4 research outputs found
Parametric Synthesis Model Controller for Nonlinear System Modal Control Method
Π Π°ΡΡΠΌΠΎΡΡΠ΅Π½Π° ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΡΠΈΠ½ΡΠ΅Π·Π° ΠΠΠ-ΡΠ΅Π³ΡΠ»ΡΡΠΎΡΠ° Π½Π΅Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ.
Π ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΡΠ΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΎΡΠ½ΠΎΠ²Ρ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ ΡΠΈΠ½ΡΠ΅Π·Π° ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ ΠΌΠΎΠ΄Π°Π»ΡΠ½ΡΠΉ ΠΌΠ΅ΡΠΎΠ΄.
ΠΠΎΠ»ΡΡΠ΅Π½Ρ ΡΠΎΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΡ, ΡΠ²ΡΠ·ΡΠ²Π°ΡΡΠΈΠ΅ ΠΏΠ΅ΡΠ΅ΡΠ΅Π³ΡΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΈ Π²ΡΠ΅ΠΌΡ ΡΠ΅Π³ΡΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠΈΡΡΠ΅ΠΌΡ
Π°Π²ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ΅Π³ΡΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ Ρ ΡΠ°ΡΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΠ΅ΠΌ Π΅Ρ Π½ΡΠ»Π΅ΠΉ ΠΈ ΠΏΠΎΠ»ΡΡΠΎΠ². ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ ΡΡΠΈΡ
ΡΠΎΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠΉ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π° ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΡΠΈΠ½ΡΠ΅Π·Π° ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΠΠΠ-ΡΠ΅Π³ΡΠ»ΡΡΠΎΡΠ°. ΠΡΠΈΠ²ΠΎΠ΄ΠΈΡΡΡ
ΡΠΈΡΠ»ΠΎΠ²ΠΎΠΉ ΠΏΡΠΈΠΌΠ΅ΡThe methods of synthesis of nonlinear PID control system. As a theoretical basis modal synthesis
technique used method. The ratios connecting overshoot and settling time of automatic control
system with its zeroes and poles arrangement have been obtained. The technique of synthesis of
PID control parameters was developed on the basis of these ratios. The numerical illustration is
give
Study of the Dynamics of the Object Control System of Second Order with Respect to the Placements of the Real Poles
Π Π°ΡΡΠΌΠΎΡΡΠ΅Π½ΠΎ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΈ ΡΠΈΡΡΠ΅ΠΌΡ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ Ρ ΡΠ΅Π³ΡΠ»ΡΡΠΎΡΠΎΠΌ, ΡΠΏΡΠΎΠ΅ΠΊΡΠΈΡΠΎΠ²Π°Π½Π½ΡΠΌ
ΠΏΠΎ ΠΏΡΠ΅Π΄Π»Π°Π³Π°Π΅ΠΌΠΎΠΉ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠ΅ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΈΠ½ΡΠ΅Π·Π° ΠΠΠ-ΡΠ΅Π³ΡΠ»ΡΡΠΎΡΠ° Π΄Π»Ρ ΠΎΠ±ΡΠ΅ΠΊΡΠΎΠ²
Π²ΡΠΎΡΠΎΠ³ΠΎ ΠΏΠΎΡΡΠ΄ΠΊΠ°. Π ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΡΠ΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΎΡΠ½ΠΎΠ²Ρ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ ΠΌΠΎΠ΄Π°Π»ΡΠ½ΡΠΉ
ΠΌΠ΅ΡΠΎΠ΄ Π΄Π»Ρ Π»ΠΈΠ½Π΅ΠΉΠ½ΡΡ
ΡΠΈΡΡΠ΅ΠΌ Ρ ΡΡΠ΅ΡΠΎΠΌ ΡΠ°ΡΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΡ Π΄Π΅ΠΉΡΡΠ²ΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΠΏΠΎΠ»ΡΡΠΎΠ².
ΠΡΠΈΠ²ΠΎΠ΄ΠΈΡΡΡ ΡΠΈΡΠ»ΠΎΠ²ΠΎΠΉ ΠΏΡΠΈΠΌΠ΅Ρ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ. ΠΠΎΠ»ΡΡΠ΅Π½Ρ Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΏΠ΅ΡΠ΅Ρ
ΠΎΠ΄Π½ΠΎΠΉ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ ΠΏΡΠΈ ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ Ρ Π²Π°ΡΡΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ Π·Π°Π΄Π°Π²Π°Π΅ΠΌΡΡ
Π΄Π΅ΠΉΡΡΠ²ΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΠΏΠΎΠ»ΡΡΠΎΠ²The paper explored study of the dynamics of the control system with the controller designed by
the proposed method of parametric synthesis of PID controller for second order objects. As a
theoretical basis for the methodology used modal method for linear systems taking into account
the location of the actual poles. The numerical example of application of the methodology. The
dependences of the transient response in the implementation methodology with variation of values
a valid set of pole
Parametric Synthesis Model Controller for Nonlinear System Modal Control Method
Π Π°ΡΡΠΌΠΎΡΡΠ΅Π½Π° ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΡΠΈΠ½ΡΠ΅Π·Π° ΠΠΠ-ΡΠ΅Π³ΡΠ»ΡΡΠΎΡΠ° Π½Π΅Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ.
