Global transformations of nonlinear systems

Hunt, L. R.; Su, Renjeng; Meyer, George E.

doi:10.1109/tac.1983.1103137

Cited by 539 publications

(135 citation statements)

References 15 publications

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“…One possible approach is to attempt to find a nonlinear transformation that can place they system in the form of (3.1). This is in fact a current research topic in which t~e use of Lie algebra has been employed to find such transformations ( [13,[81][82][83][84][85] …”

Section: System Formmentioning

confidence: 99%

A control system design technique for nonlinear discrete time systems

DeLonga¹

1989

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Section: System Formmentioning

confidence: 99%

A control system design technique for nonlinear discrete time systems

DeLonga¹

1989

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“…The theory of DI was initially formalized in (Su, 1982) and (Hunt et al, 1983), and its first reported application to spacecraft attitude control problem is due to (Dwyer III, 1984). The methodology is widely accepted among control system practitioners because it substantially facilitates control system design.…”

Section: Introductionmentioning

confidence: 99%

Inertia-Independent Generalized Dynamic Inversion Control of Spacecraft Attitude Maneuvers

Bajodah¹

2011

Advances in Spacecraft Technologies

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“…By means of nonlinear coordinate transformations and nonlinear state feedback, the nonlinear biological model may be transformed into an equivalent linear model and linear controller design techniques may then be utilized. Both input-output linearization [19], [20] or state-space linearization [21], [22] have been employed. Several exact linearization techniques have been proposed for the control of fermentation processes.…”

Section: Introductionmentioning

confidence: 99%

Set-point regulation of an anaerobic digestion process with bounded output feedback

Antonelli

Harmand

Steyer

et al. 2003

IEEE Trans. Contr. Syst. Technol.

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Abstract-This work addresses the robust output feedback tracking problem for a biological wastewater treatment process in the presence of input constraints and limited knowledge on the process parameters. The considered process is an anaerobic up-flow fixed bed biological reactor within a semi-industrial scale pilot plant for the treatment of industrial wine distillery wastewater. A mathematical model describing the dynamic behavior of the biological process is considered and nonlinear control techniques are used to design a bounded output feedback control law. Local asymptotic stability and local set-point tracking of the resulting closed-loop system is proved when the dilution rate is selected as the manipulated variable and the output methane gas flow-rate as the measured and controlled variable. Finally, the implementation of the nonlinear output feedback control law is described and experimental results are reported. It is observed that the proposed controller yields set-point regulation, rejects disturbances and preserves stability despite uncertainty on the kinetic parameters.Index Terms-Bounded output feedback control, continuous biological reactors, input constraints, waste-water treatment plants (WWTPs).

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Global transformations of nonlinear systems

Cited by 539 publications

References 15 publications

A control system design technique for nonlinear discrete time systems

A control system design technique for nonlinear discrete time systems

Inertia-Independent Generalized Dynamic Inversion Control of Spacecraft Attitude Maneuvers

Set-point regulation of an anaerobic digestion process with bounded output feedback

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