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The Power of Negative Feedback in Control Systems: Harnessing Stability and Precision

so we will start with our question โ€ why negative feedback is preferred in control system ? โ€œ.

In the realm of control systems, feedback plays a crucial role in achieving stability, accuracy, and robustness. Feedback control involves continuously measuring the output of a system, comparing it to the desired reference, and generating an error signal to drive corrective actions. While both positive and negative feedback mechanisms exist, negative feedback has emerged as the preferred choice due to its numerous advantages. In this article, we delve into the reasons why negative feedback is favored in control systems and explore its impact on stability, precision, and overall system performance , why negative feedback is preferred in the control system.

why negative feedback is preferred in control system  1
  1. Stability Enhancement

One of the primary reasons negative feedback is preferred in control systems is its ability to enhance stability. By measuring the difference between the desired output and the actual output, negative feedback produces an error signal that is then used to adjust the systemโ€™s behavior. This correction mechanism counteracts any disturbances or variations and brings the system back to its desired state, why negative feedback is preferred in the control system.

Negative feedback creates a stable closed-loop system by introducing damping effects. When a system experiences a disturbance, negative feedback ensures that the error signal is fed back in a way that opposes the disturbance, minimizing its impact. This damping effect helps prevent oscillations, overshoots, and instability, ultimately leading to a more robust and predictable control system.

  1. Accuracy and Precision

Another key advantage of negative feedback is its ability to enhance accuracy and precision in control systems. By continuously comparing the systemโ€™s output with the desired reference, negative feedback provides an ongoing error signal that drives corrective actions. This error signal adjusts the control inputs, minimizing any discrepancies between the desired and actual states, why negative feedback is preferred in the control system.

Negative feedback allows control systems to achieve high levels of accuracy and precision by reducing errors to minimal levels. As the system continually self-corrects, it converges towards the desired state, even in the presence of uncertainties or disturbances. The error signal acts as a guide for fine-tuning the control inputs, ensuring that the system reaches and maintains the desired setpoint, why negative feedback is preferred in the control system.

  1. Robustness and Disturbance Rejection

Control systems often operate in dynamic environments where disturbances and uncertainties are inevitable. Negative feedback excels in handling such challenges, making it a preferred choice for robust control, why negative feedback is preferred in the control system.

Negative feedback inherently rejects disturbances by sensing and correcting deviations from the desired state. As soon as a disturbance occurs, the feedback loop identifies the error and adjusts the system accordingly. This ability to quickly respond and reject disturbances makes control systems more resilient and adaptable to changing operating conditions , why negative feedback is preferred in the control system.

  1. Increased System Bandwidth

Negative feedback also offers advantages in terms of system bandwidth. Bandwidth refers to the range of frequencies over which a system can effectively respond to input signals. In control systems, a higher bandwidth allows for faster responses and improved tracking of dynamic references.

Negative feedback enables wider system bandwidth by reducing the phase shift and amplifying the systemโ€™s gain within the specified frequency range. This increased bandwidth facilitates quicker responses to changes, allowing the system to follow rapid commands and adapt to dynamic operating conditions more effectively.

People also ask

Q: Why do we prefer negative feedback?
A: Negative feedback is preferred in control systems due to its ability to enhance stability, accuracy, precision, and robustness. It provides a self-correcting mechanism that opposes disturbances, reduces errors, and brings the system back to its desired state. Negative feedback ensures that the system remains stable and performs reliably even in the presence of uncertainties and variations, why negative feedback is preferred in the control system.

Q: What are the benefits of negative feedback in control systems?
A: The benefits of negative feedback in control systems include:

  1. Stability enhancement: Negative feedback introduces damping effects that prevent oscillations, overshoots, and instability, leading to a more robust and predictable control system.
  2. Accuracy and precision: Negative feedback continuously compares the systemโ€™s output with the desired reference, driving corrective actions to minimize discrepancies and errors, thereby achieving high levels of accuracy and precision.
  3. Robustness and disturbance rejection: Negative feedback quickly senses and corrects deviations from the desired state, making control systems more resilient and adaptable to disturbances and uncertainties.
  4. Increased system bandwidth: Negative feedback allows for a wider range of frequencies over which the system can effectively respond, enabling faster responses and improved tracking of dynamic references.

