TY - JOUR
T1 - A Graphical Design Approach for Two-Input Single-Output Systems Exploiting Plant/Controller Alignment
T2 - Design and Application
AU - Weir, Nathan A.
AU - Alleyne, Andrew G.
N1 - Funding Information:
• Sandia National Laboratories is a multimission laboratory managed and operated by National Technology and Engi-neering Solutions of Sandia, LLC, a wholly owned subsidi-ary of Honeywell International, Inc., for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-NA-0003525.
Publisher Copyright:
© 2021 by ASME.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - 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. 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.
AB - 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. 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.
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U2 - 10.1115/1.4044717
DO - 10.1115/1.4044717
M3 - Article
AN - SCOPUS:85083916948
SN - 0022-0434
VL - 142
JO - Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME
JF - Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME
IS - 1
M1 - 011006
ER -