PL447205A1 - Sposób sterowania obiektem regulacji - Google Patents

Sposób sterowania obiektem regulacji

Info

Publication number
PL447205A1
PL447205A1 PL447205A PL44720523A PL447205A1 PL 447205 A1 PL447205 A1 PL 447205A1 PL 447205 A PL447205 A PL 447205A PL 44720523 A PL44720523 A PL 44720523A PL 447205 A1 PL447205 A1 PL 447205A1
Authority
PL
Poland
Prior art keywords
signal
control
matrix
control object
output signal
Prior art date
Application number
PL447205A
Other languages
English (en)
Inventor
Zenon Zwierzewicz
Arkadiusz Nerć
Original Assignee
Politechnika Morska W Szczecinie
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Politechnika Morska W Szczecinie filed Critical Politechnika Morska W Szczecinie
Priority to PL447205A priority Critical patent/PL447205A1/pl
Publication of PL447205A1 publication Critical patent/PL447205A1/pl

Links

Classifications

    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B11/00Automatic controllers
    • G05B11/01Automatic controllers electric
    • G05B11/36Automatic controllers electric with provision for obtaining particular characteristics, e.g. proportional, integral, differential
    • G05B11/42Automatic controllers electric with provision for obtaining particular characteristics, e.g. proportional, integral, differential for obtaining a characteristic which is both proportional and time-dependent, e.g. P. I., P. I. D.
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B13/00Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
    • G05B13/02Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
    • G05B13/0205Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric not using a model or a simulator of the controlled system
    • G05B13/024Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric not using a model or a simulator of the controlled system in which a parameter or coefficient is automatically adjusted to optimise the performance
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B13/00Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
    • G05B13/02Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
    • G05B13/0265Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric the criterion being a learning criterion

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  • Engineering & Computer Science (AREA)
  • Artificial Intelligence (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Automation & Control Theory (AREA)
  • Health & Medical Sciences (AREA)
  • Computer Vision & Pattern Recognition (AREA)
  • Evolutionary Computation (AREA)
  • Medical Informatics (AREA)
  • Software Systems (AREA)
  • Feedback Control In General (AREA)

Abstract

Sposób sterowania obiektem regulacji, polegający na zastosowaniu regulatora typu PID, w którym sygnał wyjściowy z obiektu regulacji poddaje się różniczkowaniu, porównaniu z sygnałem zadanym, charakteryzuje się tym, że sygnał wyjściowy z obiektu regulacji porównuje się z sygnałem wartości zadanej uzyskując ich różnicę, którą wzmacnia się jednocześnie z pochodną sygnału wyjściowego z obiektu regulacji stosując macierz wzmocnień uzyskaną z algorytmu LQR zgodnie z równaniem Ky=KX2(CX2)-1. K stanowi macierz wzmocnień dla pomocniczego problemu LQR, z dynamiką kanoniczną oraz standardowym kryterium J(u)=ʃ0∞(xTQx+uTRu)dt. Wektor x stanowi stan układu, u to wektor sterowania obiektem regulacji, natomiast Q i R stanowią macierze kryterialne. X2 stanowi macierz złożoną z dwóch wektorów własnych macierzy Ac=(A—BK). C stanowi macierz definiującą sztucznie wprowadzone dodatkowe wyjście. A i B stanowią znane macierze układu kanonicznego. Po wzmocnieniu uzyskuje się dwa sygnały - sygnał przesterowania i sygnał sterowania głównego, zaś sygnał sterowania głównego sumuje się z całką sygnału przesterowania uzyskując sygnał sterowania obiektem regulacji.
PL447205A 2023-12-21 2023-12-21 Sposób sterowania obiektem regulacji PL447205A1 (pl)

Priority Applications (1)

Application Number Priority Date Filing Date Title
PL447205A PL447205A1 (pl) 2023-12-21 2023-12-21 Sposób sterowania obiektem regulacji

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
PL447205A PL447205A1 (pl) 2023-12-21 2023-12-21 Sposób sterowania obiektem regulacji

Publications (1)

Publication Number Publication Date
PL447205A1 true PL447205A1 (pl) 2025-06-23

Family

ID=96092936

Family Applications (1)

Application Number Title Priority Date Filing Date
PL447205A PL447205A1 (pl) 2023-12-21 2023-12-21 Sposób sterowania obiektem regulacji

Country Status (1)

Country Link
PL (1) PL447205A1 (pl)

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0435339A2 (en) * 1989-12-28 1991-07-03 Idemitsu Kosan Company Limited Compound control method for controlling a system
EP0974880A1 (de) * 1998-07-20 2000-01-26 Electrowatt Technology Innovation AG Selbstadaptiver PID-Regler
DE10302585A1 (de) * 2003-01-22 2004-08-12 Endress + Hauser Wetzer Gmbh + Co Kg Verfahren zum Einstellen eines Reglers
EP2715458B1 (en) * 2011-05-27 2018-11-14 Politechnika Swietokrzyska Tuning method of pi and pid controllers

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0435339A2 (en) * 1989-12-28 1991-07-03 Idemitsu Kosan Company Limited Compound control method for controlling a system
EP0974880A1 (de) * 1998-07-20 2000-01-26 Electrowatt Technology Innovation AG Selbstadaptiver PID-Regler
DE10302585A1 (de) * 2003-01-22 2004-08-12 Endress + Hauser Wetzer Gmbh + Co Kg Verfahren zum Einstellen eines Reglers
EP2715458B1 (en) * 2011-05-27 2018-11-14 Politechnika Swietokrzyska Tuning method of pi and pid controllers

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
https://www.researchgate.net; https://www.sciencedirect.com/science/article/pii/S187705092301623X; Zenon Zwierzewicz, Lech Dorobczyński, Sławomir Jaszczak, Designing an optimal ship course-keeping system for an unknown object model via adaptive dynamic programming approach, Procedia Computer Science, Volume 225, 2023, Pages 4667-4674, ISSN 1877-0509, https://doi.org/10.1016/j.procs.2023.10.465; Available online 8 December 2023 *

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