Robust stabilization control for uncertain nonlinear systems based on two-step coprime factorization

Tao, Fazhan; Li, Mengyang; Fu, Zhumu

doi:10.1016/j.jfranklin.2020.10.019

Cited by 1 publication

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“…N ONLINEAR dynamic systems have received more and more attention due to the changeable dynamic properties, variety of model forms and arbitrary switching patterns. Up to now, there have been quite a few characteristic investigations of control methods and dynamical behaviors for nonlinear systems [1]- [20], such as fixed-time control [1], event-triggered adaptive control [2], distributed control [3], piecewise control [4], fuzzy control [5], horizon control [6], U-control [7], passivity cascade technique-based control [8], stabilization control [9], iterative learning control [10], sliding set design [11], robustness control [12] and so forth. In addition, various dynamical behaviors of nonlinear systems have been explored [13]- [20], such as asymptotic stability [13], Mittag-Leffler stability [14], globally exponential stabilization [15], [16], synchronization [13], [17], dissipativity [18], robustness analysis [19], [20], etc.…”

Section: Introductionmentioning

confidence: 99%

Robustness Analysis of Exponential Stability of Neutral-Type Nonlinear Systems With Multi-Interference

Xie

2021

IEEE Access

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With a view to the unfavorable impact of the inevitable exogenous interferences for the practical engineering and signal transmission, here we focus on the robustness of global exponential stability for nonlinear dynamical system subject to piecewise constant arguments, neutral terms and stochastic disturbances (SNPNDS). A new troublesome problem is that the neutral terms appeared in the derivative part affected on the other two interference factors is not a simple accumulation, so the Lipchitz condition is adopted to establish the ternary transcendental equations. However, different from previous transcendental equations with single or double variables, solving the transcendental equations with three variables becomes the bottleneck again. Hence, the special independent parameters & interdependent variables method targeted for SNPNDS is adopted here: firstly, all relative independent parameters are fixed. Next, the upper bounds of these three interdependent variables are orderly derived by their coupling relationship. Therein, the optimal constraint conditions for piecewise constant arguments and neutral terms are deduced. Through the strategies mentioned above, a class of algebraic problems of estimating three upper bounds by solving transcendental equations with three variables is settled. Besides, the main method ensures the relationship built among the interference factors is mutually restrictive and dynamic. Meanwhile, the optimized constraints make the linkage effect more comprehensive and valid. Furthermore, the established mechanism is practical enough to be generalized to more multivariable systems. Finally, the numerical simulation comparisons are given to illustrate the validity of the derived results.INDEX TERMS Robustness, nonlinear system, neutral term, piecewise constant argument, stochastic disturbance.

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Section: Introductionmentioning

confidence: 99%

Robustness Analysis of Exponential Stability of Neutral-Type Nonlinear Systems With Multi-Interference

Xie

2021

IEEE Access

View full text Add to dashboard Cite

show abstract

Robust stabilization control for uncertain nonlinear systems based on two-step coprime factorization

Cited by 1 publication

References 24 publications

Robustness Analysis of Exponential Stability of Neutral-Type Nonlinear Systems With Multi-Interference

Robustness Analysis of Exponential Stability of Neutral-Type Nonlinear Systems With Multi-Interference

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