Robust \(H_{\infty }\) Controller Design for Satellite Systems with Uncertain Inertia Matrix: A Linear Matrix Inequality Approach

This paper discusses the design of a robust \(H_{\infty }\) controller for satellite systems that exhibit changes in its inertia matrix within a range of ±5%. Using MATLAB Simulink, the proposed approach is a Linear Matrix Inequality (LMI) by LMILAB Semidefinite programming solver in YALMIP. Simulation results demonstrate the controller’s effectiveness in stabilizing the system against disturbance and maintaining performance despite variations in the inertia matrix.