Output Feedback Stabilization Using Small-Gain Method and Reduced-Order Observer for Stochastic Nonlinear Systems

Zhao, Congran; Xie, Xue‐Jun

doi:10.1109/tac.2012.2208313

Cited by 53 publications

(24 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Some interesting problems are still remained, eg, (1) under the weaker condition on output function, can we design a stable output feedback controller for more general stochastic nonlinear systems? (2) Recently, some results on stochastic nonlinear systems with y = 1 and stochastic inverse dynamics, and stochastic high-order nonlinear systems with y = 1 have achieved [22][23][24][25][26][27][28] ; an interesting problem is whether some results can be obtained for these systems with y = h( 1 ).…”

Section: A Concluding Remarkmentioning

confidence: 99%

Output feedback stabilization of stochastic feedforward nonlinear time‐delay systems with unknown output function

Xie

Jiang

2017

Intl J Robust & Nonlinear

Self Cite

View full text Add to dashboard Cite

SummaryThis paper studies the problem of output feedback stabilization for a class of stochastic feedforward nonlinear systems with state and input delays and the unknown output function. For stochastic feedforward nonlinear systems, the maximal open sector Δ of output function is given. As long as output function belongs to any closed sector included in Δ, by constructing a reduced-order observer and  2 Lyapunov-Krasovskii functional and using the homogeneous domination method, an output feedback controller can be developed to guarantee the closed-loop system globally asymptotically stable in probability.

show abstract

Section: A Concluding Remarkmentioning

confidence: 99%

Output feedback stabilization of stochastic feedforward nonlinear time‐delay systems with unknown output function

Xie

Jiang

2017

Intl J Robust & Nonlinear

Self Cite

View full text Add to dashboard Cite

show abstract

“…Researchers have not yet found any unified way to handle the problem of global output feedback stabilization because the measure of states is difficult. Fortunately, with the help of nonseparation principle [1], homogeneous domination approach [2], and backstepping method, many interesting results such as [3][4][5][6][7][8][9][10][11] have been achieved.…”

Section: Introductionmentioning

confidence: 99%

Global Output Feedback Stabilization for a Class of Nonlinear Cascade Systems

Liu

Sun

Meng

et al. 2018

Mathematical Problems in Engineering

View full text Add to dashboard Cite

This paper focuses on the problem of global output feedback stabilization for a class of nonlinear cascade systems with timevarying output function. By using double-domination approach, an output feedback controller is developed to guarantee the global asymptotic stability of closed-loop system. The novel control strategy successfully constructs a unified Lyapunov function, which is suitable for both upper-triangular and lower-triangular systems. Finally, two numerical examples are provided to illustrate the effectiveness of a control strategy.

show abstract

“…Subsequently, iISS was firstly extended to handle the output‐feedback control problem for a class of stochastic nonlinear systems with stochastic iISS (SiISS) inverse dynamics in . Then, with the help of an important stochastic small‐gain theorem proposed by , recent years have witnessed other advances in control design of stochastic nonlinear systems with SiISS inverse dynamics (see for state‐feedback control and for output‐feedback control). But it is worthy pointing out that all the related aforementioned references only achieved the property of stability in probability or asymptotic stability in probability.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time stabilization of stochastic nonlinear systems with SiISS inverse dynamics

Min

et al. 2017

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

Summary This paper investigates the finite‐time control problem for a class of stochastic nonlinear systems with stochastic integral input‐to‐state stablility (SiISS) inverse dynamics. Motivated by finite‐time stochastic input‐to‐state stability and the concept of SiISS using Lyapunov functions, a novel finite‐time SiISS using Lyapunov functions is introduced firstly. Then, by adopting this novel finite‐time SiISS small‐gain arguments, using the backstepping technique and stochastic finite‐time stability theory, a systematic design and analysis algorithm is proposed. Given the control laws that guarantee global stability in probability or asymptotic stability in probability, our design algorithm presents a state‐feedback controller that can ensure the solution of the closed‐loop system to be finite‐time stable in probability. Finally, a simulation example is given to demonstrate the effectiveness of the proposed control scheme. Copyright © 2017 John Wiley & Sons, Ltd.

show abstract

Output Feedback Stabilization Using Small-Gain Method and Reduced-Order Observer for Stochastic Nonlinear Systems

Cited by 53 publications

References 22 publications

Output feedback stabilization of stochastic feedforward nonlinear time‐delay systems with unknown output function

Output feedback stabilization of stochastic feedforward nonlinear time‐delay systems with unknown output function

Global Output Feedback Stabilization for a Class of Nonlinear Cascade Systems

Finite‐time stabilization of stochastic nonlinear systems with SiISS inverse dynamics

Contact Info

Product

Resources

About