document: Robust control of nonlinear systems with parametric uncertainty Probabilistic robustness analysis and synthesis for nonlinear systems with uncertain parameters are presented . Monte Carlo simulation is used to estimate the likelihood of system instability and violation of performance requirements subject to variations of the probabilistic system parameters . Stochastic robust control synthesis searches the controller design parameter space to minimize a cost that is a function of the probabilities that design criteria will not be satisfied . The robust control design approach is illustrated by a simple nonlinear example . A modified feedback linearization control is chosen as controller structure , and the design parameters are searched by a genetic algorithm to achieve the tradeoff between stability and performance robustness
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