State and sensor fault reconstruction with H&lt;inf&gt;∞&lt;/inf&gt; performance for lipschitz nonlinear systems with time varying uncertainties

Zemzemi, Ammar; Kamel, Mohamed S.; Toumi, Ahmed

doi:10.1109/sta.2016.7952107

Cited by 3 publications

(3 citation statements)

References 13 publications

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“…However, the computation is still a difficult problem in H ∞ control for nonlinear systems such as Hu et al (2003). To simplify computing and design of H ∞ controller, some constraint conditions are made in nonlinear systems such as Zemzemi et al (2016) and Hu et al (2016). In Zemzemi et al (2016), a scheme of designing robust observer is proposed for a class of nonlinear systems with time-varying uncertainties and whose nonlinear function is assumed to satisfy the Lipschitz condition.…”

Section: Introductionmentioning

confidence: 99%

“…To simplify computing and design of H ∞ controller, some constraint conditions are made in nonlinear systems such as Zemzemi et al (2016) and Hu et al (2016). In Zemzemi et al (2016), a scheme of designing robust observer is proposed for a class of nonlinear systems with time-varying uncertainties and whose nonlinear function is assumed to satisfy the Lipschitz condition. The parameters of proposed observer are determined by using LMIs techniques.…”

Section: Introductionmentioning

confidence: 99%

“…The uncertain of nonlinear system is described by the matrices multiplication and a new method of annihilating uncertain matrix is proposed. However, both in Zemzemi et al (2016) and Hu et al (2016), the nonlinear uncertainty must be assumed to satisfy a matching condition and the nonlinearity of the system is subject to certain assumptions.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Robust H∞ control for nonlinear course system of unmanned surface vessel with polytopic uncertainty based on sum of squares

Huang

Zhenyi

Huang

et al. 2020

Transactions of the Institute of Measurement and Control

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In this paper, the nonlinear robust [Formula: see text] control is investigated for nonlinear course control systems of unmanned surface vessel (USV) with uncertain parameters and external disturbance. Firstly, we suppose that the part or all of the system parameters are unknown but within some ranges, due to the effect of different conditions such as the loading of ship. Then, the course system is modeled as a polynomial one with time invariant polytopic uncertainty. With the aid of parameter dependent Lyapunov function method and positive polynomial theory, the sufficient conditions are given for stability and stabilization with [Formula: see text] performance. These conditions are formulated in terms of parameter-dependent nonlinear matrix inequalities which can be verified by semidefinite programming relaxations based on the sum of squares technique. Finally, simulation results show the effectiveness of the approach.

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