比例積分補償器の出力を時変係数とする定常発振制御系の安定性解析  [in Japanese] Stability Analysis of Constant Oscillation Control System of which Proportional-Integral Controller's Output is used as Time-Varying Gain  [in Japanese]

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Author(s)

Abstract

<p>In order to estimate the critical temperature ratio (CTR) of thermoacoustic engines experimentally, a constant oscillation control method which regulates the pressure amplitude to a reference (constant) value has been proposed: the control system has a non-negative state variable of the pressure amplitude; the control law is of a proportional-integral (PI) controller driven by the tracking error; the output of the PI controller is utilized as a time-varying gain in driving signal of a loudspeaker to absorb or inject a power in the acoustic tube. A condition on PI gains for the equilibrium point to be asymptotically stable has been derived, which was agreed with the stability condition in experiments. In this paper, we focus on the fact that the closed-loop system with the zero P-gain becomes a marginal stable system of which differential equation is in separation of variables, a Lyapunov function candidate is constructed by modifying the initial-condition dependent constant of the system. As a result, global asymptotic stability is shown on the basis of the Lyapunov stability criterion without linear approximation.</p>

Journal

  • Transactions of the Institute of Systems, Control and Information Engineers

    Transactions of the Institute of Systems, Control and Information Engineers 31(11), 385-391, 2018

    THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)

Codes

  • NII Article ID (NAID)
    130007594506
  • NII NACSIS-CAT ID (NCID)
    AN1013280X
  • Text Lang
    JPN
  • ISSN
    1342-5668
  • NDL Article ID
    029326604
  • NDL Call No.
    Z14-195
  • Data Source
    NDL  J-STAGE 
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