Nonsmooth multi-objective synthesis with applications

Nonsmooth optimization is used to design feedback controllers subject to closed-loop performance specifications both in time and frequency-domains. In time domain the nonlinear plant is submitted to a set of test input signals and the closed-loop responses so generated are called scenarios. A design technique is proposed which computes a controller with a prescribed structure that satisfies performance specifications for a given set of scenarios in tandem with robustness constraints in the frequency-domain, and is locally optimal among other controllers with these properties.