In this paper, I propose a method to syn-thesize a static state feedback gain matrix to minimize the system H infinity norm using linear matrix inequality (LMI) approach. To illustrate the result, an example using the dynamics of a double integrator is used. The final result shows that the solution achieved by LMI approach is the same as solution done manually. Furthermore, the LMI approach opens a direction to promote the sparsity structure of the feedback gain matrix.
This research was supported by the Undergraduate Research Opportunities Program (UROP).
Synthesizing the Static Feedback Gain Matrix to Minimize the System H Infinity Norm Using Linear Matrix Inequality Approach.
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