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Reduced nonlinear unknown inputs observer using MVT and GA.

ISA transactions·2020
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Observer for nonlinear systems using mean value theorem and particle swarm optimization algorithm.

Ramzi Ben Messaoud1

  • 1Laboratoire de nanomatériaux et des systèmes pour les énergies renouvelables, Centre de Recherches et des Technologies de l'Energie Technopole Borij, Cedria, Hammam Lif, Tunisia.

ISA Transactions
|November 8, 2018
PubMed
Summary

A novel observer design for nonlinear systems uses the mean value theorem and particle swarm optimization. This method avoids linear matrix inequality, ensuring stability via Lyapunov functions for secure communication applications.

Keywords:
Mean value theoremNonlinear observerNonlinear systemParticle swarm optimizationState estimation

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Area of Science:

  • Control Engineering
  • Nonlinear Systems Theory
  • Optimization Algorithms

Background:

  • Observer design is crucial for estimating states in nonlinear systems.
  • Traditional methods often rely on complex techniques like Linear Matrix Inequality (LMI).
  • There is a need for observers with systematic gain determination and robust stability analysis.

Purpose of the Study:

  • To propose a new observer design for nonlinear systems.
  • To incorporate estimation error and mean value theorem parameters into the observer structure.
  • To validate the observer's performance in practical applications like secure communication.

Main Methods:

  • Utilizing the Mean Value Theorem (MVT) and Particle Swarm Optimization (PSO).
  • Employing a classical quadratic Lyapunov function for stability analysis, avoiding LMI.
  • Systematic determination of observer gains.

Main Results:

  • A new observer structure is developed based on MVT and PSO.
  • Stability is proven using a Lyapunov function without LMI.
  • The observer's effectiveness is demonstrated through simulations in secure communication scenarios.

Conclusions:

  • The proposed observer design offers a viable alternative for nonlinear systems.
  • The method provides systematic gain calculation and robust stability analysis.
  • The observer is effective for practical applications such as secure communication.