Q: Which feedback is preferred in control systems?
A: Negative feedback is preferred in control systems due to its numerous advantages. It provides stability enhancement, accuracy, precision, robustness, and increased system bandwidth. Negative feedback ensures that the system can effectively counteract disturbances, reduce errors, and converge towards the desired state, making it the preferred choice for most control system applications, why negative feedback is preferred in the control system.

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Q: Why is feedback preferred in control systems?
A: Feedback is preferred in control systems because it allows for continuous monitoring and adjustment of the systemโ€™s behavior. By comparing the systemโ€™s output with the desired reference, feedback provides an error signal that drives corrective actions. This self-correcting mechanism enables the control system to maintain stability, achieve accuracy, reject disturbances, and adapt to changing conditions. Feedback is essential for ensuring that the control system operates reliably and performs optimally in dynamic environments.

Conclusion

In the realm of control systems, negative feedback has emerged as the preferred choice for stability, accuracy, and robustness. By continuously comparing the desired output with the actual output, negative feedback enables the system to self-correct, dampen disturbances, and converge towards the desired state. Its ability to enhance stability, accuracy, precision, and robustness makes it an invaluable tool in a wide range of control applications, including industrial automation, robotics, and aerospace systems. Understanding the power of negative feedback empowers engineers to design and optimize control systems that perform reliably and consistently in complex and dynamic environments.

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    Please share your targeted niche and focus keyword if any.

    Let me know what you think?

