Adaptive output feedback controller design for high-order stochastic nonlinear systems with uncertain output function

Liu, Ce; Zhai, Junyong

doi:10.1016/j.isatra.2022.04.024

Cited by 9 publications

(5 citation statements)

References 24 publications

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“…Clearly, inequality (29) holds when e i = 0. In addition, with the help of xi = x i − e i − s i−1 (x i−1 − xi−1 ) and Lemma 5, we can get that…”

Section: Reduced-order Observer Designmentioning

confidence: 99%

“…The high-order systems (HOSs) [2,16] that have been focused on for many years are a typical class of lower-triangular nonlinear systems not meeting the above requirements. Fortunately, by using the homogeneous domination approach [41] and the adding a power integrator (AAPI) technique [27], many interesting results on the feedback control problem of HOSs with stochastic disturbance have been obtained (see, for instance [7,29,59]). Particularly, combining the LKF based method, stabilization of high-order SNTDSs by state feedback control was considered by authors in [50][51][52].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic output feedback stabilization for a class of nonsmooth stochastic nonlinear systems perturbed by multiple time-varying delays

Jia,

Dai,

Zhang

et al. 2024

Nonlinear Dyn

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In this paper, the output feedback stabilization problem is investigated for a class of low-order stochastic nonlinear time-delay systems with the lowertriangular form, where the powers of chained integrators are arbitrary real numbers between 0 and 1, and the multiple time-vary delays act on each system state. Because of the existence of low-order nonlinear terms, the system is not feedback linearizable and differentiable. Nevertheless, we show that an output feedback controller can be systematically designed to ensure the global strong asymptotic stability of the closed-loop system based on an extended stochastic stability theory. In the controller design, the negative effect of the multiple time-varying delays is counteracted by skillfully constructing a novel Lyapunov-Krasovskii functional, and the observer gains are determined by developing a recursive selection procedure. Finally, a numerical example is provided to verified the effectiveness of the proposed method. KeywordsOutput feedback stabilization • Low-order nonlinearities • Stochastic nonlinear systems • State observer • Multiple time-varying delays J. Jia ( ) • F. Zhang ( ) •

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“…Clearly, inequality (29) holds when e i = 0. In addition, with the help of xi = x i − e i − s i−1 (x i−1 − xi−1 ) and Lemma 5, we can get that…”

Section: Reduced-order Observer Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamic output feedback stabilization for a class of nonsmooth stochastic nonlinear systems perturbed by multiple time-varying delays

Jia,

Dai,

Zhang

et al. 2024

Nonlinear Dyn

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“…Thus there is increasing study on how to design controller for the systems with uncertain output function. [26][27][28][29][30][31] For example, by LRT, the work 28 designed a full-order observer and a linear controller with two constant gains to stabilize a class of lower-triangular stochastic time-delay nonlinear systems. By virtue of the dynamic gain and API technique, the work 30 constructed a novel observer and adaptive controller for a class of high-order SNS using the output signal.…”

Section: Introductionmentioning

confidence: 99%

“…[26][27][28][29][30][31] For example, by LRT, the work 28 designed a full-order observer and a linear controller with two constant gains to stabilize a class of lower-triangular stochastic time-delay nonlinear systems. By virtue of the dynamic gain and API technique, the work 30 constructed a novel observer and adaptive controller for a class of high-order SNS using the output signal. Based on this, the work 31 introduced two dynamic gains into the observer and eliminated the negative influence of time-varying delays.…”

Section: Introductionmentioning

confidence: 99%

“…Unfortunately, the above mentioned literature have not taken it into consideration. Thus there is increasing study on how to design controller for the systems with uncertain output function 26–31 . For example, by LRT, the work 28 designed a full‐order observer and a linear controller with two constant gains to stabilize a class of lower‐triangular stochastic time‐delay nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive event‐triggered output‐feedback control for p‐normal stochastic nonlinear systems with uncertain output function and time‐varying delays

Liu,

Zhai

2024

Intl J Robust & Nonlinear

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This paper designs an adaptive event‐triggered output‐feedback controller for a class of ‐normal switched SNS with uncertain output function and time‐varying delays. Firstly, a Lyapunov function and reduced‐order observer using the output signal are constructed for nominal system by virtue of sign function and API technique. Then a dynamic gain and time‐decaying parameter are introduced into the event‐triggered mechanism to reduce the number of control updates. Next, by virtue of LKF and stochastic Barbalat's Lemma, it is proved that all the signals are bounded and system states asymptotically converge to zero in probability, and Zeno behavior is excluded. Finally, a numerical example and practical one are given to show the effectiveness of the proposed method.

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Decentralized adaptive control of large‐scale time‐varying stochastic nonlinear systems with unknown covariance

Gu,

Wang,

2024

Intl J Robust & Nonlinear

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In this paper, a novel decentralized adaptive state‐feedback design method is proposed for large‐scale stochastic nonlinear systems. Different from the existing results, we consider more practical and more general systems, that is, systems with both unknown covariance and time‐varying powers. When dealing with the unknown time‐varying covariance, we do not need to know its bound, but use the estimator to design an adaptive law function. Then, a new adaptive controller is constructed with the backstepping method to ensure that the closed‐loop system is globally stable in probability, and that the states are regulated to the origin almost surely. Finally, a simulation example is given to illustrate the effectiveness of the design scheme.

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Adaptive output feedback controller design for high-order stochastic nonlinear systems with uncertain output function

Cited by 9 publications

References 24 publications

Dynamic output feedback stabilization for a class of nonsmooth stochastic nonlinear systems perturbed by multiple time-varying delays

Dynamic output feedback stabilization for a class of nonsmooth stochastic nonlinear systems perturbed by multiple time-varying delays

Adaptive event‐triggered output‐feedback control for p‐normal stochastic nonlinear systems with uncertain output function and time‐varying delays

Decentralized adaptive control of large‐scale time‐varying stochastic nonlinear systems with unknown covariance

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