-invariant
representation:
For a system with
discrete-time system is given by the following state-space
x(k+1)= Fx(k)+ Gu(k)
2
F =
- [ 1₁₁ 1₁6=[]·
G
-3
Describe with a block diagram and equations, but without deriving an expression for
the controller gain, how a controller to track some desired state trajectory can be
designed.
Transcribed Image Text:1. A linear time-invariant representation: For a system with discrete-time system is given by the following state-space x(k+1)= Fx(k)+ Gu(k) 2 F = - [ 1₁₁ 1₁6=[]· G -3 Describe with a block diagram and equations, but without deriving an expression for the controller gain, how a controller to track some desired state trajectory can be designed.
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