Transient properties of type m continuous time scalar systems

Barra, Adil; Fernandez, Arran

doi:10.1016/0005-1098(94)90018-3

Cited by 9 publications

(3 citation statements)

References 1 publication

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“…From results of this paper, Theorem 3.4 is concluded. It is worth mentioning that Theorems 3.4 and Theorem 3.5 are generalizations of the results presented in [30] for integer-order control systems with type numbers not less than 2.…”

Section: Theorem 33 ([57]) Suppose That the Transfer Function T (S)mentioning

confidence: 69%

Time response analysis of fractional-order control systems: A survey on recent results

Tavazoei

2014

fcaa

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The aim of this paper is to provide a survey on the recently obtained results which are useful in time response analysis of fractional-order control systems. In this survey, at first some results on error signal analysis in fractional-order control systems are presented. Then, some previously obtained results which are helpful for system output analysis in fractionalorder control systems are summarized. In addition, some results on the analysis of the control signal and the system response to the load disturbances in fractional-order control systems are reviewed.MSC 2010 : Primary 93C05; Secondary 34A08, 26A33, 37N35

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Section: Theorem 33 ([57]) Suppose That the Transfer Function T (S)mentioning

confidence: 69%

Time response analysis of fractional-order control systems: A survey on recent results

Tavazoei

2014

fcaa

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“…For example, the steady-state error in tracking ramp reference inputs is reduced by increasing the steady-state velocity error constant. But as a trade-off between transient response performance and steady-state accuracy (Leon de la Barra and Fernandez, 1993), reducing the ramp steady-state error degrades the transient response for the step reference inputs. For instance among the control systems of Table 1, the control system with minimum steady-state error for ramp reference inputs has the worst transient step response in comparison to the other designed control systems (see Figures 8 and 9).…”

Section: Discussionmentioning

confidence: 99%

On a generalized fractional-order LTI compensator: exact formulas for compensation at two different frequencies

Sayyaf

Tavazoei

2016

Journal of Vibration and Control

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Nowadays, design and tuning of controllers with predefined structures are among the most popular topics in control system theory. During the last decade, many studies have focused on designing fixed-structure fractional-order compensators. This paper presents a generalized version of fractional-order compensators to achieve the required magnitudes and phases at two given frequencies (for example, to achieve desired phase and gain margins with adjustable cross frequencies). In this generalization, at first some basic analysis of the phase behaviour of this introduced type of fractional-order compensators is presented. Also, exact formulas are found for designing this family of compensators in order to provide the aforementioned control objective. Finally, a numerical example is presented to confirm the effectiveness of the proposed design method in control systems.

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“…Начиная с 70-х годов ХХ в. проведены многочисленные исследования в области корневых подходов к синтезу систем управления как отечественными, так и зарубежными специалистами. Ряд работ посвящен разработке подходов, обеспечивающих технологические переходные процессы как с некоторым минимально допустимым значением перерегулирования [2,3], так и без перерегулирования, в основе которых лежат как алгебраические критерии, так и частотные [4][5][6][7]. В работе [8] получены правила взаимного расположения нулей и полюсов передаточной функции замкнутой системы управления, гарантирующие монотонный переходный процесс.…”

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PID-controller tuning approach guaranteeing non-overshooting step response

Tsavnin¹,

Efimov²,

Zamyatin³

2019

Proceedings of TUSUR

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Корневой подход к синтезу параметров ПИД-регулятора, гарантирующий отсутствие перерегулирования в переходной характеристике системы управления Предложен метод устранения в системе перерегулирования за счет выбора настроечных коэффициентов классического ПИД-регулятора таким образом, чтобы обеспечить вещественные значения для полюсов передаточной функции замкнутой системы управления с колебательным объектом второго порядка. Получены аналитические выражения, определяющие допустимые диапазоны значений настроечных параметров, было проведено моделирование системы управления для произвольного объекта в среде Matlab. Ключевые слова: система управления, ПИД-регулятор, нули, полюса, перерегулирование.

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Transient properties of type m continuous time scalar systems

Cited by 9 publications

References 1 publication

Time response analysis of fractional-order control systems: A survey on recent results

Time response analysis of fractional-order control systems: A survey on recent results

On a generalized fractional-order LTI compensator: exact formulas for compensation at two different frequencies

PID-controller tuning approach guaranteeing non-overshooting step response

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