    Regards,
    Max

  15. Hi pharmaguides.in owner.

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    BLOGiYU

  16. เน€เธงเน‡เธšเธ•เธฃเธ‡เธชเธฅเน‡เธญเธ• เน„เธกเนˆเธกเธตเธ‚เธฑเน‰เธ™เธ•เนˆเธณ เน€เธงเน‡เธšเน€เธ”เธดเธกเธžเธฑเธ™SLOT
    ONLINEเนƒเธซเธกเนˆเธฅเนˆเธฒเธชเธธเธ” เธ—เธตเนˆเธเธณเธฅเธฑเธ‡เน€เธ›เน‡เธ™เธ—เธตเนˆเธŠเธทเนˆเธ™เธŠเธญเธšเนƒเธ™เธเธฅเนˆเธกเธ™เธฑเธเธเธฒเธฃเธžเธ™เธฑเธ™เธญเธขเนˆเธฒเธ‡เธขเธดเนˆเธ‡เนƒเธ™เธ›เธฑเธˆเธˆเธธเธšเธฑเธ™ เน€เธงเน‡เธšเน„เธ‹เธ•เนŒเน€เธเธกเธชเธฅเน‡เธญเธ•เน€เธ›เน‡เธ™เธ—เธตเนˆเธŠเธทเนˆเธ™เธŠเธญเธš
    2022 เธ‚เธญเธ‡เธžเธงเธเน€เธฃเธฒเน€เธ›เธดเธ”เนƒเธซเน‰เธšเธฃเธดเธเธฒเธฃ SLOT
    เธชเนˆเธ‡เธ•เธฃเธ‡เธˆเธฒเธเธ•เนˆเธฒเธ‡เธ›เธฃเธฐเน€เธ—เธจ
    SLOT ONLINE เน€เธงเน‡เธšเธ•เธฃเธ‡ เน„เธกเนˆเธกเธตเธ‚เธฑเน‰เธ™เธ•เนˆเธณ เธŠเนˆเธงเธขเนƒเธซเน‰เธ—เนˆเธฒเธ™เน„เธ”เน‰เธชเธฑเธกเธœเธฑเธชเธ›เธฃเธฐเธชเธšเธเธฒเธฃเธ“เนŒ เน€เธงเน‡เธšเน€เธ”เธดเธกเธžเธฑเธ™เน€เธเธกเธชเธฅเน‡เธญเธ• เธกเธตเนƒเธšเธฃเธฑเธšเธฃเธญเธ‡ เธžเธฃเน‰เธญเธกเน„เธ”เน‰เธฃเธฑเธšเธกเธฒเธ•เธฃเธฒเธเธฒเธชเธฒเธเธฅเธ‚เธญเธ‡เน‚เธฅเธเน€เธžเธทเนˆเธญเนƒเธซเน‰เธ—เธธเธเน†เธ„เธ™เน„เธ”เน‰ เน€เธงเน‡เธšเน€เธ”เธดเธกเธžเธฑเธ™เธชเธฅเน‡เธญเธ•เธ—เธตเนˆเธกเธตเธ„เธธเธ“เธ เธฒเธžเธ—เธตเนˆเธชเธธเธ” SLOT เธŸเธฃเธตเน€เธ„เธฃเธ”เธดเธ• เธœเธนเน‰เน€เธฅเนˆเธ™เธชเธฒเธกเธฒเธฃเธ–เน€เธฅเนˆเธ™เนƒเธ™เน‚เธซเธกเธ” เธ—เธ”เธฅเธญเธ‡เน€เธฅเนˆเธ™เธชเธฅเน‡เธญเธ•เธญเธญเธ™เน„เธฅเธ™เนŒ เน„เธ”เน‰เธ‡เนˆเธฒเธขเน†เน€เธžเธตเธขเธ‡เนเธ„เนˆเธ—เธธเธเธ—เนˆเธฒเธ™เธชเธกเธฑเธ„เธฃ USER เธเธฑเธšเธ—เธฒเธ‡ เธชเธฅเน‡เธญเธ•เน„เธกเนˆเธœเนˆเธฒเธ™เน€เธญเน€เธขเนˆเธ™เธ•เนŒ
