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Quantized Sliding Mode Control for Networked Markovian Jump Systems under Round-robin Protocol: The Output Feedback Case

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INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS 2021年第8期19卷 2674-2686页

作者： Nie, Lijuan Chen, Dongyan Hu, Jun Harbin Univ Sci & Technol Heilongjiang Prov Key Lab Optimizat Control & Int Harbin 150080 Peoples R China Univ South Wales Sch Engn Pontypridd CF37 1DL M Glam Wales

This paper is concerned with the problem of protocol-based sliding mode control for a class of uncertain discrete networked Markovian jump systems with stochastic perturbation and time-varying delays. An improved dynamic uniform quantizer for processing system output signals is proposed to mitigate communication constraints. Next, a Round-Robin protocol with zero-order holders is introduced in the communication channels from the controller to the actuators to reduce potential network congestion and collision. Then, in the output feedback case, a new sliding surface is designed based on the quantized output, and a mode-dependent sliding mode controller is constructed using protocol scheduling signals. Additionally, a sufficient condition is derived to ensure that the closed-loop system is asymptotically stable in the mean square on a specific sliding surface despite the existence of the time-varying delays. Subsequently, the reachability of the state trajectories is guaranteed, where a sufficient criterion is proposed by constructing new Lyapunov-Krasovskii functional as well as using the stability theory. Furthermore, the cone complementary linearization iteration algorithm is employed to tackle the non-convex problem during the controller design. Finally, a simulation example demonstrate the effectiveness and feasibility of the protocol-based sliding mode control method.

关键词： cone complementary linearization dynamic uniform quantizer networked Markovian jump systems sliding mode control round-robin protocol

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Novel results on observer-based control of one-sided Lipschitz systems under input saturation

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EUROPEAN JOURNAL OF CONTROL 2020年 53卷 29-42页

作者： Rehan, Muhammad Ahmad, Sohaira Hong, Keum-Shik PIEAS Dept Elect Engn Islamabad Pakistan Univ Wah Wah Engn Coll Wah Cantt Pakistan Pusan Natl Univ Sch Mech Engn 2 Busandaehak Ro Busan 46241 South Korea

This paper addresses the design of an observer-based control system for the one-sided Lipschitz (OSL) nonlinear systems under input saturation. A nonlinear matrix inequality-based control law for the nonlinear systems under input saturation and unavailable states is derived to ensure convergence of the state vector to the origin. A decoupling approach is provided for attaining simple design constraints for computing the controller and observer gains through a cone complementary linearization algorithm. In contrast to the conventional decoupling methods, the proposed approach considers OSL nonlinearity and saturation function to demonstrate both the necessity and sufficiency of the decoupled design constraints for the nonlinear matrix inequality-based main condition. To the best of our knowledge, observer-based stabilization of OSL systems under input saturation has been addressed for the first time. Novel results for the observer-based control of input-constrained Lipschitz nonlinear systems are provided as specific scenarios of the proposed results. Simulation results of the proposed control scheme to a flexible-joint robot and a complex nonlinear circuit are presented. (C) 2019 European Control Association. Published by Elsevier Ltd. All rights reserved.

关键词： Observer-based control Input saturation One-sided Lipschitz nonlinearity Decoupling technique cone complementary linearization

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Robust Estimation-Based Control for Generalized One-Sided Lipschitz Nonlinear Systems in the Presence of Output Delays

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IEEE ACCESS 2024年 12卷 1201-1216页

作者： Mirza, Muhammad Sohaib Ahmad, Sohaira Masood, Haris Ali, Muhammad Umair Zafar, Amad Han Kim, Seong Univ Wah Wah Engn Coll Dept Elect Engn Wah Cantt 47040 Pakistan Sejong Univ Dept Intelligent Mechatron Engn Seoul 05006 South Korea

This study presents a robust estimation-based control approach for nonlinear systems with generalized one-sided Lipschitz (OSL) conditions projected for delay measurement. A control scheme was devised for this family of nonlinear systems by deploying the Lyapunov-Krasovskii (LK) method for the delayed system and by encompassing the generalized OSL inequality without using the quadratic inner boundedness (QIB) condition to overcome the conservatism introduced by the QIB condition. The stability of the resulting system is attained by employing a delay-range-dependent technique, while the derivative of the LK functional is scouted using Wirtinger's inequality, which shrinks the conservativeness of typical Jensen's inequality, resulting in stability in the form of linear matrix inequalities (LMIs). Moreover, a sufficient and necessary solution for the main results was achieved through a decoupling mechanism to acquire the controller and estimator gains simultaneously using iterative optimization tools. To attenuate the effects of external disturbances on the system, the L2 gain of the error with reference to the system was computed and incorporated into the dynamics. Furthermore, the LMI-based results are handled using the cone complementary linearization (CCL) method to authenticate the controller and observer gains via convex optimization. Finally, a numerical example demonstrates the success of the presented robust observer control formation for generalized OSL nonlinear systems in the presence of output delays.

