A measure for control relevant nonlinearity

Stack, Alexander J.; Doyle, Francis J.

doi:10.1109/acc.1995.531290

Cited by 13 publications

(6 citation statements)

References 8 publications

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“…The nonlinearity measure, which was first proposed by Desoer and Wang [13], has attracted much attention in the past years. A lot of papers on the definition of a nonlinearity measure have been published [13][14][15][16][17], but these definitions are difficult to calculate in practice.…”

Section: Non-linearity Measurementioning

confidence: 99%

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Control system design and experiment of needle-type gas regulating system for ducted rocket

Niu

Bao

Chang

et al. 2009

Proceedings of the Institution of Mechanical Engineers, Part G:

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The control system design and experimental investigation of the gas regulating system for a ducted rocket are studied in this article. First, the dynamic model of the gas regulating system for the ducted rocket was established, and comparison of the two regulating modes regarding non-linearity and uncertainty was done. In contrast with the area-regulated mode, the non-linearity of the pressure-balanced mode is smaller and the robustness is stronger. Then, the study of the the gas control system is performed based on the model established in this article. The introduction of high-gain feedback suppresses the effects of non-linearity and uncertainty in the pneumatic servo system. Also, a proportional-integral controller for the gas regulating system based on linear matrix inequality is designed. Lastly, an experimental investigation of the gas flow control system is done to verify the validity of the gas control system. The experimental result shows that the gas flow control system has good performance. The turndown ratio of mass flow through the control valve was up to 3.7:1.

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Section: Non-linearity Measurementioning

confidence: 99%

“…Applying linearization and the Laplace transform to equation (14), the transfer function between the pressure in the valve head chamber and the drive current of the servo valve can be written as…”

Section: Modelling Of the Pneumatic Servo Systemmentioning

confidence: 99%

Control system design and experiment of needle-type gas regulating system for ducted rocket

Niu

Bao

Chang

et al. 2009

Proceedings of the Institution of Mechanical Engineers, Part G:

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show abstract

“…For this reason, the last three decades have been spent studying approximate linearization via feedback. Approximate linearization was proposed in the literature based on four streams by Guarabassi and Savaresi [2001]: partial linearization (see Krener [1984], Reboulet and Champetier [1984], Rugh [1984]), linearization-oriented modeling (see Guardabassi et al [1986], Hauser [1991]), nonlinearity measures (see Desoer and Wang [1980], Stack and III [1995]) and linear model matching (see Allgöwer et al [1994], Isermann et al [1997]).…”

Section: Introductionmentioning

confidence: 99%

Switching Piecewise Bilinear Control of Nonlinear Systems with Singularities

Taniguchi

Eciolaza

Sugeno

2014

IFAC Proceedings Volumes

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“…(19), is computed using the notion of variance gain (Schoukens et al, 2001;Stack and Doyle, 1995). The approximate variance gain is given by …”

Section: Frequency Domain Simulationmentioning

confidence: 99%

A new variable stiffness suspension system: passive case

2013

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Abstract. This paper presents the design, analysis, and experimental validation of the passive case of a variable stiffness suspension system. The central concept is based on a recently designed variable stiffness mechanism. It consists of a horizontal control strut and a vertical strut. The main idea is to vary the load transfer ratio by moving the location of the point of attachment of the vertical strut to the car body. This movement is controlled passively using the horizontal strut. The system is analyzed using an L 2 -gain analysis based on the concept of energy dissipation. The analyses, simulation, and experimental results show that the variable stiffness suspension achieves better performance than the constant stiffness counterpart. The performance criteria used are; ride comfort, characterized by the car body acceleration, suspension deflection, and road holding, characterized by tire deflection.

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A measure for control relevant nonlinearity

Cited by 13 publications

References 8 publications

Control system design and experiment of needle-type gas regulating system for ducted rocket

Control system design and experiment of needle-type gas regulating system for ducted rocket

Switching Piecewise Bilinear Control of Nonlinear Systems with Singularities

A new variable stiffness suspension system: passive case

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