Observers Design for a Class of Nonlinear Stochastic Discrete-Time Systems

Miao, Xiufeng; Xu, Yaoqun; Yao, Fengge

doi:10.1007/s10773-021-04710-6

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2021

2022

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“…This control is usually available on the assumption that the entire state is accessible. However, in numerous cases, this assumption is invalid, so it is very important to construct an observer that can provide the estimated value of the system state [12] . In recent years, the observer-based control has attracted the attention of researchers, and some results have been obtained [13,14] .…”

Section: Introductionmentioning

confidence: 99%

New Approach to Observer-Based Finite-Time H∞ Control of Discrete-Time One-Sided Lipschitz Systems with Uncertainties

Tang

Dong

2022

j. of electron. & inf. syst.

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This paper investigates the finite-time H∞ control problem for a class of nonlinear discrete-time one-sided Lipschitz systems with uncertainties. Using the one-sided Lipschitz and quadratically inner-bounded conditions, the authors derive less conservative criterion for the controller design and observer design. A new criterion is proposed to ensure the closedloop system is finite-time bounded (FTB). The sufficient conditions are established to ensure the closed-loop system is H∞ finite-time bounded (H∞ FTB) in terms of matrix inequalities. The controller gains and observer gains are given. A numerical example is provided to demonstrate the effectiveness of the proposed results.

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Section: Introductionmentioning

confidence: 99%