关键词： Robust observer-based control generalized one-sided Lipschitz nonlinearity cone complementary linearization Wirtinger's inequality

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Delay-dependent guaranteed-cost control based on combination of Smith predictor and equivalent-input-disturbance approach

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ISA TRANSACTIONS 2016年 62卷 215-221页

作者： Gao, Fang Wu, Min She, Jinhua He, Yong Cent S Univ Sch Informat Sci & Engn Changsha 410083 Hunan Peoples R China China Univ Geosci Sch Automat Wuhan 430074 Hubei Peoples R China Tokyo Univ Technol Sch Engn Hachioji Tokyo 1920982 Japan

This paper presents a new system configuration and a design method to improve control performance for a system with an input time delay and disturbances. The equivalent-input-disturbance approach is extended to handle a time-delay system. It is combined with the Smith predictor to reject disturbances. A delay-dependent stability condition is devised in terms of a matrix inequality by using the free weighting matrix approach. The gain of the observer is designed by applying the cone complementary linearization method to the matrix inequality. A numerical example demonstrates the validity of the method. (C) 2016 ISA. Published by Elsevier Ltd. All rights reserved.

关键词： cone complementary linearization Equivalent input disturbance (EID) Free-weighting matrix Guaranteed-cost control Smith predictor Time delay

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Multi-Rate Sampled-Data Controller Design for Vehicle Active Suspension Systems

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IEEE CONTROL SYSTEMS LETTERS 2023年 7卷 3349-3354页

作者： Du, Guixiang Yang, Te Chen, Guoliang Xie, Xiangpeng Xia, Jianwei Liaocheng Univ Sch Math Sci Liaocheng 252000 Shandong Peoples R China Nanjing Univ Posts & Telecommun Inst Adv Technol Nanjing 210023 Peoples R China

In this letter, the multi-rate sampled-data control problem of active suspension systems with three control loops is investigated under the framework of integral quadratic constraints. For this, three main problems are solved. Firstly, the uncertainties caused by sampled-data and time delay are represented by time-varying operators, and the stability equivalent feedback interconnections are given by model transformation. Secondly, the stability and H-infinity performance constraints are given by analyzing the norm of the operators. Thirdly, for the controller design, combined with the cone complement linearization method, the nonconvex matrix inequality is approximately transformed into a convex optimal problem. Finally, the actual experiment shows that the sampled-data frequency of the three control loops of the active suspension systems do not need to be consistent, the controller design is more flexible and the control effect is better.

关键词： Multi-rate sampled-data H infinity control time delay cone complementary linearization robust synthesis

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Robust H_∞ output feedback control for uncertain complex delayed dynamical networks

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COMPUTERS & MATHEMATICS WITH APPLICATIONS 2011年第1期62卷 497-505页

作者： Li, Shukai Zhang, Jianxiong Tang, Wansheng Tianjin Univ Inst Syst Engn Tianjin 300072 Peoples R China

In this paper, the robust H-infinity control problem of uncertain complex delayed dynamical networks with non-identical nodes is investigated. The dynamic output feedback controllers are designed to ensure robustly global stability and a smaller prescribed H-infinity disturbance attenuation level for the resulting closed-loop systems. The controller design problem can be solved by a cone complementary linearization algorithm involving linear matrix inequality (LMI) conditions. A numerical example is given to illustrate the effectiveness of the proposed method. (C) 2011 Elsevier Ltd. All rights reserved.

关键词： Complex networks Dynamic output feedback H-infinity control cone complementary linearization Linear matrix inequalities

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Stabilization Based Networked Predictive Controller Design for Switched Plants

Stabilization Based Networked Predictive Controller Design f...

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3rd International Conference on Computing Communication and Networking Technologies (ICCCNT)

作者： Routh, Avijit Das, Sourav Das, Saptarshi Pan, Indranil Jadavpur Univ Dept Power Engn Salt Lake CampusLB-8Sect 3 Kolkata 700098 India Natl Inst Sci & Technol Dept Elect & Instrumentat Engn Berhampur 761008 Orissa India Univ Southampton Commun Signal Proc & Control Grp Sch Elect & Comp Sci Southampton SO17 1BJ Hants England

Stabilizing state feedback controller has been designed in this paper for a switched DC motor plant, controlled over communication network. The switched system formulation for the networked control system (NCS) with additional switching in a plant parameter along with the switching due to random packet losses, have been formulated as few set of non-strict Linear Matrix Inequalities (LMIs). In order to solve non-strict LMIs using standard LMI solver and to design the stabilizing state feedback controller, the cone complementary linearization (CCL) technique has been adopted. Simulation studies have been carried out for a DC motor plant, operating at two different sampling times with random switching in the moment of inertia, representing sudden jerks.

