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Xin Meng,Cunchen Gao,Baoping Jiang,Zhengtian Wu 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.5
This paper aims to investigate the problem of adaptive sliding mode control (SMC) for a class of variableorder fractional (VOF) uncertain coupled systems. First, a novel VOF integral-type sliding surface composed of nonlinear coupling terms is designed with the aid of VOF calculus. Second, based on graph theory, novel asymptotical stability criteria are obtained for the obtained sliding mode dynamics. Moreover, the finite-time reachability of the predefined VOF integral-type sliding surface is ensured by designing a novel adaptive VOF controller. Finally, two numerical studies are presented to verify the validity and superiority of the proposed control strategy.
Robust Finite-time Control for Neutral Systems with Time-varying Delays via Sliding Mode Observer
Shuqin Wang,Baoping Jiang,Cunchen Gao,Yonggui Kao 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.5
This paper is concerned with the problem of robust finite-time sliding mode control (SMC) for a classof continuous-time uncertain neutral systems with time-varying delays. Firstly, based on the constructed slidingmode observer, an integral sliding surface is put forward on the estimation space. Secondly, the synthesized SMClaw guarantees the finite-time reachability of the predefined sliding surface. Thirdly, through finite-time stabilityanalysis, sufficient conditions are established to guarantee the required performance of the system during bothreaching phase and sliding motion phase. Finally, a practical example is provided to verify the effectiveness of theproposed method.
Yonggui Kao,Baoping Jiang,Cunchen Gao 제어·로봇·시스템학회 2016 International Journal of Control, Automation, and Vol.14 No.5
This paper is concerned with stochastic admissibility and state feedback stabilization for a class ofsingular Markovian jump systems with multiple time-varying delays. The singular matrix E with both modedependentand mode-independent is considered in the system. Firstly, based on Lyapunov functional method andfree-weighting matrix method, sufficient condition is presented in the form of linear matrix inequalities (LMIs) toguarantee the considered system to be stochastically admissible. Secondly, by state feedback controller, sufficientcondition is derived in terms of strict LMIs to ensure the closed-loop system to be stochastically stabilizable. Finally,numerical examples are provided to illustrate the effectiveness of the proposed approaches.
Zhongzheng Liu,Zhen Liu,Baoping Jiang,Cunchen Gao 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.12
In this paper, an innovative sliding mode framework is used to propose an observer-based adaptive control scheme for uncertain switched systems with unknown time-varying delay. First, a state observer with no input information is built incorporating a new sliding manifold (SM) to rebuild the unmeasured state variables, which does not rely on accurate information of the time-delay. By picking a suitable Lyapunov function, using the average dwell time (ADT) approach and linear matrix inequality (LMI) tool, a novel stability criterion for the resultant sliding motion is devised. In addition, to meet the defined SM’s arrival condition, a new adaptive variable structure controller is constructed. Finally, two illustrative examples are given to demonstrate the efficacy of the control method.