Abstract
Utilizing linear matrix inequalities (LMI) framework, in this paper a robust control model for multi-input–output DC/DC converter is presented based on its analytical study. This converter is composed of two conventional converters, buck-boost and boost, which can supply the load when one of the inputs fails to do so. Employing the LMI method makes it possible to modelize the nonlinearities and uncertainties as a convex polytope. So, by considering LMI constraints, a certain rejection level of noise and an area for pole location are guaranteed robustly. Utilizing this method along with standard optimization algorithms can set the multi objective robust controller automatically. The simulation results are derived by MATLAB for a low efficiency implementable state-feedback and are compared with a conventional PID controller.
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