Robust passivity and feedback design for minimum-phase nonlinear systems with structureal uncertainty

“…To deduce the passivation controller, we need the following function decomposition which is possible if the function f 1 ðÁÞ is smooth (Lin and Shen 1999) …”

Section: Robust Passivation Via State Feedbackmentioning

confidence: 99%

Passivity-based robust feedback control for non-linear systems with input dynamical uncertainty

Jiao

Shen

Tamura

2004

International Journal of Control

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“…Therefore, feedback passification is also recognized as an important issue in its own right. In this respect, there exist extensive results (see previous works, [15][16][17][18][19] for instance). Among those works, the work of Byrnes et al 15 is a cornerstone that presents a necessary and sufficient condition to render an affine nonlinear system feedback passive using geometric nonlinear control theory.…”

Section: Introductionmentioning

confidence: 99%

Passivity‐based adaptive output tracking control for switched nonlinear systems with uncertain parameters

Sun

Zhao

2017

Adaptive Control & Signal

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SummaryThis paper addresses the issue of the adaptive output tracking control for switched nonlinear systems with uncertain parameters. The solvability of the tracking control problem for each subsystem is not necessary to hold. Individual update laws corresponding to different unknown parameters are adopted to reduce the conservativeness produced from the adoption of a common undated law. By means of the dual design of the adaptive controllers and a state-dependent switching law using multiple storage functions technique, several conditions are obtained under which the adaptive output tracking control problem for switched nonlinear systems is solvable. Finally, an example shows the effectiveness of the proposed method.

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“…Besides, it has developed a framework for studying the stabilizability of minimum-phase deterministic nonlinear systems. [18] proposed a robust enhancement of the result in [1].…”

Section: Introductionmentioning

confidence: 99%

Passivity and feedback design of nonlinear stochastic systems

Lin

2009

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) Held Jointly With 2009 28th Chinese Control Conference

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In this paper, the problem of feedback equivalence to a passive system is studied for a class of nonlinear stochastic systems. Based on a nonlinear stochastic KYP lemma, we investigate the relationship between a passive system and the corresponding zero-output system, which sustains a different result from the deterministic case. Following the stochastic passivity theory, a sufficient condition is given for global stabilization of this class of nonlinear stochastic systems.

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Robust passivity and feedback design for minimum-phase nonlinear systems with structureal uncertainty

Cited by 94 publications

References 24 publications

Passivity-based robust feedback control for non-linear systems with input dynamical uncertainty

Passivity-based robust feedback control for non-linear systems with input dynamical uncertainty

Passivity‐based adaptive output tracking control for switched nonlinear systems with uncertain parameters

Passivity and feedback design of nonlinear stochastic systems

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