Optimal Linear Feedback Control for a Class of Nonlinear Nonquadratic Non-Gaussian Problems

[+] Author and Article Information
R. J. Chang

Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 70101

J. Dyn. Sys., Meas., Control 113(4), 568-574 (Dec 01, 1991) (7 pages) doi:10.1115/1.2896459 History: Received September 23, 1988; Revised January 01, 1991; Online March 17, 2008


An optimal linear feedback controller designed for a class of nonlinear stochastic systems with nonquadratic performance criteria by a non-Gaussian approach is presented. The non-Gaussian method is developed through expressing the unknown stationary output density function as a weighted sum of the Gaussian densities with undetermined parameters. With the aid of a Gaussian-sum density, the optimal feedback gain for a control system with complete state information is derived. By assuming that the separation principle is valid for the class of stochastic systems, a nonlinear precomputed-gain filter is then implemented. The method is illustrated by a Duffing-type control system and the performance of a linear feedback controller designed through both quadratic and nonquadratic performance indices is compared.

Copyright © 1991 by The American Society of Mechanical Engineers
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