关键词： cone complementary linearization Linear Matrix Inequality (LMI) Networked Control System (NCS) stabilization

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H∞ Model Reduction of Takagi-Sugeno Fuzzy Stochastic Systems

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IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS 2012年第6期42卷 1574-1585页

作者： Su, Xiaojie Wu, Ligang Shi, Peng Song, Yong-Duan Harbin Inst Technol Space Control & Inertial Technol Res Ctr Harbin 150001 Peoples R China Univ Glamorgan Dept Comp & Math Sci Pontypridd CF37 1DL M Glam Wales Victoria Univ Sch Sci & Engn Melbourne Vic 8001 Australia Univ S Australia Sch Math & Stat Adelaide SA 5001 Australia Chongqing Univ Sch Automat Chongqing 400044 Peoples R China

This paper is concerned with the problem of H-infinity model reduction for Takagi-Sugeno (T-S) fuzzy stochastic systems. For a given mean-square stable T-S fuzzy stochastic system, our attention is focused on the construction of a reduced-order model, which not only approximates the original system well with an H-infinity performance but also translates it into a linear lower dimensional system. Then, the model reduction is converted into a convex optimization problem by using a linearization procedure, and a projection approach is also presented, which casts the model reduction into a sequential minimization problem subject to linear matrix inequality constraints by employing the cone complementary linearization algorithm. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed methods.

关键词： cone complementary linearization H-infinity model reduction stochastic systems Takagi-Sugeno (T-S) fuzzy systems

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Fault-tolerant control for time-delay systems via output dynamical feedback

Fault-tolerant control for time-delay systems via output dyn...

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7th World Congress on Intelligent Control and Automation

作者： Qian, Wei Liu, Juan Sun, Youxian Henan Polytech Univ Dept Comp Sci & Technol Jiaozuo 454000 South Korea Zhejiang Univ State Key Lab Ind Ctrl Technol Hangzhou 310027 Peoples R China Henan Polytechn Univ Dept Math & Informat Sci Jiaozuo 454000 Peoples R China

ISBN: (纸本)9781424421138

The issue of fault-tolerant control for a class of time-delay systems with sensor failures was investigated. Attention was focused on the design of output dynamical feedback controller which guaranteed the asymptotical stability of the closed-loop systems even when the sensor failed. Based on the [0, sigma] actuator model of failure and delay-dependent stability criterion for nominal time-delay systems, by introducing nonlinear transformation, the nonlinear inequality was translated into linear inequality, the sufficient conditions for the existence of feedback controller are obtained. Moreover, the expression for the desired controller is given by using the LMI and the cone complementary linearization iterative algorithm. Numerical examples are presented to illustrate the effectiveness of the method.

关键词： time-delay systems fault-tolerant output dynamical feedback cone complementary linearization linear matrix inequality (LMI)

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ICPS multi-target constrained comprehensive security control based on DoS attacks energy grading detection and compensation

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Journal of Measurement Science and Instrumentation 2024年第4期15卷 518-531页

作者： HAN Yinlong HAN Xiaowu School of New Energy Engineering Jiuquan Vocational Technical CollegeJiuquan 735000China School of Intelligent Manufacturing and Control Technology Xi’an Mingde Institute of TechnologyXi’an 710000China

Aiming at the industry cyber-physical system(ICPS)where Denial-of-Service(DoS)attacks and actuator failure coexist,the integrated security control problem of ICPS under multi-objective constraints was ***,from the perspective of the defender,according to the differential impact of the system under DoS attacks of different energies,the DoS attacks energy grading detection standard was formulated,and the ICPS comprehensive security control framework was ***,a security transmission strategy based on event triggering was *** the DoS attack energy classification detection mechanism,for large-energy attacks,the method based on time series analysis was considered to predict and compensate for lost ***,on the basis of passive and elastic response to small energy attacks,the active defense capability against DoS attacks was *** by introducing the conecomplement linearization algorithm,the calculation methods of the state and fault estimation observer and the integrated safety controller were deduced,the goal of DoS attack active and passive hybrid intrusion tolerance and actuator failure active fault tolerance were ***,a simulation example of a four-capacity water tank system was given to verify the validity of the obtained conclusions.

关键词： industry cyber-physical system(ICPS) Denial-of-Service(DoS)attacks energy grading detection security event triggering mechanism time series analysis methods cone complementary linearization

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