Control method for physical systems and devices

Guckenheimer, John

Title: Control method for physical systems and devices

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Abstract

A control method for stabilizing systems or devices that are outside the control domain of a linear controller is provided. When applied to nonlinear systems, the effectiveness of this method depends upon the size of the domain of stability that is produced for the stabilized equilibrium. If this domain is small compared to the accuracy of measurements or the size of disturbances within the system, then the linear controller is likely to fail within a short period. Failure of the system or device can be catastrophic: the system or device can wander far from the desired equilibrium. The method of the invention presents a general procedure to recapture the stability of a linear controller, when the trajectory of a system or device leaves its region of stability. By using a hybrid strategy based upon discrete switching events within the state space of the system or device, the system or device will return from a much larger domain to the region of stability utilized by the linear controller. The control procedure is robust and remains effective under large classes of perturbations of a given underlying system or device.

Inventors:

Guckenheimer, John ^[1]

Ithaca, NY

Issue Date:: 1997-01-01

Research Org.:: Cornell Univ., Ithaca, NY (United States)

OSTI Identifier:: 871065

Patent Number(s):: 5650927

Assignee:: Cornell Research Foundation, Inc. (Ithaca, NY)

Patent Classifications (CPCs):: G - PHYSICS G05 - CONTROLLING G05B - CONTROL OR REGULATING SYSTEMS IN GENERAL

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G - PHYSICS G05 - CONTROLLING G05B - CONTROL OR REGULATING SYSTEMS IN GENERAL
G05B13/0255 - {the criterion being a time-optimal performance criterion}

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DOE Contract Number:: FG02-93ER25164

Resource Type:: Patent

Country of Publication:: United States

Language:: English

Subject:: control; method; physical; systems; devices; stabilizing; outside; domain; linear; controller; provided; applied; nonlinear; effectiveness; depends; size; stability; produced; stabilized; equilibrium; compared; accuracy; measurements; disturbances; fail; period; failure; device; catastrophic; wander; desired; procedure; recapture; trajectory; leaves; region; hybrid; strategy; based; discrete; switching; events; space; return; larger; utilized; robust; remains; effective; perturbations; underlying; physical systems; control method; discrete switching; nonlinear systems; /700/

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                    Guckenheimer, John. Control method for physical systems and devices.  United States: N. p., 1997. 
        Web.

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                    Guckenheimer, John. Control method for physical systems and devices.  United States.

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                    Guckenheimer, John. Wed .  
        "Control method for physical systems and devices".  United States.  https://www.osti.gov/servlets/purl/871065.

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@article{osti_871065,

  title        = {Control method for physical systems and devices},

  author       = {Guckenheimer, John},

  abstractNote = {A control method for stabilizing systems or devices that are outside the control domain of a linear controller is provided. When applied to nonlinear systems, the effectiveness of this method depends upon the size of the domain of stability that is produced for the stabilized equilibrium. If this domain is small compared to the accuracy of measurements or the size of disturbances within the system, then the linear controller is likely to fail within a short period. Failure of the system or device can be catastrophic: the system or device can wander far from the desired equilibrium. The method of the invention presents a general procedure to recapture the stability of a linear controller, when the trajectory of a system or device leaves its region of stability. By using a hybrid strategy based upon discrete switching events within the state space of the system or device, the system or device will return from a much larger domain to the region of stability utilized by the linear controller. The control procedure is robust and remains effective under large classes of perturbations of a given underlying system or device.},

  doi          = {},

  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {1997},

  month        = {1}

}

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