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Nan Hou1,2,3,4,5, Yanshuo Wu2,4,6, Hongyu Gao1,2,3,4,6

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Summary
This summary is machine-generated.

This study designs an observer-based proportional-integral-derivative (PID) controller for uncertain nonlinear systems facing integral measurements, denial-of-service (DoS) attacks, and noise. The controller ensures exponential ultimate boundedness in mean square for improved system performance.

Keywords:
DoS attackPID controlbinary encoding schemeintegral measurementsparameter uncertainty

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Area of Science:

  • Control Systems Engineering
  • Nonlinear System Analysis
  • Stochastic Systems

Background:

  • Integral measurements introduce delays in sensor data acquisition.
  • Binary Encoding Schemes (BES) are used for signal transmission, susceptible to bit flipping.
  • Denial-of-Service (DoS) attacks can disrupt communication channels.

Purpose of the Study:

  • Design an observer-based PID controller for uncertain nonlinear systems.
  • Ensure exponential ultimate boundedness in mean square (EUBMS) performance.
  • Minimize the ultimate upper bound of the controlled output.

Main Methods:

  • Utilizing Lyapunov stability theory and stochastic analysis.
  • Employing matrix inequality methods for controller design.
  • Addressing parameter uncertainty, integral measurements, DoS attacks, and bit flipping using Bernoulli random variables.

Main Results:

  • A sufficient condition for designing the observer-based PID controller is developed.
  • The closed-loop system achieves guaranteed EUBMS performance.
  • Controller gain matrices are explicitly obtained by solving an optimization problem with matrix inequality constraints.

Conclusions:

  • The proposed observer-based PID controller effectively manages uncertain nonlinear systems under various disturbances.
  • The method guarantees EUBMS performance with a minimized ultimate bound for the controlled output.
  • Simulation examples validate the efficacy of the developed control strategy.