A Graphical Design Approach for Two-Input Single-Output Systems Exploiting Plant/Controller Alignment: Design and Application

doi:10.1115/1.4044717

This content will become publicly available on October 16, 2020

Title: A Graphical Design Approach for Two-Input Single-Output Systems Exploiting Plant/Controller Alignment: Design and Application

Abstract

Due to the unique structure of two-input single-output (TISO) feedback systems, several closed-loop properties can be characterized using the concepts of plant and controller “directions” and “alignment.” Poor plant/controller alignment indicates significant limitations in terms of closed-loop performance. In general, it is desirable to design a controller that is well aligned with the plant in order to minimize the size of the closed-loop sensitivity functions and closed-loop interactions. Although the concept of alignment can be a useful analysis tool for a given plant/controller pair, it is not obvious how a controller should be designed to achieve good alignment. We present a new controller design approach, based on the PQ method (Schroeck et al., 2001, “On Compensator Design for Linear Time invariant Dual-Input Single-Output Systems,” IEEE/ASME Trans. Mechatronics, 6(1), pp. 50–57), which explicitly incorporates knowledge of alignment into the design process. Here, this is accomplished by providing graphical information about the alignment angle on the Bode plot of the PQ frequency response. We show the utility of this approach through a design example.

Authors:

Weir, Nathan A. ^[1]; Alleyne, Andrew G. ^[2]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Univ. of Illinois at Urbana-Champaign, Urbana, IL (United States)

Publication Date:: 2019-10-16

Research Org.:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Org.:: Sandia University Programs; USDOE

OSTI Identifier:: 1570278

Report Number(s):: SAND-2019-10667J
Journal ID: ISSN 0022-0434; 679243

Grant/Contract Number:: AC04-94AL85000

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Dynamic Systems, Measurement, and Control

Additional Journal Information:: Journal Volume: 142; Journal Issue: 1; Journal ID: ISSN 0022-0434

Publisher:: ASME

Country of Publication:: United States

Language:: English

Subject:: 21 SPECIFIC NUCLEAR REACTORS AND ASSOCIATED PLANTS

Citation Formats


                    Weir, Nathan A., and Alleyne, Andrew G. A Graphical Design Approach for Two-Input Single-Output Systems Exploiting Plant/Controller Alignment: Design and Application.  United States: N. p., 2019. 
        Web.  doi:10.1115/1.4044717.

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                    Weir, Nathan A., & Alleyne, Andrew G. A Graphical Design Approach for Two-Input Single-Output Systems Exploiting Plant/Controller Alignment: Design and Application.  United States.  doi:10.1115/1.4044717.

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                    Weir, Nathan A., and Alleyne, Andrew G. Wed .  
        "A Graphical Design Approach for Two-Input Single-Output Systems Exploiting Plant/Controller Alignment: Design and Application".  United States.  doi:10.1115/1.4044717.

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@article{osti_1570278,

  title        = {A Graphical Design Approach for Two-Input Single-Output Systems Exploiting Plant/Controller Alignment: Design and Application},

  author       = {Weir, Nathan A. and Alleyne, Andrew G.},

  abstractNote = {Due to the unique structure of two-input single-output (TISO) feedback systems, several closed-loop properties can be characterized using the concepts of plant and controller “directions” and “alignment.” Poor plant/controller alignment indicates significant limitations in terms of closed-loop performance. In general, it is desirable to design a controller that is well aligned with the plant in order to minimize the size of the closed-loop sensitivity functions and closed-loop interactions. Although the concept of alignment can be a useful analysis tool for a given plant/controller pair, it is not obvious how a controller should be designed to achieve good alignment. We present a new controller design approach, based on the PQ method (Schroeck et al., 2001, “On Compensator Design for Linear Time invariant Dual-Input Single-Output Systems,” IEEE/ASME Trans. Mechatronics, 6(1), pp. 50–57), which explicitly incorporates knowledge of alignment into the design process. Here, this is accomplished by providing graphical information about the alignment angle on the Bode plot of the PQ frequency response. We show the utility of this approach through a design example.},

  doi          = {10.1115/1.4044717},

  journal      = {Journal of Dynamic Systems, Measurement, and Control},

  number       = 1,

  volume       = 142,

  place        = {United States},

  year         = {2019},

  month        = {10}

}

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Works referenced in this record:

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Similar Records

This content will become publicly available on October 16, 2020

Title: A Graphical Design Approach for Two-Input Single-Output Systems Exploiting Plant/Controller Alignment: Design and Application

Abstract

Citation Formats

Modified Bode Plots for Robust Performance in SISO Systems With Structured and Unstructured Uncertainties journal, March 2012

Some properties of minimum phase systems and "Squared-down" systems journal, February 1983

Some advances in loop shaping controller design with applications to disk drives journal, March 2001

Dynamic Modeling and Control of a Piezo-Electric Dual-Stage Tape Servo Actuator journal, July 2009

An integral constraint for single input two output feedback systems journal, November 2001

Properties of single input, two output feedback systems journal, January 1999

On compensator design for linear time-invariant dual-input single-output systems journal, March 2001

Squaring down by static and dynamic compensators journal, April 1988

Modified Bode Plots for Robust Performance in SISO Systems With Structured and Unstructured Uncertainties
journal, March 2012

Some properties of minimum phase systems and "Squared-down" systems
journal, February 1983

Some advances in loop shaping controller design with applications to disk drives
journal, March 2001

Dynamic Modeling and Control of a Piezo-Electric Dual-Stage Tape Servo Actuator
journal, July 2009

An integral constraint for single input two output feedback systems
journal, November 2001

Properties of single input, two output feedback systems
journal, January 1999

On compensator design for linear time-invariant dual-input single-output systems
journal, March 2001

Squaring down by static and dynamic compensators
journal, April 1988