    เธเธฒเธเธ–เธญเธ™เน„เธกเนˆเธกเธตเธ‚เธฑเน‰เธ™เธ•เนˆเธณ เธˆเธฐเธ—เธณเนƒเธซเน‰เธ—เธธเธเน†เธ—เนˆเธฒเธ™เธ™เธฑเน‰เธ™เน„เธ”เน‰ SLOTเธชเธฅเน‡เธญเธ•เน€เธ„เธฃเธ”เธดเธ•เธŸเธฃเธตเธ‹เธถเนˆเธ‡เธชเธฒเธกเธฒเธฃเธ–เน€เธฅเนˆเธ™เน€เธเธก เน€เธเธกเธชเธฅเน‡เธญเธ•เธญเธญเธ™เน„เธฅเธ™เนŒเธ—เธตเนˆเธญเธขเธนเนˆเนƒเธ™ เน€เธงเน‡เธšเน„เธ‹เธ•เนŒเธ‚เธญเธ‡เน€เธฃเธฒเน„เธ”เน‰เธ—เธธเธเน€เธเธกเน‚เธ”เธขเธ—เธธเธเน†เธ—เนˆเธฒเธ™เน„เธกเนˆเธ•เน‰เธญเธ‡เธ—เธณเธเธฒเธเน€เธ‡เธดเธ™เน€เธ‚เน‰เธฒเธฃเธฐเธšเธšเธ‚เธญเธ‡เธžเธงเธเน€เธฃเธฒเธเนˆเธญเธ™เน€เธฅเธขเธชเธฒเธกเธฒเธฃเธ–เน€เธฅเนˆเธ™ slot เน€เธงเน‡เธšเธ•เธฃเธ‡ เธเธฒเธเธ–เธญเธ™เน„เธกเนˆเธกเธตเธ‚เธฑเน‰เธ™เธ•เนˆเธณ เธ‚เธญเธ‡เธžเธงเธเน€เธฃเธฒเน„เธ”เน‰เธ—เธธเธเน€เธเธกเน„เธกเนˆเธงเนˆเธฒเธˆเธฐเน€เธ›เน‡เธ™เน€เธเธก SLOTเธกเธฒเนƒเธซเธกเนˆเธซเธฃเธทเธญเน€เธเธก SLOT เธขเธญเธ”เธ™เธดเธขเธก เน€เธซเธกเธฒเธฐเธเธฑเธšเธ™เธฑเธเธžเธ™เธฑเธ™เธ—เธธเธเธงเธฑเธขเธ—เธตเนˆเธญเธขเธฒเธเน€เธžเธดเนˆเธกเธŠเนˆเธญเธ‡เธ—เธฒเธ‡เนƒเธ™เธเธฒเธฃเธŠเธ™เธฐ เน€เธเธกเน€เธเธกเธชเธฅเน‡เธญเธ• เน‚เธ”เธขเธจเธถเธเธฉเธฒเน€เธเธกเน„เธ”เน‰เธ‡เนˆเธฒเธขเน†เธซเธฒเน€เธเธกเธ—เธตเนˆเธŠเธทเนˆเธญเธŠเธญเธšเนเธฅเน‰เธงเน€เธฅเนˆเธ™เธˆเธ™เน€เธ‚เน‰เธฒเนƒเธˆเนƒเธˆเธŸเธดเน€เธˆเธญเธฃเนŒ
    เธฃเธนเน‰เน€เธฃเธทเนˆเธญเธ‡เธเธฒเธฃเนเธ•เธเธ‚เธญเธ‡ เน€เธเธกเน€เธเธกเธชเธฅเน‡เธญเธ• เธ™เธฑเน‰เธ™เน†เน€เธฃเธตเธขเธ™เธฃเธนเน‰เน€เธžเธทเนˆเธญเธเธณเธซเธ™เธ”เนเธœเธ™เน€เธฅเนˆเธ™เนƒเธซเน‰เธเธฑเธšเน€เธ‡เธดเธ™เธฅเธ‡เธ—เธธเธ™เธ‚เธญเธ‡เธ•เธฑเธงเน€เธญเธ‡ เธˆเธฑเธ‡เธซเธงเธฐเธŠเธ™เธฐเน„เธ”เน‰เนเธˆเน‡เธ„เธžเน‡เธญเธ•เธญเธขเธนเนˆเน„เธกเนˆเน„เธเธฅ
    เธชเธฅเน‡เธญเธ•เน„เธกเนˆเธœเนˆเธฒเธ™เน€เธญเน€เธขเนˆเธ™เธ•เนŒ เธเธฒเธเธ–เธญเธ™เน„เธกเนˆเธกเธตเธ‚เธฑเน‰เธ™เธ•เนˆเธณ
