Design of non-overshooting feedback control systems

Deodhare, Girish; Vidyasagar, M.

doi:10.1109/cdc.1990.203934

Cited by 34 publications

(14 citation statements)

References 8 publications

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“…These poles are referred to as "offending" poles of the plant in [3]. In [3, 161, it is suggested that a minor loop be built around the plant so as to stabilize it and subsequently, to circumvent this limitation.…”

Section: Necessary Conditions For a System To Be Sign Invariantmentioning

confidence: 99%

Controller synthesis for sign invariant impulse response

Darbha

Bhattacharyya²

2002

Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)

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In this paper, we consider the problem of designing controllers for discrete-time LTI plants that render the closed loop impulse response non-negative. Such systems have a non-undershooting and nonovershooting step response.We first show that the impulse response of any discrete-time LTI system changes sign at least "r" times if it has "r" real, positive zeros outside a circular disk centered at the origin and containing all its poles. We then show that a necessary and sufficient condition on the plant for the existence of a compensator that makes the closed loop impulse response sign invariant is that there be no real, positive, nonminimum phase plant zeros. Finally, we show, by construction, how such a compensator may be synthesized when the plant does satisfy the existence condition.

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Section: Necessary Conditions For a System To Be Sign Invariantmentioning

confidence: 99%

Controller synthesis for sign invariant impulse response

Darbha

Bhattacharyya²

2002

Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)

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“…The analysis of linear time invariant systems exhibiting a nonovershooting step response (or a nonnegative impulse response) has been well studied (see [1]- [3]). The design of controllers to achieve a nonovershooting response for a variety of reference inputs has also been investigated for linear systems (see [4]- [8]). However, nonlinear systems have received almost no attention.…”

Section: Technical Notes and Correspondence I Introductionmentioning

confidence: 99%

Nonovershooting Control of Strict-Feedback Nonlinear Systems

Krstić

Bement

2006

IEEE Trans. Automat. Contr.

130

114

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A means of obtaining a nonovershooting output tracking response for single-input-single-output (SISO) strict-feedback nonlinear systems is introduced. With the proposed method, arbitrary reference trajectories can be tracked "from below" for arbitrary initial conditions (as long as the initial value of the plant output is strictly below the initial value of the reference trajectory). In addition, a design is presented for "approximately" nonovershooting control in the presence of disturbances, where the amount of overshoot can be made arbitrarily small by appropriately choosing the control gains. Finally, an output-feedback example shows the ability of our approach to ensure arbitrarily small overshoot, where the overshoot is caused by the initial condition of the unmeasured part of the state.

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“…Instead, the theory of conjugate convex functionals is used. Deodhare and Vidyasagar [2] have recently examined the problem of designing overshoot bounded controllers, and give good reasons for adopting a design strategy that does not concentrate solely on overshoot reduction. As pointed out in [2], controllers designed explicitly to achieve overshoot reduction often exhibit undesirable behavior, such as sluggishness or excessive undershoot.…”

Section: Introductionmentioning

confidence: 99%

“…Deodhare and Vidyasagar [2] have recently examined the problem of designing overshoot bounded controllers, and give good reasons for adopting a design strategy that does not concentrate solely on overshoot reduction. As pointed out in [2], controllers designed explicitly to achieve overshoot reduction often exhibit undesirable behavior, such as sluggishness or excessive undershoot. For this reason, the design strategy adopted in [2] focuses on minimization of the I , norm of 4, with 4 constrained in a manner that restricts the overshoot to some predetermined value.…”

Section: Introductionmentioning

confidence: 99%

“…As pointed out in [2], controllers designed explicitly to achieve overshoot reduction often exhibit undesirable behavior, such as sluggishness or excessive undershoot. For this reason, the design strategy adopted in [2] focuses on minimization of the I , norm of 4, with 4 constrained in a manner that restricts the overshoot to some predetermined value.…”

Section: Introductionmentioning

confidence: 99%

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Minimum overshoot design for SISO discrete-time systems

Hill

Halpern²

1993

IEEE Trans. Automat. Contr.

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In this note, we study the problem of designing a controller to minimize the maximum negative error due to a specific bounded input. It is found that the solution can be obtained hy solving an infinite linear programing problem. In the special case of a step input, a simple analytical formula for minimum overshoot is derived for a plant with one unstable pole and one nonminimum phase zero. The solution technique has potential application to other control problems, which seek to minimize quantities not directly representable as a norm.

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Design of non-overshooting feedback control systems

Cited by 34 publications

References 8 publications

Controller synthesis for sign invariant impulse response

Controller synthesis for sign invariant impulse response

Nonovershooting Control of Strict-Feedback Nonlinear Systems

Minimum overshoot design for SISO discrete-time systems

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