Recursive Observer Design, Homogeneous Approximation, and Nonsmooth Output Feedback Stabilization of Nonlinear Systems

Qian, Chunjiang; Lin, Wei

doi:10.1109/tac.2006.880955

Cited by 197 publications

(193 citation statements)

References 26 publications

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“…We can re-interpret along these lines what is proposed for instance in (Arcak and Kokotović, 2001-TAC;Polendo and Qian, 2005;Qian and Lin, 2006), and , Section 2).…”

Section: The Contextsupporting

confidence: 53%

“…To answer this need new observers going significantly beyond the linear paradigm have been proposed. See (Arcak and Kokotović, 2001-TAC;Krishnamurthy and Khorrami, 2006;Praly, 2003;Praly and Astolfi, 2005;Qian and Lin, 2006) for instance.…”

Section: Discussionmentioning

confidence: 99%

“…This is one of the most general (nominal) structure for which we know how to design a globally asymptotically stabilizing output feedback and whose study has been initiated by (Kanellakopoulos et al, 1991) and (Marino and Tomei, 1991) and further developed for instance in Freeman and Kokotović, 1996;Karagiannis et al, 2005;Krishnamurthy and Khorrami, 2004;Jiang et al, 2004;Marino and Tomei, 2005;Polendo and Qian, 2005;Qian and Lin, 2006) (see also the references therein).…”

Section: System In Normal Formmentioning

confidence: 99%

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A Unifying Point of View on Output Feedback Designs

Andrieu

Praly

2007

IFAC Proceedings Volumes

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Abstract:Output feedback design for non linear systems is a difficult topic which has attracted the attention of researchers with very different approaches. We propose here a unifying point of view on possibly all these contributions. We start with a necessary condition on the structure of the Lyapunov functions for the closed loop system. This motivates the distinction of four classes of designs which can be placed in a two by two matrix (see Table 1), with -the direct approach, also called control error model analysis, and -the indirect approach, also called dynamic error model analysis, as entries in one direction, and domination and cancellation as entries in the other. We show how most available results on this topic can be reinterpreted along these lines.

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“…We can re-interpret along these lines what is proposed for instance in (Arcak and Kokotović, 2001-TAC;Polendo and Qian, 2005;Qian and Lin, 2006), and , Section 2).…”

Section: The Contextsupporting

confidence: 53%

Section: Discussionmentioning

confidence: 99%

Section: System In Normal Formmentioning

confidence: 99%

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A Unifying Point of View on Output Feedback Designs

Andrieu

Praly

2007

IFAC Proceedings Volumes

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“…Consider transformed systems (9), (20), and (21). By the existence and continuity of solution, the closed-loop system state composed of ( ) = [ , ,̂] can be defined on a time interval [0, ), where > 0 may be a finite constant or infinity.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…Therefore, [16][17][18][19] proposed homogeneous domination method to overcome this obstacle. Based on the existing results, some special observers are proposed, such as dualobserver [20] and reduced-observer [21]. In practice, complex systems are usually composed of simple subsystems.…”

Section: Introductionmentioning

confidence: 99%

Global Output Feedback Stabilization for a Class of Nonlinear Cascade Systems

Liu

Sun

Meng

et al. 2018

Mathematical Problems in Engineering

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This paper focuses on the problem of global output feedback stabilization for a class of nonlinear cascade systems with timevarying output function. By using double-domination approach, an output feedback controller is developed to guarantee the global asymptotic stability of closed-loop system. The novel control strategy successfully constructs a unified Lyapunov function, which is suitable for both upper-triangular and lower-triangular systems. Finally, two numerical examples are provided to illustrate the effectiveness of a control strategy.

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Adaptive control for high‐order time‐delay uncertain nonlinear system and application to chemical reactor system

Sun

Xie

2014

Adaptive Control & Signal

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This paper focuses on global adaptive state-feedback stabilization for a class of high-order uncertain nonlinear systems with multiple delays. Restriction on system growth is relaxed. Two dynamic gains are introduced to deal with uncertainty and nonlinear growth rate of the system. Without precise information about timedelay being needed and only by like Lyapunov function, a new control strategy is presented based on homogeneous domination idea and two necessary transformations. As an application, the developed scheme is utilized to control design of a two-stage chemical reactor with delayed recycle streams.

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Recursive Observer Design, Homogeneous Approximation, and Nonsmooth Output Feedback Stabilization of Nonlinear Systems

Cited by 197 publications

References 26 publications

A Unifying Point of View on Output Feedback Designs

A Unifying Point of View on Output Feedback Designs

Global Output Feedback Stabilization for a Class of Nonlinear Cascade Systems

Adaptive control for high‐order time‐delay uncertain nonlinear system and application to chemical reactor system

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