    เธ‚เธญเธ‡เธžเธงเธเน€เธฃเธฒเธกเธฒเธžเธฃเน‰เธญเธก เธšเธฃเธดเธเธฒเธฃ เน„เธกเนˆเธกเธตเธ‚เธฑเน‰เธ™เธ•เนˆเธณ เธšเธ™เน‚เธ—เธฃเธจเธฑเธžเธ—เนŒเน€เธ„เธฅเธทเนˆเธญเธ™เธ—เธตเนˆเธ—เธตเนˆเน€เธฅเนˆเธ™เน„เธ”เน‰เน€เธ‡เธดเธ™เธˆเธฃเธดเธ‡ เธเธฒเธเธ–เธญเธ™เธญเธญเน‚เธ•เน‰เน„เธกเนˆเธกเธตเธ‚เธฑเน‰เธ™เธ•เนˆเธณเนƒเธ™เธเธฒเธฃเธเธฒเธเธ–เธญเธ™ เธšเธฃเธดเธเธฒเธฃเนเธฅเธฐเธฃเธฐเธšเธš เน€เธžเธทเนˆเธญเธญเธณเธ™เธงเธขเธ„เธงเธฒเธกเธชเธฐเธ”เธงเธเนƒเธซเน‰เธ™เธฑเธเน€เธ”เธดเธกเธžเธฑเธ™เธกเธฒเธเธ—เธตเนˆเธชเธธเธ” เน‚เธ”เธขเธชเธฒเธกเธฒเธฃเธ–เธ”เธณเน€เธ™เธดเธ™เธ˜เธธเธฃเธเธฃเธฃเธกเน„เธ”เน‰เธ”เน‰เธงเธขเธ•เธฑเธงเน€เธญเธ‡ เน„เธกเนˆเธ•เน‰เธญเธ‡เธ—เธฑเธเธซเธฒเนเธญเธ”เธกเธดเธ™เธญเธตเธเธ•เนˆเธญเน„เธ› เน„เธกเนˆเธ•เน‰เธญเธ‡เธชเนˆเธ‡เธชเธฅเธดเธ›
    เธ—เธธเธเธ—เนˆเธฒเธ™เธชเธฒเธกเธฒเธฃเธ–เธ”เธณเน€เธ™เธดเธ™เธเธฒเธฃเน„เธ”เน‰เธ”เน‰เธงเธขเธ•เธฑเธงเน€เธญเธ‡ เน„เธกเนˆเน€เธชเธตเธขเธ„เนˆเธฒเธ˜เธฃเธฃเธกเน€เธ™เธตเธขเธก เธเธฒเธเธ–เธญเธ™เธญเธญเน‚เธ•เน‰เธเธฒเธเธ–เธญเธ™เน„เธกเนˆเธกเธตเธ‚เธฑเน‰เธ™เธ•เนˆเธณ เน€เธšเธ—1เธšเธฒเธ—เธเน‡เธชเธฒเธกเธฒเธฃเธ–เน€เธฅเนˆเธ™ SLOT เธ‚เธญเธ‡เน€เธฃเธฒเน„เธ”เน‰เธ—เธธเธเน€เธเธกเน€เธซเธกเธฒเธฐเธเธฑเธšเธกเธทเธญเนƒเธซเธกเนˆเธ—เธตเนˆเธเธณเธฅเธฑเธ‡เธซเธฒเธ›เธฃเธฐเธชเธšเธเธฒเธฃเธ“เนŒเน€เธฅเนˆเธ™ SLOT เน€เธงเน‡เธšเธ•เธฃเธ‡ เน„เธกเนˆเธกเธตเธ‚เธฑเน‰เธ™เธ•เนˆเธณ
    เธฃเธงเธกเธ–เธถเธ‡เธœเธนเน‰เน€เธฅเนˆเธ™เธ—เธตเนˆเธกเธตเธ—เธธเธ™เธ™เน‰เธญเธข เธ•เธญเธšเน‚เธˆเธ—เธขเนŒเนเธ™เนˆเธ™เธญเธ™ เน€เธกเธทเนˆเธญเธ—เนˆเธฒเธ™เน€เธ‚เน‰เธฒเธกเธฒเน€เธ›เน‡เธ™เธชเธกเธฒเธŠเธดเธเธเธฑเธšเน€เธฃเธฒ เธ—เธธเธเธ„เธ™เธˆเธฐเน„เธ”เน‰เธฃเธฑเธšเธชเธดเธ—เธ˜เธดเธ›เธฃเธฐเน‚เธขเธŠเธ™เนŒเธกเธฒเธเธกเธฒเธขเน„เธกเนˆเธงเนˆเธฒเธˆเธฐเน€เธ›เน‡เธ™เน‚เธ›เธฃเน‚เธกเธŠเธฑเนˆเธ™เธ—เธตเนˆเน€เธฃเธฒเน„เธ”เน‰เธ„เธฑเธ”เธชเธฃเธฃเธ„เนŒเธกเธฒเน€เธžเธทเนˆเธญเนƒเธซเน‰เธชเธกเธฒเธŠเธดเธเธ‚เธญเธ‡เน€เธฃเธฒเน„เธ”เน‰เน€เธฅเนˆเธ™
