By adding poles and zeros to the transfer function of a system we can affect its root locus and also the stability. If we add a valid zero to the T.F. it will shift the root locus towards left side of the s-plane and thus the stability increases. And if we add a valid pole reverse process of that of adding zero occurs...
Ashish Sharma
Astt. Professor
The Nyquist stability criterion, named after Harry Nyquist, provides a simple test for stability of a closed-loop control system by examining the open-loop system's Nyquist plot. Under many circumstances, stability of the closed-loop control system may be determined directly by computing the poles of the closed-loop transfer function. In contrast, the Nyquist stability criterion allows stability to be determined without computing the closed-loop poles
Root locus
It has been awhile for me, but if all of the poles are to the left of the vertical axis, then it will be stable. Any poles on the vertical, or to the right, and it will be unstable.
In a three-phase motor with six poles, there are two groups of poles. Each group consists of three poles, which are spaced 120 degrees apart in the motor's stator. This arrangement allows for the generation of a rotating magnetic field, essential for the motor's operation. Therefore, the configuration of six poles in a three-phase system results in two distinct pole groups.
Checking is a natural occurrence in lumber and poles that happens when the sapwood of a tree dries around the heartwood. Usually, it does not have an affect in the structural value.
poles are the plot of the transfer function of a system on the left side of the origin, in s-plane. zeroes are the right side plot. poles and zeroes specifies the absolute stability of the system.. they also gives the observability and controllability of the system..
The Nyquist stability criterion, named after Harry Nyquist, provides a simple test for stability of a closed-loop control system by examining the open-loop system's Nyquist plot. Under many circumstances, stability of the closed-loop control system may be determined directly by computing the poles of the closed-loop transfer function. In contrast, the Nyquist stability criterion allows stability to be determined without computing the closed-loop poles
The root locus represents the movement of the poles of a system as a parameter is varied. It helps in analyzing the stability and dynamic response of a system. By plotting the locations of the poles in the complex plane, engineers can understand the behavior of the system and design appropriate control strategies.
In a driving point function, poles and zeros must adhere to specific restrictions to ensure system stability and physical realizability. Poles should be located in the left half of the complex plane for stability, while zeros can be placed anywhere, though their placement affects the system's response. Additionally, the number of poles must be greater than or equal to the number of zeros for the function to remain proper. This ensures that the driving point function behaves appropriately within the constraints of physical systems.
the poles effect it beacuse it can attract the poles
The poles on a net are typically known as "posts" or "supports." They provide the structure and stability needed to keep the net in place.
poles are the wires and where they are connected
Root locus
Arbitrary pole placement refers to the process of selecting the locations of the poles of a system to achieve desired dynamic behavior. By choosing the pole locations, engineers can design the system to have specific characteristics, such as stability, performance, and response time. The poles can be placed using various control techniques to meet the desired requirements.
It has been awhile for me, but if all of the poles are to the left of the vertical axis, then it will be stable. Any poles on the vertical, or to the right, and it will be unstable.
To properly set up a dome tent pole for maximum stability and support, follow these steps: Lay out the tent and assemble the poles according to the manufacturer's instructions. Insert the poles into the corresponding sleeves or clips on the tent. Secure the poles by attaching them to the tent's grommets or clips at the base. Adjust the tension of the poles to ensure they are taut and evenly distributed. Stake down the tent corners and guy lines for additional stability in windy conditions.
We can classify the systems based on stability as follows. Absolutely stable system Conditionally stable system Marginally stable system Absolutely Stable System If the system is stable for all the range of system component values, then it is known as the absolutely stable system. The open loop control system is absolutely stable if all the poles of the open loop transfer function present in left half of ‘s’ plane. Similarly, the closed loop control system is absolutely stable if all the poles of the closed loop transfer function present in the left half of the ‘s’ plane. Conditionally Stable System If the system is stable for a certain range of system component values, then it is known as conditionally stable system. Marginally Stable System If the system is stable by producing an output signal with constant amplitude and constant frequency of oscillations for bounded input, then it is known as marginally stable system. The open loop control system is marginally stable if any two poles of the open loop transfer function is present on the imaginary axis. Similarly, the closed loop control system is marginally stable if any two poles of the closed loop transfer function is present on the imaginary axis.