On the Solvability of Feedback Complete Linearization of Nonlinear Stochastic Systems

Beheshtipour, Zohreh; Khaloozadeh, Hamid; Amjadifard, Roya

doi:10.1109/tsmc.2017.2689774

Cited by 3 publications

(3 citation statements)

References 19 publications

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“…θ ∈ ℝ p is a vector of unknown constant parameters. Now, according to [24][25][26], an associated nonlinear system of (1) is defined as:…”

Section: Defining the Problemmentioning

confidence: 99%

“…According to [24][25][26], in the feedback linearization approach, controlling system (4) is equivalent to control system (1). Since our proposed method is based on adaptive feedback linearization, then we consider system (4) in order to control system (1).…”

Section: Defining the Problemmentioning

confidence: 99%

“…Now, according to , an associated nonlinear system of is defined as:

\overset{X}{true} ((), t) = f ((),, X ((), t), θ) + b ((),, X ((), t), θ) u ((), t) + italicgw ((), t),

where w is considered as an exogenous disturbance input. b and g are exactly the same as in stochastic system and f is defined using Ito's rule, as

f ((), X ((), t)) = a ((), X ((), t)) - \frac{1}{2} \sum_{i = 1}^{s} \frac{\partial g_{i}}{\partial X} ((), X ((), t)) g_{i} ((), X ((), t)) .

…”

Section: Defining the Problemmentioning

confidence: 99%

See 2 more Smart Citations

Model‐Reference Adaptive Moment Control of Uncertain Nonlinear Stochastic Systems

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Khaloozadeh

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2018

Asian Journal of Control

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In this paper, a new model-reference adaptive moment control method is proposed to control the first and second moments of an uncertain nonlinear system with additive external stochastic excitation. This method has established a closed-loop control system that calculates an adaptive stochastic nonlinear input by introducing a Lyapunov function and adaptive update law. The proposed adaptive structure is innovative in trying to minimize two errors simultaneously: the moments tracking error and the error between the nonlinear system output and reference model. Furthermore, the proposed method can control the expected and covariance matrices of the states without needing to solve the complicated Fokker-Planck-Kolmogorov differential equation or using the approximate methods. Simulation has been performed on two practical examples, which show a good performance for the designed controller.

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“…θ ∈ ℝ p is a vector of unknown constant parameters. Now, according to [24][25][26], an associated nonlinear system of (1) is defined as:…”

Section: Defining the Problemmentioning

confidence: 99%

Section: Defining the Problemmentioning

confidence: 99%

See 1 more Smart Citation

Model‐Reference Adaptive Moment Control of Uncertain Nonlinear Stochastic Systems

Beheshtipour

Khaloozadeh

Amjadifard

2018

Asian Journal of Control

Self Cite

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Numerical simulation of helicopter rotor blade vertical pendulum absorbers

Hu,

Li,

Yang

et al. 2024

J. Phys.: Conf. Ser.

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Vibration is a very common phenomenon in helicopter flight, and its main source is the combined excitation force on the paddles as they rotate. In order to attenuate this harmful phenomenon, helicopter paddles are usually fitted with vibration absorbers. The helicopter rotor blade root single pendulum vibration absorber is a typical passive control type dynamic vibration absorber, which has a better vibration absorbing function, but also has certain difficulties in dynamics analysis. In this paper, a linearized dynamics analysis of the single pendulum vibration absorber is carried out, and a dynamics model of the paddle root single pendulum vibration absorber coupled with the paddle blade is established; a typical helicopter rotor system model is constructed by using Matlab, and further modeling and simulation comparisons are carried out by using ADAMS. According to the results of simulation and analysis, the unidirectional vibration level of the rotor hub can be reduced by 85% after the paddle root single pendulum absorber is installed, and the error with the theoretical analysis results is small, which has a better effect and application prospect.

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Mean-Square Admissibility Analysis and Controller Design for Itô-Type Stochastic Singular Systems

Huang

Yang

2021

IEEE Access

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The issues of mean-square admissibility and synthesis of Itô-type stochastic singular systems (SSSs) under Brownian parameter perturbations are introduced in this article. For ease of computation, a novel sufficient condition is given to guarantee autonomous systems are mean-square admissible via strict linear matrix inequalities(LMIs). Furthermore, own to the measurable of the system states, both state feedback controller and observer-based controller (OBC) for Itô-type SSSs are investigated. However, in Itôtype SSSs, because the state of the system and the observer can be affected by Brownian fluctuation, it is not feasible that the observer and control gains design are completely separate. To this end, an innovative design approach is also proposed to solve the controller and observer parameters simultaneously in form of strict LMIs. Finally, three examples are introduced to demonstrate the effectiveness of the proposed method.INDEX TERMS Itô-type SSSs, mean-square admissibility, Brownian parameter perturbations, OBC, strict LMIs.

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On the Solvability of Feedback Complete Linearization of Nonlinear Stochastic Systems

Cited by 3 publications

References 19 publications

Model‐Reference Adaptive Moment Control of Uncertain Nonlinear Stochastic Systems

Model‐Reference Adaptive Moment Control of Uncertain Nonlinear Stochastic Systems

Numerical simulation of helicopter rotor blade vertical pendulum absorbers

Mean-Square Admissibility Analysis and Controller Design for Itô-Type Stochastic Singular Systems

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