Robust H2-Optimal State Feedback Synthesis[edit | edit source]
For systems with uncertain state parameters, a robust controller is needed. H2-optimal control is desirable in minimum-energy applications.
The static formulation of the system is given as follows:
Where is the state and is the input at any
, , , and are rational matrices with variance .
The state matrices are defined as:
,
The LMI:H2-Optimal State Feedback Synthesis[edit | edit source]
Suppose .
Then the following are equivalent:
1. for all .
2. for some and such that for all and
for all
The method above can be used to find an H2-optimal robust state feedback controller for a system with uncertain parameters.
This implementation requires Yalmip and Sedumi.
H2-Optimal State Feedback Synthesis
Full State Feedback Optimal H_inf LMI
LMIs in Control: https://en.wikibooks.org/wiki/LMIs_in_Control