Affiliation:
1. Department of Mechanical Engineering, University of Delaware, Newark, DE 19716
Abstract
This paper presents a method for designing covariance type controls of nonlinear stochastic systems. The method consists of two steps. The first step is to find a class of nonlinear feedback controls with undetermined gains such that the exact stationary PDF of the response is obtainable. The second step is to select the control gains in the context of the covariance control method by minimizing a performance index. The exact PDF makes the solution process of optimization very efficient, and the evaluation of expectations of nonlinear functions of the response very accurate. The theoretical results of various orders of response moments by the present method have been compared with Monte Carlo simulations. Special cases are studied when the approximate methods based on the maximum entropy principle or other closure schemes leads less accurate response estimates, while the present method still works fine.
Reference15 articles.
1. Iwasaki, T., and Skelton, R. E., 1994, “On the Observer-Based Structure of Covariance Controllers,” Syst. Control Lett., 22, pp. 17–25.
2. Grigoriadis, K. M., and Skelton, R. E., 1997, “Minimum-Energy Covariance Controllers,” Automatica, 33, pp. 569–578.
3. Iwasaki, T., Skelton, R. E., and Corless, M., 1998, “Recursive Construction Algorithm for Covariance Control,” IEEE Trans. Autom. Control, 43, pp. 268–272.
4. Skelton, R. E., Iwasaki, T., and Grigoriadis, K. M., 1998, A Unified Algebraic Approach to Linear Control Design, Taylor and Francis, Bristol, Pennsylvania.
5. Chung, H. Y., and Chang, W. J., 1994, “Extension of the Covariance Control Principle to Nonlinear Stochastic Systems,” IEE Proc.-D: Control Theory Appl., 141, pp. 93–98.
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