3 research outputs found
ΠΠ°Π·Π½Π°ΡΠ΅Π½ΠΈΠ΅ ΡΠΏΠ΅ΠΊΡΡΠ° Π² Π»ΠΈΠ½Π΅ΠΉΠ½ΡΡ ΡΠΈΡΡΠ΅ΠΌΠ°Ρ Ρ Π½Π΅ΡΠΊΠΎΠ»ΡΠΊΠΈΠΌΠΈ ΡΠΎΠΈΠ·ΠΌΠ΅ΡΠΈΠΌΡΠΌΠΈ ΡΠΎΡΡΠ΅Π΄ΠΎΡΠΎΡΠ΅Π½Π½ΡΠΌΠΈ ΠΈ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Π½ΡΠΌΠΈ Π·Π°ΠΏΠ°Π·Π΄ΡΠ²Π°Π½ΠΈΡΠΌΠΈ Π² ΡΠΎΡΡΠΎΡΠ½ΠΈΠΈ ΠΏΠΎΡΡΠ΅Π΄ΡΡΠ²ΠΎΠΌ ΡΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΎΠ±ΡΠ°ΡΠ½ΠΎΠΉ ΡΠ²ΡΠ·ΠΈ ΠΏΠΎ Π²ΡΡ ΠΎΠ΄Ρ
Π Π°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ Π»ΠΈΠ½Π΅ΠΉΠ½Π°Ρ ΡΠΈΡΡΠ΅ΠΌΠ° ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ, Π·Π°Π΄Π°Π½Π½Π°Ρ ΡΡΠ°ΡΠΈΠΎΠ½Π°ΡΠ½ΡΠΌ Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½ΡΠΌ ΡΡΠ°Π²Π½Π΅Π½ΠΈΠ΅ΠΌ -Π³ΠΎ ΠΏΠΎΡΡΠ΄ΠΊΠ° Ρ Π½Π΅ΡΠΊΠΎΠ»ΡΠΊΠΈΠΌΠΈ ΡΠΎΠΈΠ·ΠΌΠ΅ΡΠΈΠΌΡΠΌΠΈ ΡΠΎΡΡΠ΅Π΄ΠΎΡΠΎΡΠ΅Π½Π½ΡΠΌΠΈ ΠΈ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Π½ΡΠΌΠΈ Π·Π°ΠΏΠ°Π·Π΄ΡΠ²Π°Π½ΠΈΡΠΌΠΈ Π² ΡΠΎΡΡΠΎΡΠ½ΠΈΠΈ. Π ΡΠΈΡΡΠ΅ΠΌΠ΅ Π½Π° Π²Ρ
ΠΎΠ΄ ΠΏΠΎΠ΄Π°Π΅ΡΡΡ Π»ΠΈΠ½Π΅ΠΉΠ½Π°Ρ ΠΊΠΎΠΌΠ±ΠΈΠ½Π°ΡΠΈΡ ΠΈΠ· ΡΠΈΠ³Π½Π°Π»ΠΎΠ² ΠΈ ΠΈΡ
ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄Π½ΡΡ
Π΄ΠΎ ΠΏΠΎΡΡΠ΄ΠΊΠ° Π²ΠΊΠ»ΡΡΠΈΡΠ΅Π»ΡΠ½ΠΎ, Π° Π²ΡΡ
ΠΎΠ΄ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»ΡΠ΅Ρ ΡΠΎΠ±ΠΎΠΉ -ΠΌΠ΅ΡΠ½ΡΠΉ Π²Π΅ΠΊΡΠΎΡ Π»ΠΈΠ½Π΅ΠΉΠ½ΡΡ
ΠΊΠΎΠΌΠ±ΠΈΠ½Π°ΡΠΈΠΉ ΡΠΎΡΡΠΎΡΠ½ΠΈΡ ΠΈ Π΅Π³ΠΎ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄Π½ΡΡ
Π΄ΠΎ ΠΏΠΎΡΡΠ΄ΠΊΠ° Π½Π΅ Π±ΠΎΠ»Π΅Π΅ . ΠΠ»Ρ ΡΡΠΎΠΉ ΡΠΈΡΡΠ΅ΠΌΡ ΠΈΡΡΠ»Π΅Π΄ΡΠ΅ΡΡΡ Π·Π°Π΄Π°ΡΠ° ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΡΠΏΠ΅ΠΊΡΡΠΎΠΌ Ρ ΠΏΠΎΠΌΠΎΡΡΡ Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ ΡΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΎΠ±ΡΠ°ΡΠ½ΠΎΠΉ ΡΠ²ΡΠ·ΠΈ ΠΏΠΎ Π²ΡΡ
ΠΎΠ΄Ρ Ρ ΡΠΎΠΈΠ·ΠΌΠ΅ΡΠΈΠΌΡΠΌΠΈ ΡΠΎΡΡΠ΅Π΄ΠΎΡΠΎΡΠ΅Π½Π½ΡΠΌΠΈ ΠΈ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Π½ΡΠΌΠΈ Π·Π°ΠΏΠ°Π·Π΄ΡΠ²Π°Π½ΠΈΡΠΌΠΈ. ΠΠΎΠ»ΡΡΠ΅Π½Ρ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΡΠ΅ ΠΈ Π΄ΠΎΡΡΠ°ΡΠΎΡΠ½ΡΠ΅ ΡΡΠ»ΠΎΠ²ΠΈΡ ΡΠ°Π·ΡΠ΅ΡΠΈΠΌΠΎΡΡΠΈ Π·Π°Π΄Π°ΡΠΈ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ»ΡΠ½ΠΎΠ³ΠΎ ΡΠ°Π·ΠΌΠ΅ΡΠ΅Π½ΠΈΡ ΡΠΏΠ΅ΠΊΡΡΠ° ΠΏΠΎΡΡΠ΅Π΄ΡΡΠ²ΠΎΠΌ ΡΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΎΠ±ΡΠ°ΡΠ½ΠΎΠΉ ΡΠ²ΡΠ·ΠΈ ΠΏΠΎ Π²ΡΡ
