2013
DOI: 10.7763/ijiee.2013.v3.334
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A Modified Internal Model Control for an Unstable Plant with an Integrator in Continuous-Time System

Abstract: Abstract-In this paper, a design of a modified Internal Model Control for an unstable plant with an integrator in continuous-time system is proposed. The system becomes a stable system by stabilizing an unstable plant and it does not cause a steady-state error by an input side disturbance for an unstable plant with an integrator. We describe details of the proposed method including a design of stabilizing an unstable plant, a design of a disturbance compensator, and a design of whole system. In the simulation … Show more

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Cited by 6 publications
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“…The direct feedback path of the process, characterized by the gain K f , is used only for integral and some unstable processes, in order to convert the original process P into a stable proportional process P0 (with the gain K P 0 bounded and nonzero), called compensated process. The process compensation technique has been firstly used in [22,23] for unstable processes, and in [24] for stable integral processes. For stable proportional processes, the feedback gain K f is fixed to zero, so that the compensated process and the original process are one and the same, and the control variables C and U are identical.…”
Section: Introductionmentioning
confidence: 99%
“…The direct feedback path of the process, characterized by the gain K f , is used only for integral and some unstable processes, in order to convert the original process P into a stable proportional process P0 (with the gain K P 0 bounded and nonzero), called compensated process. The process compensation technique has been firstly used in [22,23] for unstable processes, and in [24] for stable integral processes. For stable proportional processes, the feedback gain K f is fixed to zero, so that the compensated process and the original process are one and the same, and the control variables C and U are identical.…”
Section: Introductionmentioning
confidence: 99%
“…This is possible because the model addresses the compensated process, which is always stable and of proportional type (with the steady-state gain finite and nonzero or, equivalently, with no pole and zero at the origin). Such a control technique based on process compensation has been introduced in [17] for unstable processes (under the name of "modified IMC"), in [18] for integral-type processes, and in [19] for unstable integral processes.…”
Section: Introductionmentioning
confidence: 99%