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Stochastic Control under Correlated Disturbances

2023 59th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2023
Faraz Farahvash, Ao Tang
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Alternative Tests of Independence between Stochastic Regressors and Disturbances

Econometrica, 1973
IN TESTING HYPOTHESES on the coefficients of a linear regression model with stochastic regressors it is well known that the usual t test and F test are applicable if the stochastic regressors are statistically independent of the disturbances [3, p. 268; 5, pp. 27-28].
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Composite hierarchical anti-disturbance control for stochastic systems with multiple heterogeneous disturbances

Transactions of the Institute of Measurement and Control, 2019
This paper studies the problem of anti-disturbance control for a class of stochastic systems with multiple heterogeneous disturbances, which include the white noise and the non-harmonic disturbance with unknown nonlinear function. An adaptive disturbance observer is constructed to estimate the non-harmonic disturbances with unknown nonlinear function ...
Yongli Wei   +3 more
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Anti-disturbance control based on nonlinear disturbance observer for a class of stochastic systems

Transactions of the Institute of Measurement and Control, 2018
In engineering, there exist lots of nonlinear disturbance dynamics, which can be described by nonlinear exogenous systems. The current stochastic linear disturbance observer is conservative and is not applicable for nonlinear disturbance dynamics. This paper studies a class of stochastic systems with multiple disturbances, including white noise and ...
Lewei Dong, Xinjiang Wei, Huifeng Zhang
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Adaptive disturbance observer‐based control for stochastic systems with multiple heterogeneous disturbances

International Journal of Robust and Nonlinear Control, 2019
SummaryAntidisturbance control problem is discussed for stochastic systems with multiple heterogeneous disturbances, which include the white noise and the disturbance with unknown frequencies and amplitudes. An adaptive disturbance observer is designed to estimate the disturbance with unknown frequencies and amplitudes, based on which, an adaptive ...
Xinjiang Wei   +4 more
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Dead time and processes with stochastic disturbances

15th Annual Conference of IEEE Industrial Electronics Society, 2003
To control processes with unknown or variable dead time, it is important to estimate the dead time in real time. In the present work, adaptive control systems with reference models, where the estimation of the dead time in the batch processing model is considered, are studied.
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Stability of Structures under Stochastic Disturbances

1971
This paper examines certain problems in the stability of elastic structures when the external loads fluctuate in a stochastic manner. The study is important for two reasons. First, there exist many examples of loads such as those generated by jet and rocket engines, earthquakes, wind gusts, etc., that cannot be adequately described by deterministic ...
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On the convergence of tracking differentiator with multiple stochastic disturbances

Science China Information Sciences, 2023
Zehao Wu   +3 more
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Minimum Variance Controllers for Stochastic Disturbances

1981
In the design of minimum variance controllers the variance of the controlled variable $${\mathop{\rm var}} \left[ {y\left( k \right)} \right] = E\left\{ {{y^2}\left( k \right)} \right\}$$ is minimized. This criterion was used in [12.4] by assuming a noise filter given by (12.2.31) but with C(z −1) = A(z −1). The manipulated variable u(k) was not
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Parameter-optimized Controllers for Stochastic Disturbances

1981
The parameter-optimized control algorithms given in chapter 5 can be modified to include stochastic disturbance signals n(k) by using the quadratic performance criterion $$S_{eu}^2 = \sum\limits_{k = 1}^M {\left[ {{e^2}\left( k \right) + rK_p^2\Delta {u^2}\left( k \right)} \right]} $$ (13.1) if the disturbance signals are known.
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