A new control approach using the inverse system

Godbole, S.; Smith, Colin

doi:10.1109/tac.1972.1100101

Cited by 15 publications

(2 citation statements)

References 3 publications

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“…It is known that c pd b pd ≠ 0 for almost all T . 19 In this case, we can derive a simple inverse system` with one sample delay, 20 and u p ( i ) and x p ( i +1) are expressed by…”

Section: The Stabilized Digital Inverse Systemmentioning

confidence: 99%

An approach to model-following controller design based on a stabilized digital inverse system

Tanaka

Inoue

Shibasaki

et al. 2015

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article explains our approach to designing a model-following controller based on a stabilized digital inverse system. We use an inter-sample auxiliary observation output from the model as an input to the inverse system. We then design the inverse system for minimum and non-minimum phase plants. In order to reposition the unstable poles of the inverse system on a stable region, we determine the optimal gain vector using a linear quadratic regulator. We confirm the effectiveness of our proposed method by performing simulations for several plants and conducting an experiment with a direct current motor.

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“…It is known that c pd b pd ≠ 0 for almost all T . 19 In this case, we can derive a simple inverse system` with one sample delay, 20 and u p ( i ) and x p ( i +1) are expressed by…”

Section: The Stabilized Digital Inverse Systemmentioning

confidence: 99%

An approach to model-following controller design based on a stabilized digital inverse system

Tanaka

Inoue

Shibasaki

et al. 2015

Proceedings of the Institution of Mechanical Engineers, Part I:

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“…Advanced techniques for estimating unpredictable disturbances have been proposed by some researchers, such as through the use of stabilized digital inverse systems [1]- [4]. By applying the inverse characteristic of the transfer function of the plant, reducing the influence of a disturbance is possible.…”

Section: Introuctionmentioning

confidence: 99%

Design of a Model-Following Controller with Stabilized Digital Inverse System in Closed Loop

Inoue¹,

Shibasaki²,

Tanaka³

et al. 2014

IJEEE

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In this paper, design of a model-following controller with stabilized digital inverse system in a closed loop is proposed. In this paper, the proposed inverse system is placed in front of the plant. Our model-following control system was developed using the above structure. However, when the relative degree of the transfer function for a continuous-time plant is greater than 3, the discrete-time system is often in the non-minimum phase. In addition, unstable zeros appear when the chosen sampling period is too short. To solve these problems, an auxiliary output is used in the design. We designed a closed-loop system to consider the robustness of the proposed controller. In addition, a parallel feedforward compensator is added in parallel with the plant  Index Terms-stabilized inverse system, multi-sampling rate, model-following control, parallel feedforward compensator R. Murakami received the B.

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