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<p>This work investigates the event-triggered bumpless transfer control (ETBTC) problem for nonlinear switched singular systems (NSSSs) with state jumps. Firstly, a broader class of nonlinear conditions known as incremental quadratic constraints (IQCs) are considered. Since the full state information of the system is not available, a new circle criterion-based impulsive observer is presented to estimate the unknown states, in which more nonlinear structural and jump information are injected. Then, two novel descriptions of the event-triggered bumpless transfer (BT) performances are proposed to quantify the amplitudes of control input jumps and state jumps. Moreover, an observer-based hybrid event-trigger strategy (ETS) is jointly designed with BT performance to save resources. Then, by using the mode-dependent average dwell time (MDADT) method and multiple Lyapunov function method, some criteria are given to ensure stability and event-triggered BT performance. In addition, Zeno behavior is ruled out from a numerical perspective. Finally, the example of an inverted pendulum is given to verify the efficiency of the control strategy.</p>

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Observer-based event-triggered bumpless transfer control for nonlinear switched singular systems with state jumps

  • 期刊论文

  • 发表日期：

    2026年5月27日

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  • Anqing Yang,
  • Hongpeng Shi,
  • Shuping Ma

摘要

This work investigates the event-triggered bumpless transfer control (ETBTC) problem for nonlinear switched singular systems (NSSSs) with state jumps. Firstly, a broader class of nonlinear conditions known as incremental quadratic constraints (IQCs) are considered. Since the full state information of the system is not available, a new circle criterion-based impulsive observer is presented to estimate the unknown states, in which more nonlinear structural and jump information are injected. Then, two novel descriptions of the event-triggered bumpless transfer (BT) performances are proposed to quantify the amplitudes of control input jumps and state jumps. Moreover, an observer-based hybrid event-trigger strategy (ETS) is jointly designed with BT performance to save resources. Then, by using the mode-dependent average dwell time (MDADT) method and multiple Lyapunov function method, some criteria are given to ensure stability and event-triggered BT performance. In addition, Zeno behavior is ruled out from a numerical perspective. Finally, the example of an inverted pendulum is given to verify the efficiency of the control strategy.