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The design of microstrip antennas usually involves specifying the values of several parameters that define its geometry and material characteristics. When there is a large number of parameters, it becomes necessary to use optimization techniques in the design of the antennas in order to maximize their performance. We discuss the design of some novel broadband and multiband microstrip antennas using genetic algorithm (GA) optimization techniques. Also, a robust yet efficient optimization strategy that combines model-based parameter estimation (MBPE) with GA is introduced.