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

Dennis S. Bernstein; David C. Hyland

doi:10.1137/0324006

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 ◽

Cited By ~ 30

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 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 ◽

Time Systems

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

10.2514/6.1984-1035 ◽

1984 ◽

Cited By ~ 3

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 ◽

Cited By ~ 213

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 ◽

Cited By ~ 62

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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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 ◽

Cited By ~ 20

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 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 ◽

Cited By ~ 28

Author(s):

D. Bernstein ◽

L. Davis ◽

S. Greeley

Keyword(s):

Sampled Data ◽

Dynamic Compensation ◽

Optimal Projection ◽

Fixed Order ◽

Projection Equations

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The Optimal Projection Equations for Fixed-Order, Sampled-Data Dynamic Compensation with Computation Delay

10.23919/acc.1986.4789180 ◽

1986 ◽

Author(s):

Dennis S. Bernstein ◽

Lawrence D. Davis ◽

Scott W. 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 ◽

Cited By ~ 1

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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Finite-dimensional adaptive control for infinite-dimensional systems

International Journal of Control ◽

10.1080/00207178808906175 ◽

1988 ◽

Vol 48 (1) ◽

pp. 289-302 ◽

Cited By ~ 37

Author(s):

TOSHIHIRO KOBAYASHI

Keyword(s):

Adaptive Control ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Finite Dimensional

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Review and new theoretical perspectives on active disturbance rejection control for uncertain finite-dimensional and infinite-dimensional systems

Nonlinear Dynamics ◽

10.1007/s11071-020-05845-7 ◽

2020 ◽

Vol 101 (2) ◽

pp. 935-959 ◽

Cited By ~ 1

Author(s):

Ze-Hao Wu ◽

Hua-Cheng Zhou ◽

Bao-Zhu Guo ◽

Feiqi Deng

Keyword(s):

Disturbance Rejection ◽

Active Disturbance Rejection Control ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Finite Dimensional ◽

Active Disturbance Rejection ◽

Theoretical Perspectives ◽

Disturbance Rejection Control

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