Modern Control Systems

Dorf, Richard C.; Sinha, Ν.Κ.

doi:10.1109/tsmc.1981.4308749

Cited by 696 publications

(880 citation statements)

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“…which is the same functional expression as (14). Now suppose that a total time T is taken from (x 0 , y 0 ) to (x ′ 0 , y ′ 0 ), with a passage of time t 0 + t 1 from (x 0 , y 0 ) to (x 2 , y 2 ) and then N 1 − 1 segments each for the time t i = n i τ (with n i being a positive integer depending on the index i of the short segment) using (6) in the zig-zag part.…”

Section: Alternative Calculation Of the Determinantmentioning

confidence: 86%

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Micro-chaotic dynamics due to digital sampling in hybrid systems of Filippov type

Glendinning

Kowalczyk

2010

Physica D: Nonlinear Phenomena

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This paper describes a novel mechanism leading to the sudden onset of chaos that may occur in Filippov type systems when the switching decision is made at discrete times. Such systems can be thought of as models of switched digital control systems. Our findings are explained in detail using a representative planar example. Results are then extended to more general planar switched systems with digital sampling. It is conjectured that this mechanism is also typical of n-dimensional switched systems with digital sampling, and numerical investigations of a third order relay feedback system are presented to support this; the onset of chaos is triggered in the way which is equivalent to that revealed for the planar case.

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Section: Alternative Calculation Of the Determinantmentioning

confidence: 86%

“…System (40) is given in so-called observer canonical form [14]. The dynamics of (40) has been extensively studied in [15].…”

Section: Higher-dimensional Systemsmentioning

confidence: 99%

Micro-chaotic dynamics due to digital sampling in hybrid systems of Filippov type

Glendinning

Kowalczyk

2010

Physica D: Nonlinear Phenomena

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“…Lemma 1 Hurwitz stability criterion 27 For an nth-degree polynomial characteristic equation: system Eqn. (16) …”

Section: System Stability Conditionmentioning

confidence: 99%

Fractional Calculus Guidance Algorithm in a Hypersonic Pursuit-Evasion Game

et al. 2017

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<p class="p1">Aiming at intercepting a hypersonic weapon in a hypersonic pursuit-evasion game, this paper presents a fractional calculus guidance algorithm based on a nonlinear proportional and differential guidance law. First, under the premise of without increasing the complexity degree of the guidance system against a hypersonic manoeuvering target, the principle that the differential signal of the line-of-sight rate is more sensitive to the target manoeuver than the line-of-sight rate is employed as the guidelines to design the guidance law. A nonlinear proportional and differential guidance law (NPDG) is designed by using the differential derivative of the line-of-sight rate from a nonlinear tracking differentiator. By using the differential definition of fractional calculus, on the basis of the NPDG, a fractional calculus guidance law (FCG) is proposed. According to relative motions between the interceptor and target, the guidance system stability condition with the FCG is given and quantitative values are also proposed for the parameters of the FCG. Under different target manoeuver conditions and noisy conditions, the interception accuracy and robustness of these two guidance laws are analysed. Numerical experimental results demonstrate that the proposed guidance algorithms effectively reduce the miss distance against target manoeuvers. Compared with the NPDG, a stronger robustness of the FCG is shown under noisy condition.</p>

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“…There are simple methods for obtaining the frequency response function (FRF), H(jω), from a linear system identified in the time-domain (e.g. using Laplace or Z-transforms) [35]. For nonlinear systems, the process of obtaining the frequency response is more complicated than for linear systems but is similarly attractive for the purpose of analysis.…”

Section: Frequency-domain Analysismentioning

confidence: 99%

Control-focused, nonlinear and time-varying modelling of dielectric elastomer actuators with frequency response analysis

Jacobs

Wilson

Assaf

et al. 2015

Smart Mater. Struct.

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ReuseUnless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version -refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher's website. TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request. Control September 2014Abstract. Current models of dielectric elastomer actuators (DEAs) are mostly constrained to first principal descriptions that are not well suited to the application of control design due to their computational complexity. In this work we describe an integrated framework for the identification of control focused, data driven and time-varying DEA models that allow advanced analysis of nonlinear system dynamics in the frequency-domain. Experimentally generated input-output data (voltagedisplacement) was used to identify control-focused, nonlinear and time-varying dynamic models of a set of film-type DEAs. The model description used was the nonlinear autoregressive with exogenous input (NARX) structure. Frequency response analysis of the DEA dynamics was performed using generalised frequency response functions (GFRFs), providing insight and a comparison into the time-varying dynamics across a set of DEA actuators. The results demonstrated that models identified within the presented framework provide a compact and accurate description of the system dynamics. The frequency response analysis revealed variation in the time-varying dynamic behaviour of DEAs fabricated to the same specifications. These results suggest that the modelling and analysis framework presented here is a potentially useful tool for future work in guiding DEA actuator design and fabrication for application domains such as soft robotics.

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Modern Control Systems

Cited by 696 publications

References 0 publications

Micro-chaotic dynamics due to digital sampling in hybrid systems of Filippov type

Micro-chaotic dynamics due to digital sampling in hybrid systems of Filippov type

Fractional Calculus Guidance Algorithm in a Hypersonic Pursuit-Evasion Game

Control-focused, nonlinear and time-varying modelling of dielectric elastomer actuators with frequency response analysis

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