Optimal projection equations for discrete-time fixed-order dynamic compensation of linear systems with multiplicative white noise

International Journal of Control ◽

10.1080/00207178708933884 ◽

1987 ◽

Vol 46 (1) ◽

pp. 65-73 ◽

Author(s):

DENNIS S. BERNSTEIN ◽

WASSIM M. HADDAD

Keyword(s):

White Noise ◽

Linear Systems ◽

Discrete Time ◽

Dynamic Compensation ◽

Optimal Projection ◽

Multiplicative White Noise ◽

Fixed Order ◽

Projection Equations

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The optimal projection equations for reduced-order, discrete-time state estimation for linear systems with multiplicative white noise

Systems & Control Letters ◽

10.1016/0167-6911(87)90106-x ◽

1987 ◽

Vol 8 (4) ◽

pp. 381-388 ◽

Author(s):

Wassim M Haddad ◽

Dennis S Bernstein

Keyword(s):

White Noise ◽

State Estimation ◽

Linear Systems ◽

Discrete Time ◽

Reduced Order ◽

Optimal Projection ◽

Multiplicative White Noise ◽

Projection Equations

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Optimal projection equations for reduced-order modelling, estimation, and control of linear systems with multiplicative white noise

Journal of Optimization Theory and Applications ◽

10.1007/bf00939389 ◽

1988 ◽

Vol 58 (3) ◽

pp. 387-409 ◽

Author(s):

D. S. Bernstein ◽

D. C. Hyland

Keyword(s):

White Noise ◽

Linear Systems ◽

Reduced Order ◽

Reduced Order Modelling ◽

Optimal Projection ◽

Multiplicative White Noise ◽

Estimation And Control ◽

Control Of Linear Systems ◽

Projection Equations ◽

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The Optimal Projection Equations for Finite-Dimensional Fixed-Order Dynamic Compensation of Infinite-Dimensional Systems

SIAM Journal on Control and Optimization ◽

10.1137/0324006 ◽

1986 ◽

Vol 24 (1) ◽

pp. 122-151 ◽

Author(s):

Dennis S. Bernstein ◽

David C. Hyland

Keyword(s):

Dynamic Compensation ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Finite Dimensional ◽

Optimal Projection ◽

Fixed Order ◽

Projection Equations

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The optimal projection equations for fixed-order dynamic compensation of distributed-parameter systems

10.2514/6.1984-1035 ◽

1984 ◽

Author(s):

D. BERNSTEIN ◽

D. HYLAND

Keyword(s):

Distributed Parameter Systems ◽

Distributed Parameter ◽

Dynamic Compensation ◽

Optimal Projection ◽

Fixed Order ◽

Projection Equations

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The optimal projection equations for fixed-order dynamic compensation

IEEE Transactions on Automatic Control ◽

10.1109/tac.1984.1103418 ◽

1984 ◽

Vol 29 (11) ◽

pp. 1034-1037 ◽

Author(s):

D. Hyland ◽

D. Bernstein

Keyword(s):

Dynamic Compensation ◽

Optimal Projection ◽

Fixed Order ◽

Projection Equations

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The optimal projection equations with Petersen-Hollot bounds: robust stability and performance via fixed-order dynamic compensation for systems with structured real-valued parameter uncertainty

IEEE Transactions on Automatic Control ◽

10.1109/9.1257 ◽

1988 ◽

Vol 33 (6) ◽

pp. 578-582 ◽

Author(s):

D.S. Bernstein ◽

W.M. Haddad

Keyword(s):

Robust Stability ◽

Parameter Uncertainty ◽

Dynamic Compensation ◽

Optimal Projection ◽

Fixed Order ◽

And Performance ◽

Projection Equations

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The optimal projection equations for finite-dimensional fixed-order ℋ2-optimal control of infinite-dimensional discrete-time systems

International Journal of Control ◽

10.1080/00207179508921921 ◽

1995 ◽

Vol 61 (3) ◽

pp. 641-655

Author(s):

FLORIN DAN BARB ◽

WILLEM L. DE KONING

Keyword(s):

Optimal Control ◽

Discrete Time ◽

Infinite Dimensional ◽

Finite Dimensional ◽

Discrete Time Systems ◽

Optimal Projection ◽

Fixed Order ◽

Projection Equations ◽

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The optimal projection equations for fixed-order, sampled-data dynamic compensation with computation delay

IEEE Transactions on Automatic Control ◽

10.1109/tac.1986.1104407 ◽

1986 ◽

Vol 31 (9) ◽

pp. 859-862 ◽

Author(s):

D. Bernstein ◽

L. Davis ◽

S. Greeley

Keyword(s):

Sampled Data ◽

Dynamic Compensation ◽

Optimal Projection ◽

Fixed Order ◽

Projection Equations

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Robust Stability and Performance for Fixed-Order Dynamic Compensation via the Optimal Projection Equations with Guaranteed Cost Bounds

10.23919/acc.1988.4790140 ◽

1988 ◽

Author(s):

Dennis S. Bernstein ◽

Wassim M. Haddad

Keyword(s):

Robust Stability ◽

Dynamic Compensation ◽

Optimal Projection ◽

Guaranteed Cost ◽

Fixed Order ◽

And Performance ◽

Projection Equations

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Optimal Filtering for Discrete-Time Linear Systems With Multiplicative White Noise Perturbations and Periodic Coefficients

IEEE Transactions on Automatic Control ◽

10.1109/tac.2012.2215534 ◽

2013 ◽

Vol 58 (4) ◽

pp. 1029-1034 ◽

Author(s):

Vasile Dragan

Keyword(s):

White Noise ◽

Linear Systems ◽

Discrete Time ◽

Optimal Filtering ◽

Periodic Coefficients ◽

Multiplicative White Noise ◽

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