In this paper, a supervisory based switching strategy is employed to solve the H2/H∞ multi objective controller design. Using linear matrix inequalities, two distinict controllers are designed to meet the H2 and H∞ performance specifications. A state realization for each controller transfer matrix is found such that the asymptotical stability of the closed-loop switching system is guaranteed for any switching sequence. A supervisor is used to diagnose the exogenous input changes and switch to the relevant controller. Simulation results show that switching strategy improves the performance of the controller and reduces the conservation in comparison with the common H2/H∞ controller

Keywords: Linear Matrix inequality, Realization Theory, Stability Theory, Supervisor, Switching H2/H∞ control

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