    เธชเธฅเน‡เธญเธ•เน€เธงเน‡เธšเธ•เธฃเธ‡ เน„เธกเนˆเธกเธตเธ‚เธฑเน‰เธ™เธ•เนˆเธณ เน„เธ”เน‰เธชเธ™เธธเธเน€เธžเธฅเธดเธ™เธชเธ™เธธเธเธเธฑเธšเนเธˆเน‡เธ„เธžเธญเธ•เน€เธขเธญเธฐเธ‚เธถเน‰เธ™ เธžเธงเธเน€เธฃเธฒเน„เธ”เน‰เธฃเธงเธšเธฃเธงเธกเน€เธเธก
    เน€เธเธกเธชเธฅเน‡เธญเธ•เธญเธญเธ™เน„เธฅเธ™เนŒ เนเธ•เธเธ‡เนˆเธฒเธข เธกเธฒเธฃเธงเธกเธ—เธตเนˆ เน€เธงเน‡เธšเธžเธ™เธฑเธ™เธชเธฅเน‡เธญเธ• เธ‚เธญเธ‡เน€เธฃเธฒ เธ—เธตเนˆเน€เธ”เธตเธขเธงเนเธฅเน‰เธงเธกเธฒเธเธเธงเนˆเธฒ 15 เธ„เนˆเธฒเธขเธชเธฅเน‡เธญเธ•เธญเธญเธ™เน„เธฅเธ™เนŒเธญเธทเนˆเธ™เน†เธญเธตเธเธซเธฅเธฒเธขเธ„เนˆเธฒเธขเน€เธเธกเธชเธฅเน‡เธญเธ•เธˆเธฒเธเธ„เนˆเธฒเธขเธชเธฅเน‡เธญเธ•เธญเธญเธ™เน„เธฅเธ™เนŒเธญเธทเนˆเธ™เน†เธญเธตเธเธกเธฒเธเธกเธฒเธขเธ”เธฑเธ‡เน€เธŠเนˆเธ™ เธชเธฅเน‡เธญเธ• PG เนเธ•เธเธšเนˆเธญเธข ,
    SLOT XO เนเธ•เธเธšเนˆเธญเธข , เธ—เธฒเธ‡เน€เธ‚เน‰เธฒ JOKERSLOT , SLOT SUPER เนเธ•เธเธšเนˆเธญเธข ,
    เธชเธฅเน‡เธญเธ• AMB เนเธ•เธเธšเนˆเธญเธข , PRAGMATIC
    เนเธ•เธเธšเนˆเธญเธข เนเธฅเธฐเธเน‡เธ„เนˆเธฒเธขเธชเธฅเน‡เธญเธ•เธญเธทเนˆเธ™เน†เธญเธตเธเธซเธฅเธฒเธขเธ„เนˆเธฒเธข
    เธ—เธตเนˆเธžเธงเธเน€เธฃเธฒเน„เธ”เน‰เธ„เธฑเธ”เธชเธฃเธฃเธ„เนŒเน€เธเธก เธชเธฅเน‡เธญเธ•เธญเธญเธ™เน„เธฅเธ™เนŒ เธเธณเธฅเธฑเธ‡เธกเธฒเนเธฃเธ‡เธˆเธฒเธเธ„เนˆเธฒเธขเธ”เธฑเธ‡เธกเธฒเนƒเธซเน‰เธ—เธธเธเน†เธ„เธ™เนเธฅเน‰เธง เธฃเธงเธกเธ„เนˆเธฒเธข SLOT เน€เธงเน‡เธšเธ•เธฃเธ‡ เน„เธกเนˆเธกเธตเธ‚เธฑเน‰เธ™เธ•เนˆเธณ
    เนƒเธ™ เน€เธงเน‡เธšเธžเธ™เธฑเธ™เธชเธฅเน‡เธญเธ•เธญเธญเธ™เน„เธฅเธ™เนŒ เน€เธงเน‡เธšเน€เธ”เธตเธขเธงเน€เธ›เธดเธ”เนƒเธซเน‰เธšเธฃเธดเธเธฒเธฃ 24 เธŠเธก.