ΠΎΠ΄Ρ. ΠΠΎΠ»ΡΡΠ΅Π½Ρ ΡΠ»Π΅Π΄ΡΡΠ²ΠΈΡ ΠΎ ΡΡΠ°Π±ΠΈΠ»ΠΈΠ·Π°ΡΠΈΠΈ ΡΠΈΡΡΠ΅ΠΌΡ
Stabilizing region in dominant pole placement based discrete time PID control of delayed lead processes using random sampling
This is the final version. Available on open access from Elsevier via the DOI in this recordData availability:
Data will be made available on request.Handling time delays in industrial process control is a major challenge in the dominant pole placement based design of proportional-integral-derivative (PID) controllers due to variable number of zeros and poles which may arise from the Pade approximation of the exponential delay terms in the characteristic polynomials used for stability analysis. This paper proposes a new concept for designing PID controllers with a derivative filter using dominant pole placement method mapped onto the discrete time domain with a suitable choice of the sampling time to convert the continuous time time-delays into finite number of discrete time poles. Here, the continuous-time plant and the filtered PID controller have been discretized using the pole-zero matching method for handling linear dynamical systems, represented by the first order plus time delay with zero (FOPTDZ) transfer function models of the open-loop system under control. We use a swarm intelligence based global optimization method as a sampler to discover the approximate the pattern of the stabilizable region in the controller parameter as well as the design specification space while also satisfying the analytical conditions for pole placement given as higher order polynomials. Simulations on test-bench plants with open-loop stable, unstable, integrating, low-pass, high-pass characteristics have been presented in order to demonstrate the validity and effectiveness of the proposed control design method.European Regional Development Fund (ERDF