Observations-weighted controllers for single-input single-output stochastic systems using a perturbed-type dual criterion

REFERENCES

• Anderson , B. D. O. , Moore , J. B. , and Mingori , D. L. , 1987 , Relations between frequency-dependent control and state weighting in LQG problems. Optimal Control Applications and Methods , 8 , 109 – 127 .
   Google Scholar
• Desoer , C. A. , Liu , R. W. , Murray , J. , and Saeks , R. , 1980 , Feedback system design: the fractional representation approach in analysis and synthesis. I.E.E.E. Transactions on Automatic Control , 25 , 399 – 412 .
   Web of Science ®Google Scholar
• Francis , B. A. , 1987 , A Course in H_∞ Control Theory , Lecture Notes in Control and Information Science Berlin : Springer-Verlag.
   Google Scholar
• Grimble , M. J. , 1985 , LQG design of discrete systems using a dual criterion. Proceedings of the Institution of Electrical Engineers , Pt D , 132 , 61 – 68 ; 1986 a, Dual criterion stochastic optimal control problem for robustness improvement. I.E.E.E. Transactions on Automatic Control , 31 , 181 – 185 ; 1986 b, Multivariate controllers for LQG self-tuning applications with coloured measurement noise and dynamic cost weighting. International Journal of Systems Science , 17 , 543 – 557 ; 1986 c, Observations weighted controllers for linear stochastic systems. Automatica , 22 , 425 – 431 ; 1986 d, Observations-weighted minimum-variance control of nonlinear systems. Proceedings of the Institution of Electrical Engineers , Pt D , 133 , 172 – 176 ; 1986 e, Controllers for LQG self-tuning applications with coloured measurement noise and dynamic costing. Ibid. , 133 , 19 – 29 .
   Google Scholar
• Jezek , J. , 1982 , New algorithm for minimal solution of linear polynomial equations. Kyberne-tika , 18 , 505 – 516 .
   Web of Science ®Google Scholar
• Johnson , M. A. , and Grimble , M. J. , 1987 , Recent trends in linear optimal quadratic multivariate control systems design. Proceedings of the Institution of Electrical Engineers , Pt D , 133 , 53 – 71 .
   Google Scholar
• KuCera , V. , 1979 , Discrete Linear Control , Chichester : Wiley.
   Google Scholar
• Kavakernaak , H. , 1985 , Minimax frequency domain performance and robustness optimization of linear feedback systems. I.E.E.E. Transactions on Automatic Control , 30 , 994 – 1004 .
   Google Scholar
• Safonov , G. , Laub , A. J. , and Hartmann , G. L. , 1981 , Feedback properties of multivariate systems: the role and use of the return difference matrix. I.E.E.E. Transactions on Automatic Control , 26 , 47 – 65 .
   Web of Science ®Google Scholar
• Shaked , U. , 1976 , A general transfer function approach to linear stationary filtering and steady-state optimal control problems. International Journal of Control , 24 , 741 – 770 .
   Web of Science ®Google Scholar
• Watanabe , K. , and Tzafestas , S. G. , 1989 , Observations weighted controllers for linear stochastic systems using a dual criterion: the single-input single-output case. International Journal of Systems Science , 20 , 1305 – 1321 .
   Web of Science ®Google Scholar