Adaptive tracking control for a class of stochastic switched systems with stochastic input-to-state stable inverse dynamics and input saturation

Yao, Liqiang; Zhang, Weihai

doi:10.1016/j.sysconle.2019.104555

Cited by 13 publications

(16 citation statements)

References 36 publications

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“…Let the  ∞ -functions 1 (|x|) = ∈ (0, 1); then it follows from Corollary 4 and Theorem 4 that system (32) and (33) are NSS-P with m < − ln = 0.69. The status responses can be shown by Figure 6 when the initial values are chosen as 8, −8, 6, and −10, respectively.…”

Section: Examplementioning

confidence: 99%

Improved noise‐to‐state stability criteria of random nonlinear systems with stochastic impulses

Feng

Park

Zhang

2020

IET Control Theory & Appl

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This paper considers noise‐to‐state stability for random non‐linear systems with stochastic impulses. The impulsive random non‐linear systems contain three random characteristics: the second‐moment processes in continuous dynamics, the sequence of random variables in discrete dynamics, and the number of stochastic impulses obeyed a renewal process. Firstly, the improved criteria of noise‐to‐state stability are established for random non‐linear systems subject to unstable stochastic impulses based on the uniformly asymptotically stable function. Secondly, improved Lyapunov approaches of NSS with unstable stochastic continuous dynamics are accomplished by the uniformly exponentially stable function. Finally, two numerical examples are used to illustrate the feasibility of the proposed methods.

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Section: Examplementioning

confidence: 99%

Improved noise‐to‐state stability criteria of random nonlinear systems with stochastic impulses

Feng

Park

Zhang

2020

IET Control Theory & Appl

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“…(ii) The effects of multidelay and high-order power are simultaneously considered into system modeling, which indicates that more efforts should be made in control design and stability analysis. In this article, a novel form of Lyapunov-Krasovskii (L-K) functional with two control gains (see (24)) is proposed to eliminate the coupling effects of multidelay and unknown states. In addition, due to the appearances of high-order power and unmodeled dynamics, suitable selection criteria of the control parameters i (i = 1, … , n) and two control gains L, (see Proposition 1,(26) and ( 27)) are presented skillfully in our control design.…”

Section: Introductionmentioning

confidence: 99%

Output‐feedback stabilization of a class of stochastic high‐order nonlinear systems with stochastic inverse dynamics and multidelay

Hui

Zhu

2021

Intl J Robust & Nonlinear

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In this article, the problem of output-feedback stabilization for a class of stochastic high-order nonlinear systems with stochastic inverse dynamics and multidelay is studied. In the control scheme, an output-feedback controller with a reduced-order observer is designed to globally stabilize the whole system. Different from the classical literature on stochastic upper-triangular systems, a high-gain-based technique is utilized to eliminate the effect of uncertainties in z 0 -subsystem. By skillfully choosing suitable forms of the control gains and the Lyapunov-Krasovskii functional, we analyze the global asymptotic stability in probability of the closed-loop system. Finally, two simulation examples are presented to show the effectiveness of our theoretical results.

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“…In addition, many practical systems in operation are inevitably suffering from diverse random interference from the external environment. Although random noise was often modeled as a white noise in References 14‐16, it may be not appropriate for the reason that the energy of white noise was infinite. Taking into account this point, it is more appropriate to describe the random disturbance with a second‐order moment process, whose mean power is bounded 17,18 .…”

Section: Introductionmentioning

confidence: 99%

Stability criteria of random delay differential systems subject to random impulses

Zhang

Feng

et al. 2021

Intl J Robust & Nonlinear

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This article investigates the stability of random impulsive delay differential systems with the kind of random impulsive intensity determined by an arbitrary random sequence or an irreducible aperiodic Markov chain. Moreover, the continuous dynamics are described by random delay differential equations whose random disturbances are driven by second‐order moment processes. Based on the approaches of average impulsive interval and mode‐dependent average impulsive interval, the criteria of global asymptotic stability in probability and exponential stability in mth moment are constructed, respectively. In the end, the feasibility of the proposed theoretical results is verified by an example.

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Adaptive tracking control for a class of stochastic switched systems with stochastic input-to-state stable inverse dynamics and input saturation

Cited by 13 publications

References 36 publications

Improved noise‐to‐state stability criteria of random nonlinear systems with stochastic impulses

Improved noise‐to‐state stability criteria of random nonlinear systems with stochastic impulses

Output‐feedback stabilization of a class of stochastic high‐order nonlinear systems with stochastic inverse dynamics and multidelay

Stability criteria of random delay differential systems subject to random impulses

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