Π ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΡΠ΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΎΡΠ½ΠΎΠ²Ρ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ ΡΠΈΠ½ΡΠ΅Π·Π° ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ ΠΌΠΎΠ΄Π°Π»ΡΠ½ΡΠΉ ΠΌΠ΅ΡΠΎΠ΄.
ΠΠΎΠ»ΡΡΠ΅Π½Ρ ΡΠΎΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΡ, ΡΠ²ΡΠ·ΡΠ²Π°ΡΡΠΈΠ΅ ΠΏΠ΅ΡΠ΅ΡΠ΅Π³ΡΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΈ Π²ΡΠ΅ΠΌΡ ΡΠ΅Π³ΡΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠΈΡΡΠ΅ΠΌΡ
Π°Π²ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ΅Π³ΡΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ Ρ ΡΠ°ΡΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΠ΅ΠΌ Π΅Ρ Π½ΡΠ»Π΅ΠΉ ΠΈ ΠΏΠΎΠ»ΡΡΠΎΠ². ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ ΡΡΠΈΡ
ΡΠΎΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠΉ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π° ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΡΠΈΠ½ΡΠ΅Π·Π° ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΠΠΠ-ΡΠ΅Π³ΡΠ»ΡΡΠΎΡΠ°. ΠΡΠΈΠ²ΠΎΠ΄ΠΈΡΡΡ
ΡΠΈΡΠ»ΠΎΠ²ΠΎΠΉ ΠΏΡΠΈΠΌΠ΅ΡThe methods of synthesis of nonlinear PID control system. As a theoretical basis modal synthesis
technique used method. The ratios connecting overshoot and settling time of automatic control
system with its zeroes and poles arrangement have been obtained. The technique of synthesis of
PID control parameters was developed on the basis of these ratios. The numerical illustration is
give
Study of the Dynamics of the Object Control System of Second Order with Respect to the Placements of the Real Poles
Π Π°ΡΡΠΌΠΎΡΡΠ΅Π½ΠΎ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΈ ΡΠΈΡΡΠ΅ΠΌΡ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ Ρ ΡΠ΅Π³ΡΠ»ΡΡΠΎΡΠΎΠΌ, ΡΠΏΡΠΎΠ΅ΠΊΡΠΈΡΠΎΠ²Π°Π½Π½ΡΠΌ
ΠΏΠΎ ΠΏΡΠ΅Π΄Π»Π°Π³Π°Π΅ΠΌΠΎΠΉ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠ΅ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΈΠ½ΡΠ΅Π·Π° ΠΠΠ-ΡΠ΅Π³ΡΠ»ΡΡΠΎΡΠ° Π΄Π»Ρ ΠΎΠ±ΡΠ΅ΠΊΡΠΎΠ²
Π²ΡΠΎΡΠΎΠ³ΠΎ ΠΏΠΎΡΡΠ΄ΠΊΠ°. Π ΠΊΠ°ΡΠ΅ΡΡΠ²Π΅ ΡΠ΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΎΡΠ½ΠΎΠ²Ρ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ ΠΌΠΎΠ΄Π°Π»ΡΠ½ΡΠΉ
ΠΌΠ΅ΡΠΎΠ΄ Π΄Π»Ρ Π»ΠΈΠ½Π΅ΠΉΠ½ΡΡ
ΡΠΈΡΡΠ΅ΠΌ Ρ ΡΡΠ΅ΡΠΎΠΌ ΡΠ°ΡΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΡ Π΄Π΅ΠΉΡΡΠ²ΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΠΏΠΎΠ»ΡΡΠΎΠ².
ΠΡΠΈΠ²ΠΎΠ΄ΠΈΡΡΡ ΡΠΈΡΠ»ΠΎΠ²ΠΎΠΉ ΠΏΡΠΈΠΌΠ΅Ρ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ. ΠΠΎΠ»ΡΡΠ΅Π½Ρ Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΏΠ΅ΡΠ΅Ρ
ΠΎΠ΄Π½ΠΎΠΉ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ ΠΏΡΠΈ ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ Ρ Π²Π°ΡΡΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ Π·Π°Π΄Π°Π²Π°Π΅ΠΌΡΡ
Π΄Π΅ΠΉΡΡΠ²ΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΠΏΠΎΠ»ΡΡΠΎΠ²The paper explored study of the dynamics of the control system with the controller designed by
the proposed method of parametric synthesis of PID controller for second order objects. As a
theoretical basis for the methodology used modal method for linear systems taking into account
the location of the actual poles. The numerical example of application of the methodology. The
dependences of the transient response in the implementation methodology with variation of values
a valid set of pole