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<p>This article, a model predictive controller for continuous singular markovian jump time-delay systems is designed. The inputs to the system satisfy the norm-bounded, we first construct time-delay-dependent a Lyapunov function. Then, by combining the idea and theory of MPC and using the LMI tools, the infinite time domain "min-max" optimization problems are transformed into convex optimization frameworks, which enables the derivation of sufficient conditions for the existence of a model predictive controller in the systems under consideration. The proposed control scheme guarantees stability for the closed-loop system, while also guaranteeing its regularity and impulse-free of impulses. Finally, the practicality and efficacy of the proposed control algorithm were validated using a numerical simulation.</p>

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Model predictive control of continuous-time singular markov jump time-delay linear systems

  • 期刊论文

  • 发表日期：

    2026年7月19日

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  • JiYuan Sun,
  • Fang Gao,
  • Wenbin Chen

摘要

This article, a model predictive controller for continuous singular markovian jump time-delay systems is designed. The inputs to the system satisfy the norm-bounded, we first construct time-delay-dependent a Lyapunov function. Then, by combining the idea and theory of MPC and using the LMI tools, the infinite time domain "min-max" optimization problems are transformed into convex optimization frameworks, which enables the derivation of sufficient conditions for the existence of a model predictive controller in the systems under consideration. The proposed control scheme guarantees stability for the closed-loop system, while also guaranteeing its regularity and impulse-free of impulses. Finally, the practicality and efficacy of the proposed control algorithm were validated using a numerical simulation.