Problem Description and Design Method.pdf

Searching for Robust Qian Wang Minimal-Order Compensators Graduate Student e-mail: wangqian@phoenix.princeton.edu A method of designing a family of robust compensators for a single-input/single-output Robert F. Stengel linear system is presented. Each compensator’s transfer function is found by using a Professor genetic-algorithm search for numerator and denominator coefficients. The search mini- mizes the probabilities of unsatisfactory stability and performance subject to real param- e-mail: stengel@princeton.edu eter variations of the plant. As the search progresses, probabilities are estimated by Monte Carlo evaluation. The design procedure employs a sweep from the lowest feasible Department of Mechanical transfer-function order to higher order, terminating either when design goals have been and Aerospace Engineering, achieved or when no further improvement in robustness is evident. The method provides Princeton University, a means for estimating the best possible compensation of a given order based on repeated Princeton, NJ 08544 searches. DOI: 10.1115/1.1367270 Keywords: Stochastic Robustness, Monte Carlo Evaluation, Genetic Algorithm,