References
- ATHERTON , D. P. , 1982 , Nonlinear Control Engineering ( New York : Van Nostrand Reinhold ).
- BEAMAN , J. J. , 1984 , Non-linear quadratic gaussian control . International Journal of Control , 39 ( 2 ), 343 – 361 .
- BEAMAN , J. J. , and HEDRICK , J. K. , 1981 , Improved statistical linearisation for analysis and control of nonlinear stochastic systems — Part I: An extended statistical linearisation technique . Transactions of the ASME, Series G, Journal of Dynamic Systems, Measurement and Control , 103 , 14 – 21 .
- BEAMAN , J. J. , and LIN , C. H. , 1990 , Application of nonlinear qua-dcratic stochastic control to a position servomechanism . Transactions of the ASME, Series G, Journal of Dynamic Systems Measurement and Control , 112 , 675 – 679 .
- CHANG , W. J. , and CHUNG , H. Y. , 1996 , A covariance controller design incorporating optimal estimation for nonlinear stochastic systems . Transactions of the ASME, Series G, Journal of Dynamic Systems. Measurement and Control , 118 , 346 – 349 .
- CHEN , H. , and SKELTON , R. E. , 1987 , All covariance controllers for linear discrete-time systems . IEEE Transactions on Automatic Control , 35 ( 8 ), 908 – 915 .
- CHENG , H. Y. , and CHANG , W. J. , 1991 , Constrained variance design for bilinear stochastic continuous systems . Proceedings of the Institution of Electrical Engineers: Control Applications , 138 ( 2 ), 145 – 150 ; 1994, Extension of the covariance control principle to nonlinear stochastic systems. Ibid., 141(2), 93–98 .
- COLLINS , E. G., JR. , and SKELTON , R. E. , 1986 , Constrained variance design using state covariance assignment . Proceedings of the American Control Conference , Seattle , Washington , U.S.A. , June , pp. 51 – 56 ; 1987, A theory of state covariance assignment for discrete systems. IEEE Transactions on Automatic Control, 32(1), 35–41 .
- GELB , A. , and WARREN , R. S. , 1973 , Direct statistical analysis of nonlinear systems: CADET . AIAA Journal , 11 ( 5 ), 689 – 696 .
- HOTZ , A. F. , and SKELTON , R. E. , 1987 , A covariance control theory . International Journal of Control , 46 ( 1 ), 13 – 32 .
- LEITHEAD , W. E. , 1990 , Systematic approach to linear approximation of nonlinear stochastic systems-Part 1: Asymptotic expansions . International Journal of Control , 51 ( 1 ), 71 – 91 .
- MOHLER , R. R. , 1991 , Nonlinear Systems , Vol. 1 , Dynamics and Control ( Englewood Cliffs , New Jersey , U.S.A. : Prentice Hall ).
- PAPOULIS , A. , 1991 , Probability, Random Variables and Stochastic Processes , third edition ( New York : McGraw-Hill ).
- SKELTON , R. E. , and IKEDA , M. , 1989 , Covariance controllers for linear continuous-time systems . International Journal of Control , 49 ( 5 ), 1773 – 1785 .
- YASUDA , K. , SKELTON , R. E. , and GRIGORIADIS , K. M. , 1993 , Covariance controllers: a new parametrization of the class of all stabilizing controllers . Aulomatica , 29 ( 3 ), 785 – 788 .