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EventTriggered Stabilization of TimeDelay Dynamical Systems with Quantization Constraint

Golestani, Farzaneh | 2023

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 55787 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Tavazoei, Mohammad Saleh
  7. Abstract:
  8. Time delay and bandwidth limitations are common characteristics of communication channels that cause problems in direct use of classic control strategies in networked control systems. As networked systems become larger in scale and the need to share communication channels by multiple processes and controllers, this issue becomes more apparent. In recent decades, the stabilization of time-delay systems has attracted much attention. One of the most common control methods in such cases is based on the use of predictor feedback controllers. Predictor feedback controllers apply a delay-dependent or delay-independent control signal to the system. On the other hand, event-based control has many advantages over periodic sampling control ones due to less updating of the control signal and the need for less communications and computations. On the other hand, due to the digital nature of the communication channels and the limitation in the communication bandwidth of the network systems, it is necessary to consider quantization constraints in the implementation of control methods. The problem of stabilization of control systems in the presence of quantized signals has attracted a lot of attention in the field of control in recent decades. Among the works done in the field of time-delay systems, just few research works have investigated the stability of such systems with quantized predictor feedback approach. In this thesis, we intend to deal with the problem of stabilization of dynamical systems with input delay by using event-based control feedback in the presence of quantization constraints in order to find a sufficient condition on the delay's upper bound for ensuring the stability of the closed-loop system. The proposed control method is delay-independent truncated predictor state feedback that is a very common control approach in dealing with time-delay systems. The delay in the system is considered as time-varying with unknown value and known/unknown value of its upper bound. Then, we consider delay in sensor side instead of considering input delay (i.e., delay in actuator side). In the rest of this thesis, in order to verify the applicability of the obtained results in the practical applications, we try to design quantized and event-based predictor output feedback controller for blood glucose regulation in type-1 diabetic patients. It is worth mentioning that all analysis that are done in this thesis for stabilization of linear systems can be developed to be applied for stabilization of a class of Lipschitz nonlinear systems.
  9. Keywords:
  10. Time Delay ; Unknown Delay ; Quantization ; Delay-Independent Truncated Predictor Feedback ; Event-Triggered Control ; Dynamical Systems ; Feedback Controller

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