Event-triggered control for linear continuous switched singular systems

This article studies asynchronous switching for a class of switched descriptor systems (SDSs) under multiple event-triggered schemes (ETSs). First, by using a mode-dependent coordinates transformation, a SDS is equivalently transformed into a reduced-order ordinary switched linear system with state jumps. Then, multiple ETSs are used to transmit the state and switching signal information. The asynchronism between system modes and controller modes inevitably happens in a switching interval. Next, by constructing a controller-mode-dependent Lyapunov functional and using the asynchronous switching strategy, an exponential stability criterion is presented for the closed-loop system with average dwell time switching signals. Meanwhile, the state feedback controller and multiple ETSs are codesigned. Besides, the Zeno behavior is avoided. In the end, the validity of the proposed method is demonstrated by a numerical example.

Section: Event‐triggered Controlmentioning

confidence: 99%

Section: Event‐triggered Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Multiple event‐triggered schemes for a class of switched descriptor systems with asynchronous switching

Shi

Zhao

2021

Composite event‐triggered H_∞ control for nonlinear switched singular systems with a mode‐dependent triggering strategy

Yang

Zhao

Shi

et al. 2023

SummaryThis paper considers the event‐triggered control problem of nonlinear switched singular systems (NSSSs) with incremental quadratic constraints (IQCs) via a mode‐dependent hybrid triggering strategy. First, impulsive control is introduced to reduce the effect of impulse caused by switching, and the closed‐loop system is modeled as an impulsive NSSS. Then, a novel mode‐dependent hybrid event‐triggering strategy (ETS) consisting of disturbance‐influenced ETS and Lyapunov‐function‐dependent ETS is constructed to avoid Zeno behavior and asynchronous phenomena. Based on this ETS and admissible edge‐dependent average dwell time (AED‐ADT) method, some new sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to ensure that the closed‐loop system is regular, impulse‐free, has a unique solution, and is globally uniformly asymptotically stable (GUAS) with a weighted performance. Further, Zeno behavior is excluded by calculating the minimum lower bound of inter‐event time. Finally, a numerical example and a practical application are proposed to demonstrate the validity of the results.

Aperiodic sampled‐data stabilization of switched singular systems with asynchronous switching: A hybrid control approach

Lin,

Wu,

Xiao

et al. 2024

This article investigates the sampled‐data stabilization problem for a class of switched singular systems with aperiodic sampling. The asynchronous switching between the plant and the switched controller caused by sampling is considered. Unlike normal systems, the conventional zero‐order hold type sampled‐data control law may be inapplicable to singular systems. This is because under that control law, the algebraic equations of singular systems may have no solutions at sampling instants. To cope with this problem, a new hybrid control law composed of a mode‐dependent impulsive controller and a mode‐dependent sampled‐data state feedback controller is devised. The impulsive controller adjusts the values of differential substate at sampling instants so that the algebraic equations are solvable. Then, by constructing a novel piecewise sampling‐time‐dependent Lyapunov function and using the average dwell time method as well as convex technique, a sampling‐range‐dependent sufficient condition for exponential stability of the resulting closed‐loop system is established. Moreover, an optimization‐based method is proposed to solve the hybrid controller gains. Simulation results on two examples including a mechanical arm system show the effectiveness of the proposed control method.