Output-feedback control of a class of stochastic nonlinear systems with power growth conditions

Guo, Lanzhong; Zuo, Xin; Liu, Jianwei; Liang, Huaqing

doi:10.1007/s12555-012-0539-6

Cited by 15 publications

(11 citation statements)

References 18 publications

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“…where = ( 1 , ⋅ ⋅ ⋅ , ) , = ( 1 , ⋅ ⋅ ⋅ , ) , ℎ = (ℎ 1 , ⋅ ⋅ ⋅ , ℎ ) . By (16), stochastic nonlinear systems (11) and (13) can be converted to…”

Section: Lyapunov Analysis Of Closed-loop Systemsmentioning

confidence: 99%

“…The problem of global output tracking control for nonlinear systems has been extensively studied by academic researchers and successfully applied in some practical nonlinear systems (see [1][2][3][4][5][6][7][8][9][10]). According the existing papers, two types output tracking have been concerned which are asymptotic output tracking and practical tracking (see [11][12][13][14][15][16]). The asymptotic output tracking focuses on the design of controller that forces the controlled output of system to reach and follow a timeparameterised reference track signal.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Output Feedback Tracking Controller Design of Stochastic Nonlinear Systems with Parameter Uncertainty for Polynomial Function Growth Conditions

Guo

2018

Mathematical Problems in Engineering

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This paper mainly focuses on output feedback practical tracking controller design for stochastic nonlinear systems with polynomial function growth conditions. Mostly, there are some studies on output feedback tracking control problem for general nonlinear systems with parametric certainty in existing achievements. Moreover, we extend it to stochastic nonlinear systems with parametric uncertainty and system nonlinear terms are assumed to satisfy polynomial function growth conditions which are more relaxed than linear growth conditions or power growth conditions. Due to the presence of unknown parametric uncertainty, an output feedback practical tracking controller with dynamically updated gains is constructed explicitly so that all the states of the closed-loop systems are globally bounded and the tracking error belongs to arbitrarily small interval after some positive finite time. An example illustrates the efficiency of the theoretical results.

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“…where = ( 1 , ⋅ ⋅ ⋅ , ) , = ( 1 , ⋅ ⋅ ⋅ , ) , ℎ = (ℎ 1 , ⋅ ⋅ ⋅ , ℎ ) . By (16), stochastic nonlinear systems (11) and (13) can be converted to…”

Section: Lyapunov Analysis Of Closed-loop Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive Output Feedback Tracking Controller Design of Stochastic Nonlinear Systems with Parameter Uncertainty for Polynomial Function Growth Conditions

Guo

2018

Mathematical Problems in Engineering

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“…Zhang et al [23] considered a class of generalized strict feedback uncertain systems. However, in the practical system, the situation in the unknown control direction is ubiquitous, such as attitude control of the spacecraft, military radar tracking control, precision guidance control, and industrial robot control [24][25][26][27][28]. In theoretical research, the unknown control direction can be defined by the upper and lower bounds.…”

Section: Introductionmentioning

confidence: 99%

Bounded Analysis and Practical Tracking Control of Complex Stochastic Nonlinear Systems with Unknown Control Coefficients

Guo

Fang

2020

Complexity

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This paper mainly focuses on the output practical tracking controller design for a class of complex stochastic nonlinear systems with unknown control coefficients. In the existing research results, most of the complex systems are controlled in a certain direction, which leads to the disconnection between theoretical results and practical applications. The authors introduce unknown control coefficients, and the values of the upper and lower bounds of the control coefficients are generalized by constants to allow arbitrary values to be arbitrarily large or arbitrarily small. In the control design program, the design problem of the controller is transformed into a parameter construction problem by introducing appropriate coordinate transformation. Moreover, we construct an output feedback practical tracking controller based on the dynamic and static phase combined by Ito stochastic differential theory and selection of appropriate design parameters, ensuring that the system tracking error can be made arbitrarily small after some large enough time. Finally, a simulation example is provided to illustrate the efficiency of the theoretical results.

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“…Chen et al [9] and Liu and Xie [10] have talked about the state feedback stability for stochastic nonlinear systems with time-varying delay. Guo et al [11] have solved the output feedback stability for a class of stochastic nonlinear systems with power growth conditions. More results can be found in [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Globally Asymptotic Stability of Stochastic Nonlinear Systems by the Output Feedback

Cheng

Zhu

Yao

2015

Mathematical Problems in Engineering

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We address the problem of the globally asymptotic stability for a class of stochastic nonlinear systems with the output feedback control. By using the backstepping design method, a novel dynamic output feedback controller is designed to ensure that the stochastic nonlinear closed-loop system is globally asymptotically stable in probability. Our way is different from the traditional mathematical induction method. Indeed, we develop a new method to study the globally asymptotic stability by introducing a series of specific inequalities. Moreover, an example and its simulations are given to illustrate the theoretical result.

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Output-feedback control of a class of stochastic nonlinear systems with power growth conditions

Cited by 15 publications

References 18 publications

Adaptive Output Feedback Tracking Controller Design of Stochastic Nonlinear Systems with Parameter Uncertainty for Polynomial Function Growth Conditions

Adaptive Output Feedback Tracking Controller Design of Stochastic Nonlinear Systems with Parameter Uncertainty for Polynomial Function Growth Conditions

Bounded Analysis and Practical Tracking Control of Complex Stochastic Nonlinear Systems with Unknown Control Coefficients

Globally Asymptotic Stability of Stochastic Nonlinear Systems by the Output Feedback

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