Finite settling time stabilisation for multivariable discrete-time systems: a polynomial equation approach

Milonidis, E.; Karcanias, N.

doi:10.1080/00207170600865341

Cited by 4 publications

(6 citation statements)

References 12 publications

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“…For simplicity we assume v = 1. A more general scheme would include input disturbances, but this case is not considered in this work (see, e.g., [7]). …”

Section: Ripple-free Deadbeat Controlmentioning

confidence: 99%

Optimal design of ripple-free deadbeat controllers based on an ITSE index

Vargas

Salgado

Silva

2010

18th Mediterranean Conference on Control and Automation, MED'10

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This paper describes an optimal ripple-free deadbeat controller for SISO linear sampled-data plant models. A step reference is assumed and the deadbeat horizon is considered to be one of the designer's choices. The cost function to be minimized is a cumulative index that penalizes the timeweighted squared tracking error (i.e., it corresponds to an ITSE cost term). The corresponding optimization problem turns out to be convex, leading to closed form solutions. Examples are included to illustrate the main results.

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“…For simplicity we assume v = 1. A more general scheme would include input disturbances, but this case is not considered in this work (see, e.g., [7]). …”

Section: Ripple-free Deadbeat Controlmentioning

confidence: 99%

Optimal design of ripple-free deadbeat controllers based on an ITSE index

Vargas

Salgado

Silva

2010

18th Mediterranean Conference on Control and Automation, MED'10

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“…Nonetheless, if the focus is in the response to reference signals or output disturbances, then only the poles at the origin matter and the ripple-free deadbeat response is achieved. The problem of obtaining a deadbeat response even for input disturbances is more general than the one treated in this paper and the reader is referred to [12] for recent results on the topic.…”

Section: Proofmentioning

confidence: 99%

“…If we are interested in achieving a minimum horizon ripple-free deadbeat response, then the associated controller is unique and can be obtained by choosing ℓ = 0. Therefore D 0 (z) = 0 is the only feasible choice for the free polynomial in (12). However, if we allow larger deadbeat horizons, additional degrees of freedom appear in the controller.…”

Section: Proofmentioning

confidence: 99%

“…In this section we provide a methodology to design ripple-free deadbeat controllers that achieve good transient performance. The main issue to solve this problem is how to choose the polynomial D ℓ (z) in (12), in such a way that an appropriate transient response is achieved. Following a similar idea to that in [1], we tackle this problem by choosing a polynomial D ℓ (z) that minimizes a performance index representative of some standard control objectives.…”

Section: Optimal Controller Designmentioning

confidence: 99%

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H2 optimal ripple-free deadbeat controller design

2007

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“…zero steady state error in finite time) for a family of signals is presented. All proofs are omitted; they can be found in [4] and [9]. 1 2 , e e or 1 2 , y y settle to a new steady state value in finite time.…”

Section: Problem Formulationmentioning

confidence: 99%

Finite settling time stabilisation: the robust SISO case

Milonidis¹,

Kostarigka²,

Karcanias³

2011

International Journal of Control

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent repository link AbstractThis paper deals with the problem of robustness to multiplicative plant perturbations for the case of Finite Settling Time Stabilization (FSTS) of SISO, linear, discrete-time systems. FSTS is a generalization of the deadbeat control and as in the case of deadbeat control the main feature of FSTS is the placement of all closed-loop poles at the origin of the z-plane. This makes FSTS sensitive to plant perturbations hence, the need of robust design. An efficient robustness index is introduced and the problem is reduced to a finite linear program where all the benefits of the simplex method, such as effectiveness, efficiency and ability to provide complete solution to the optimization problem, can be exploited.

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Finite settling time stabilisation for multivariable discrete-time systems: a polynomial equation approach

Cited by 4 publications

References 12 publications

Optimal design of ripple-free deadbeat controllers based on an ITSE index

Optimal design of ripple-free deadbeat controllers based on an ITSE index

H2 optimal ripple-free deadbeat controller design

Finite settling time stabilisation: the robust SISO case

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