The RTAC nonlinear control design benchmark problem is addressed using a multi-objective control methodology based on linear matrix inequalities and robust control. The approach hinges on the search for a common quadratic Lyapunov function ensuring various specifications (stability, L-gain, command input and output peak bounds) for the closed-loop system. The resulting output-feedback controller is measurement-scheduled; precisely, its state-space matrices depend on the measurement vector, in a nonlinear fashion. We evaluate the performance of our design with various simulations and predicted trade-off curves.

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