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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 54196 (05)
- University: Sharif University of Technology
- Department: Electrical Engineering
- Advisor(s): Haeri, Mohammad
- Abstract:
- The stability of dynamic systems has long been discussed in the theory of control and many people and experts have researched in this field and important results have been obtained from their research. In the real world, systems stability is the premise of controlling their behavior. In fact, systems that are unstable will not be controllable without stability. Therefore, the stability of the systems is discussed and at the same time the control expectations of the system will be raised. The systems of the surrounding world behave nonlinearly; Therefore, their exact stability is not debatable with linear approaches and requires stronger mathematics and attention to specific behaviors of nonlinear functions. A small group of peripheral world systems includes a special type of nonlinear system called the Lur’e system, which has a linear part that does not change over time and a part that does not have linear memory. For example, the physical constraints of different actuators and the intrinsic physics constructs of materials cause concepts such as dead zone and saturation to create nonlinear behaviors in controlling systems. Stability margin means the resistance of the system to changes in gain and phase in the control loop until the stability of the system is guaranteed. The lack of a unique solution for calculating the efficiency and phase limit in nonlinear systems causes different methods and approaches to be proposed by researchers. In this dissertation, a new approach to calculating the gain margin and phase margin in Lur'e systems is presented as extended circle criterion and its advantages and disadvantages over other existing methods are shown
- Keywords:
- Stability Margin ; Robust Stability ; Phase and Gain Margins ; Extended Circle Criterion ; Nonlinear Systems Stability ; Dynamic Systems Stability ; Nonlinear Systems
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