Observer-based Adaptive Control for a Class of Uncertain Switched Systems with Time-delay: A Sliding Mode Approach

Lin, Luxin; Liu, Zhen; Kao, Yonggui; Xu, Ruiping

doi:10.1007/s12555-019-0955-y

Cited by 8 publications

(2 citation statements)

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“…Remark In recent years, sliding mode control has gained considerable traction among researchers investigating switched systems, as exemplified in the literature [25, 26]. Notably, the integral‐type sliding mode surfaces devised in these references are mode‐dependent, rendering their attainability problematic due to the frequent transitions between different operational modes.…”

Section: Resultsmentioning

confidence: 99%

“…(3) In the sliding mode layer, we create a mode-independent integral sliding mode surface for each follower, which can reduce the negative impact of the sliding mode chattering phenomenon. The proposed sliding mode surface design is more suitable for practical systems than the conventional sliding mode manifold construction strategy [25,26], which relies on the switching of modes so that the chattering behavior of the sliding mode reduces the service life of the machine.…”

Section: Introductionmentioning

confidence: 99%

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Leader‐following consensus of nonlinear singular switched multi‐agent systems via sliding mode control

Cai,

Yi,

et al. 2024

Asian Journal of Control

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In this paper, the sliding mode control algorithm is proposed for solving the leader‐following consensus issue of singular switched multi‐agent systems. The communication topology herein is considered to be directed interacted. To deal with the effects of nonlinearity and singularity, a novel integral‐type sliding mode control protocol is introduced in algorithmic design, which enforces the state trajectories of systems moving on the constructed sliding manifold. The common integral‐type sliding mode gain matrix designed in distributed algorithms herein avoids the frequent switching that may cause the failure and instability of the control framework. Moreover, in the existing works, the developed results on consensus for singular switched multi‐agent systems are almost based on the average dwell time method, and how to construct a desired control input in the frame of the mode‐dependent average dwell time remains a control dilemma. By presenting a general integral‐type sliding mode control rule based on the mode‐dependent average dwell time, this article implements the sliding mode control for the singular switched multi‐agent systems under interest. With the aid of Lyapunov method, the convergence of error systems for multi‐agent systems is obtained. Finally, numerical simulations and application are presented, which illustrate the validity of designed algorithm.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%