Symbolic-numeric hybrid optimization for plant/controller integrated design in H∞ loop-shaping design

This paper proposes a plant/controller design integration method for H1 loop-shaping design based on symbolic-numeric hybrid optimization. This approach rstly employs parametric polynomial spectral factorization to accomplish parametric optimization and derive an expression for the optimal cost. Owing to the obtained expression, sensitivity analysis of the achievable per- formance level with respect to plant parameters is amenable, which allows numerical optimization methods to seek the optimal set of parameter values.

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