A multi-alternative approach to control in open systems: Origins, current state, and future prospects

Podvalny, S. L.; Vasiljev, Eugeny

doi:10.1134/s0005117915080123

Cited by 33 publications

(9 citation statements)

References 18 publications

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“…This circumstance determines the possibility of the subsequent choice of one of the obtained solutions according to additional criteria that are not taken into account in the formal setting of the problem. In the general case, this possibility allows proceeding to the formulation of a multi-alternative synthesis problem [22][23][24][25][26].…”

Section: Methods Verification and Discussion Of Resultsmentioning

confidence: 99%

Modal synthesis of precision control systems

2020

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The problem of synthesis of precision modal control systems is considered. It is noted that a common approach to solving this problem is to consistently meet the requirements for the nature of the transient process and for the indicators of its accuracy. This approach to synthesis is faced with the need to make design decisions under incomplete conditions. In practice, this circumstance leads to obtaining synthesis results with undesirable deviations from technical requirements. When designing precision control systems, such deviations are unacceptable. To eliminate the difficulties that arise, a transition to interval methods for formulating and solving modal synthesis problems is proposed. The theoretical possibility of the interval approach is based on the excessive variety of possible placement of eigenvalues in the spectrum of the characteristic matrix of the system. An example of an interval synthesis of a system with a modal controller and additional output feedback is considered. The restrictions on the spectrum of the specified matrix are formed, which determine the fulfillment of the requirements for the monotonicity of the transient process, the regulation time and the accuracy of the response to harmonic influences. It is noted that the variety of solutions obtained creates the preconditions for a multi-alternative approach to modal synthesis of systems.

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Section: Methods Verification and Discussion Of Resultsmentioning

confidence: 99%

Modal synthesis of precision control systems

2020

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“…We have proposed a certain method to ensure the realizability of the corresponding optimal controllers. Note that there exist similar solution approaches [13,14] to the optimization problems of dynamic systems.…”

Section: Resultsmentioning

confidence: 99%

Degenerate problems of H-optimization for SISO LTI systems and realizability issues

Veremey

Eremeev

Zhabko

et al. 2015

Autom Remote Control

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“…An extensive list of publications is devoted to modeling and analysis of the main and emergency regimes of gas flow through pipelines [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. In works [6,10,11], the main modes of gas transportation are considered, and the need to take into account the non-isentropic and nonadiabatic nature of gas movement in the pipeline is indicated.…”

Section: Problem Statementioning

confidence: 99%

Predicting Accident Modes in a Gas Pipeline with Incomplete Parameters

Podvalny

Куцова²,

Vasiljev

2022

IOP Conf. Ser.: Earth Environ. Sci.

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The paper solves the problem of predicting the emergency states of gas pipelines in cases where the initial parameters of the pipeline are not fully known a priori and can change during operation. The coefficient of heat transfer from gas to the external medium and the coefficient of internal viscous friction of hydraulic resistance are considered as such parameters. The theoretical calculation of these coefficients with sufficient accuracy for practice is very difficult due to the significant uncertainty of the actual conditions of heat transfer along the route and the current state of the pipeline. To solve this problem, a mathematical model of a steady gas flow in a pipeline is proposed, which is based on the assumptions about the polytrophic nature of the gas, as well as the non-isentropic and nonadiabatic nature of its flow. Together with the model, a method for identifying undefined coefficients has been developed. The problem of building the corresponding computational procedures with unknown boundary conditions is solved. An analysis of emergency states of a gas pipeline for cases of complete rupture and partial destruction of its wall was carried out by means of numerical modeling. Examples of using the developed model for predicting emergency states of gas pipelines are given.

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A multi-alternative approach to control in open systems: Origins, current state, and future prospects

Cited by 33 publications

References 18 publications

Modal synthesis of precision control systems

Modal synthesis of precision control systems

Degenerate problems of H-optimization for SISO LTI systems and realizability issues

Predicting Accident Modes in a Gas Pipeline with Incomplete Parameters

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