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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.
Wenhai Qi,Yonggui Kao,Xianwen Gao 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.5
The paper deals with the problems of passivity and passification for stochastic systems with Markovianswitching and generally uncertain transition rates. The considered systems are more general, which cover uncertaintransition rates and partly known transition rates as two special cases. By employing the multiple Lyapunov functionand some free-weighting matrices, a state feedback controller is constructed such that the resulted closed-loopsystem is stochastically passive. Some sufficient conditions for the solution to the problem are derived in the formof linear matrix inequalities (LMIs). Finally, a numerical example is given to demonstrate the validity of the mainresults.
Jing Xie,Yonggui Kao,Cai-Hong Zhang,Hamid Reza Karimi 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.3
Quantization is indeed a natural way to take into consideration in the control design of the complexityconstraints for the controller as well as the communication constraints in the information exchange between thecontroller and the plant. This paper is devoted to investigating quantized state-feedback control problems for aclass of continuous-time uncertain singular Markovian jump linear systems (CUSMJLSs) with generally uncertaintransition rates (GUTRs) and input quantization. In this case, each transition rate can be completely unknown oronly its estimate value is known. First, input quantization is introduced, then by introducing new matrix inequalityconditions, sufficient conditions are formulated for quantized state-feedback control of CSMJLUSs with GUTRsand input quantization. Finally, a numerical example is presented to illustrate the effectiveness and efficiency of theproposed results.
New Results on Finite-time Stabilization for Stochastic Systems with Time-varying Delay
Lihua Zhang,Wenhai Qi,Yonggui Kao,Xianwen Gao,Longjiang Zhao 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.2
The paper deals with the problem of finite-time stabilization for stochastic systems with time-varying delay by defining a new criterion for finite-time stability. Firstly, by use of more appropriate Lyapunov-Krasovskii functional (LKF), the difficulties of finite-time stability confronted in system analysis and synthesis can be overcome. Then, a state feedback controller is constructed to guarantee the closed-loop system finite-time stable. New conditions for finite-time stability analysis as well as controller synthesis are established in terms of linear matrix inequality (LMI). Finally, two practical examples demonstrate the validity of the main results.
Luxin Lin,Zhen Liu,Yonggui Kao,Ruiping Xu 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.11
This article is devoted to the exponential stabilization problem of time-varying delay switched systems with nonlinear uncertainties via sliding mode technique. First of all, a non-fragile observer is established to deal with the case that the partial or total measurement of state variables is unavailable, from which a new sliding manifold is constructed. An exponential stability criteria of the dynamics in sliding phase is then devised in accordance with Lyapunov stability theory, linear matrix inequality and average dwell time method. Furthermore, the arrival condition of the designated sliding manifold is satisfied by utilizing the developed adaptive sliding mode controller. At last, the feasibility of the proposed control scheme is confirmed through two illustrative examples.
Jiyang Wang,Wenhai Qi,Xianwen Gao,Yonggui Kao 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.2
The paper is concerned with positive observer design for positive Markovian jump systems with incompletetransition rates and time delays that are mode-dependent and time-varying. Firstly, by applying an appropriateco-positive type Lyapunov-Krasovskii function and free-connection weighting vectors, sufficient conditions areproposed to ensure stochastic stability of the error positive system and existence of the positive observer. All theproposed conditions are derived in linear programming. Finally, an example is given to demonstrate the validity ofthe main results.
Stochastic Stability, ℒ1-gain and Control Synthesis for Positive Semi-Markov Jump Systems
Longjiang Zhao,Wenhai Qi,Lihua Zhang,Yonggui Kao,Xianwen Gao 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.5
This paper treats the problems of stochastic stability, ℒ1-gain and control synthesis for positive semi- Markov jump systems (S-MJSs). The system under consideration involves semi-Markov stochastic process related to Weibull distribution. The main motivation for this paper is that the positive condition sometimes needs to be considered in S-MJSs and the controller design methods in the existing works have some conservation. To deal with these problems, some sufficient conditions for stochastic stability of positive S-MJSs are established by implying the linear co-positive Lyapunov function. Then, some sufficient conditions for ℒ1-gain constraint are also presented, upon which, a state feedback controller is designed by decomposing the controller gain matrix such that the resulting closed-loop system is positive and stochastically stable with ℒ1-gain performance in the form of standard linear programming (LP). The advantages of the new framework lie in the following facts: (1) the weak infinitesimal operator is derived for S-MJSs under the constraint of positive condition and (2) the less conservative stabilizing controller is designed to achieve the desired control performance. Finally, numerical examples are given to demonstrate the validity of the main results.
Zhengtian Wu,Lijian Yang,Baoping Jiang,Yonggui Kao 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.6
This paper is concerned with the problem of finite-time H∞ control for stochastic singular systems with partly known transition rates (TRs). The transition of system parameters follows a finite-state Markov process. Firstly, based on stochastic functional method and linear matrix inequalities (LMIs) technique, sufficient conditions are proposed to ensure finite-time stochastic boundedness (FTSB) and finite-time H∞ stochastic boundedness (FTH∞SB) of considered stochastic singular system. Secondly,by designing a state feedback controller,strictLMI conditions are obtained to guarantee the closed-loop system with partly known TRs to be FTSB and FTH∞SB. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed methods.
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.