State bounding estimation for a linear continuous-time singular system with time-varying delay

In this paper, the mixed performance and reachable set of uncertain discrete systems with slow variation interval time-varying delay are considered. The original uncertain discrete systems with interval time-varying delay are first transformed into a switched system. Then, the proposed improved results are used to guarantee the stability and reachable set of the uncertain system with slow variation interval time-varying delay. The mixed performance (H2/H∞) can be derived in the same formulation simultaneously. The design scheme of robust switched control is also developed in this paper. The gains of the controller can be designed and switched to achieve stabilization and mixed performance of the system according to the delay value. Some comparisons with published results are made to show the main contribution of the proposed approach. Finally, some numerical examples are illustrated to show the main results.

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“…Example 1. Consider the uncertain discrete time-delay system (18) with (19) and the following parameters:…”

Section: Illustrative Examplesmentioning

confidence: 99%

“…The reachable set of a control system is used to show the set containing all states of the system reachable from the origin for a bounded peak disturbance [4,6,10,12,[16][17][18]. In [4], the reachable set of systems of a switched system was investigated by a multiple Lyapunov strategy.…”

Section: Introductionmentioning

confidence: 99%

Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations

Lien

Chang

et al. 2021

Mathematics

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“…A switched singular system means that the system contains at least one singular subsystem. These systems widely exist in power systems, networked control systems, robotics and other practical systems [13][14][15]. Therefore, the study of switched singular systems has attracted the attention of many workers, and has achieved rich research results [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Finite-time stabilization of switched nonlinear singular systems with asynchronous switching

Wang

2021

J Inequal Appl

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This paper is concerned with the finite-time stabilization of a class of switched nonlinear singular systems under asynchronous control. Asynchronism here refers to the delays in switching between the controller and the subsystem. First, the dynamic decomposition technique is used to prove that such a switched singular system is regular and impulse-free. Secondly, based on the state solutions of the closed-loop system in the matched time period and the mismatched time period of the system instead of constructing a Lyapunov function, the sufficient conditions for the finite-time stability of the asynchronous switched singular system are given, there is no limit to the stability of subsystems. Then, the mode-dependent state feedback controller that makes the original system stable is derived in the form of strict linear matrix inequalities. Finally, numerical examples are given to verify the feasibility and validity of the results.

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Observer-based Extended Dissipative Control for Delayed Singular Markovian Jump Systems via Relaxed Lyapunov-Krasovskii Functional

Xin

Zhuang²,

Xia³

et al. 2022

Int. J. Control Autom. Syst.

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State bounding estimation for a linear continuous-time singular system with time-varying delay

Cited by 4 publications

References 47 publications

Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations

Reachable Set and Robust Mixed Performance of Uncertain Discrete Systems with Interval Time-Varying Delay and Linear Fractional Perturbations

Finite-time stabilization of switched nonlinear singular systems with asynchronous switching

Observer-based Extended Dissipative Control for Delayed Singular Markovian Jump Systems via Relaxed Lyapunov-Krasovskii Functional

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