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August 19, 2026Journal of Vibration and Control

Robust stability–guaranteed suboptimal decentralized control of interconnected nonlinear systems with structured parametric uncertainties

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Authors

AFAhmed FeydiIKIskander KtaifiSESalwa Elloumi

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Overview

Simulation study demonstrates robust stabilization in interconnected nonlinear systems using state-dependent Riccati equations, indicating superior performance over standard linear methods.

Key Points

  • To develop a robust, decentralized finite-horizon suboptimal control strategy that guarantees global asymptotic stability for interconnected nonlinear systems subject to structured parametric uncertainties.
  • Extended the state-dependent Riccati equation framework to decentralized finite-horizon (DF-SDRE) settings for interconnected multi-subsystem architectures.
  • Derived sufficient conditions for global asymptotic stability using a quadratic Lyapunov function.
  • Validated controller performance via numerical simulations on a benchmark model of three interconnected inverted pendulums compared against a decentralized linear quadratic regulator (D-LQR).
  • Established theoretical conditions guaranteeing global asymptotic stability despite structured parametric uncertainties.
  • Demonstrated robust stabilization across interconnected subsystems in numerical simulations.
  • Achieved superior transient dynamic performance relative to decentralized LQR control.

Cite This Study

Feydi et al. (2026) studied this question.

synapsesocial.com/papers/6a85636403308d306e2d6855https://doi.org/10.1177/10775463261476307
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