    เน€เธ›เธดเธ”เนƒเธซเน‰เธšเธฃเธดเธเธฒเธฃ เธเธฑเธš เธ„เธฒเธชเธดเน‚เธ™ เธœเนˆเธฒเธ™เธฃเธฐเธšเธšเธญเธดเธ™เน€เธ•เธญเธฃเนŒเน€เธ™เน‡เธ•เธŠเนˆเธงเธขเนƒเธซเน‰เธ™เธฑเธเธžเธ™เธฑเธ™ เน„เธกเนˆเธ•เน‰เธญเธ‡เน€เธฅเนˆเธ™เน€เธเธก slot เธ—เธตเนˆเธˆเธณเน€เธˆเธเธฑเธšเธเธฒเธฃเน€เธฅเนˆเธ™ SLOT เน€เธงเน‡เธšเธ•เธฃเธ‡ เน„เธกเนˆเธกเธตเธ‚เธฑเน‰เธ™เธ•เนˆเธณ เธญเธตเธเธ•เนˆเธญเน„เธ›เธžเธงเธเน€เธฃเธฒเธขเธฑเธ‡เน€เธ›เธดเธ”เนƒเธซเน‰เธฃเนˆเธงเธกเธชเธ™เธธเธเธเธฑเธšเธฃเธนเธ›เนเธšเธšเน€เธเธก SLOT ONLINE
    เธกเธฒเธเธกเธฒเธขเน„เธกเนˆเธงเนˆเธฒเธˆเธฐเน€เธ›เน‡เธ™ เน€เธเธกเธชเธฅเน‡เธญเธ•เธญเธญเธ™เน„เธฅเธ™เนŒ,เธšเธญเธฅ , เน€เธเธกเธšเธฒเธ„เธฒเธฃเนˆเธฒเธญเธญเธ™เน„เธฅเธ™เนŒ ,
    ROULETTE , เธซเธงเธข , blackjack , POKER , เธขเธดเธ‡เธ›เธฅเธฒ เนเธฅเธฐเธญเธตเธเธกเธฒเธเธกเธฒเธขเธ—เธตเนˆเธˆเธฐเธ—เธณเนƒเธซเน‰ เธ—เธธเธเธ„เธ™เน„เธ”เน‰เธžเธšเธเธฑเธšเธ„เธงเธฒเธกเธชเธ™เธธเธเธกเธฒเธเธเธงเนˆเธฒ 200 เธ„เธ™เธ—เธตเนˆเธกเธตเธ›เธฃเธฐเธชเธšเธเธฒเธฃเธ“เนŒเธ—เธณเธ‡เธฒเธ™เธกเธฒเธเธเธงเนˆเธฒ 2 เธ›เธตเธ—เธตเนˆเธˆเธฐเธ„เธญเธขเธ”เธนเนเธฅเธ—เธธเธเน†เธ„เธ™เธ—เธตเนˆเน€เธ‚เน‰เธฒเธกเธฒเน€เธฅเนˆเธ™ เธชเธฅเน‡เธญเธ•เน€เธงเน‡เธšเธ•เธฃเธ‡เน„เธกเนˆเธœเนˆเธฒเธ™เน€เธญเน€เธขเนˆเธ™เธ•เนŒ เธเธฒเธเธ–เธญเธ™เน„เธกเนˆเธกเธตเธ‚เธฑเน‰เธ™เธ•เนˆเธณ เธ‚เธญเธ‡เน€เธฃเธฒเธซเธฃเธทเธญเธ™เธฑเธเน€เธ”เธดเธกเธžเธฑเธ™เธ—เนˆเธฒเธ™เนƒเธ”เธ—เธตเนˆเน€เธเธดเธ”เธ›เธฑเธเธซเธฒเธญเธขเธฒเธเน„เธ”เน‰เธซเธฒเธฃเธทเธญเธเน‡เธชเธฒเธกเธฒเธฃเธ–เธ—เธฑเธเธซเธฒเธ—เธตเธกเธ‡เธฒเธ™เน€เธฃเธฒเน„เธ”เน‰เธ•เธฅเธญเธ”
    24 เธŠเธก.
    เน€เธงเน‡เธšเธ•เธฃเธ‡เธชเธฅเน‡เธญเธ•

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Chemical Engineer having 15 years of industrial Experience. My Skills are process design, Project Management & Much more.