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Sliding Mode Control for a Class of Nonlinear Ito Stochastic Systems with State and Input Delays
Yugang Niu,Bei Chen,Xingyu Wang 제어·로봇·시스템학회 2009 International Journal of Control, Automation, and Vol.7 No.3
This paper deals with the problem of sliding mode control (SMC) for a class of nonlinear stochastic systems. The nonlinear uncertainties are unknown and unmatched. There exist state and input delays. A special switching function is designed such that the insensitivity of the system can be guaranteed throughout the entire response of the system from the initial time instance. Both the sliding surface and the sliding mode controller exist if a set of matrix inequalities is feasible. A simulation example is given to illustrate the proposed method.
H∞ Control for Networked Systems with Data Packet Dropout
Yugang Niu,Tinggang Jia,Xingyu Wang 제어·로봇·시스템학회 2010 International Journal of Control, Automation, and Vol.8 No.2
This paper considers the control problem of networked control systems, respectively, for the two cases that system state is available and unavailable. It is assumed that there exists a communication network in the feedback loop, and multiple data packet dropouts may happen. An estimation method is introduced to compensate the lost data. And then, the design of control is considered for the states available and states unavailable, respectively, and some sufficient conditions are derived such that the closed-loop systems are exponentially mean-square stable with prescribed disturbance attenuation level.
Guaranteed Cost Sliding Mode Control of Switched Systems with Known Sojourn Probabilities
Haijuan Zhao,Yugang Niu 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.6
This paper investigates the problem of the optimal guaranteed cost sliding mode control (SMC) for a class of uncertain switched systems, in which the sojourn probabilities staying in each subsystem are available. By introducing a set of stochastic variables, a new type of switched system model with known sojourn probabilities is constructed. And then, the SMC law is synthesized such that the reachability of the specified common sliding surface can be ensured. Moreover, some sufficient conditions are derived to ensure the mean-square stability of the closed-loop system with quadratic guaranteed cost function. The optimal solution of the guaranteed SMC scheme is established for the closed-loop systems. Finally, a numerical example is provided to illustrate the proposed method.
Finite-time Sliding Mode Control of Markovian Jump Systems Subject to Actuator Faults
Zhiru Cao,Yugang Niu,Haijuan Zhao 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.5
This paper addresses the problem of finite-time boundedness (FTB) for a class of Markovian jump systems (MJSs) via sliding mode control (SMC) technique, in which there may happen actuator faults in all of control channels and mismatched external disturbance. By means of the available boundary information of actuator faults, a suitable sliding mode controller is designed such that state trajectories are driven to sliding surface before a specified finite (possibly short) time interval. Furthermore, a partitioning strategy is introduced to derive the sufficient conditions for ensuring the FTB of the closed-loop systems over the whole specified finite-time interval including the reaching phase and the sliding motion phase. Finally, a practical example are provided from an F-404 aircraft engine system to illustrate the proposed method.
Robust H∞ Control for Discrete Switched Systems with Random Sensor and Actuator Faults
Yonghui Liu,Yugang Niu 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.6
In this paper, the problem of robust H∞ control is considered for a class of discrete switched systems with state unavailable. A key feature of the controlled system is that the random faults are assumed to occur from the sensor to the controller and from the controller to the actuator, simultaneously. Moreover, the missing probability of each channel is governed by a random variable that satisfying certain probabilistic distribution in the interval [0,θ] (θ≥1), which is a more general form of fault model. First, an observer-based feedback controller is designed. And then, by adopting the average dwell time method, a sufficient condition for the mean-square exponential stability and a guaranteed performance of the system are obtained. Finally, a numerical simulation example is given to demonstrate the effectiveness of the proposed method.
Sliding Mode Control for Uncertain Switched Systems Subject to Actuator Nonlinearity
Yonghui Liu,Yugang Niu,Yuanyuan Zou 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.1
This paper considers the problem of sliding mode control for a class of uncertain switched systems subject to sector nonlinearities and dead-zone. In the control systems, each subsystem is not required to share the same input channel, which is usually assumed in the previous works. By employing a weighted sum of the input matrices, a common sliding surface is designed and the corresponding sliding mode dynamics is obtained. A switching signal based on the average dwell time strategy is fur-ther proposed to ensure the exponential stability of the sliding mode dynamics. Moreover, it is shown that the reachability of the specified sliding surface can be ensured despite the presence of actuator nonlinearity, parameter uncertainties and external disturbances. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.
Observer-Based H∞ Control for Networked Systems with Consecutive Packet Delays and Losses
Fuwen Yang,Yugang Niu,Wu Wang,Yongmin Li 제어·로봇·시스템학회 2010 International Journal of Control, Automation, and Vol.8 No.4
This paper considers the control problem for networked control systems (NCSs) with unreliable data communication. The unreliable data communication simultaneously exists in both control channel (from controller to actuator) and measurement channel (from sensor to controller) and may cause consecutive packet delays and losses. A new model is established based on all possible consecutive packet delays and losses. The observer-based controller is designed to exponentially stabilize the networked system in the sense of mean square, and also achieve the prescribed H∞ disturbance attenuation level. An iterative algorithm is developed to compute the optimal H∞ disturbance attenuation and the controller parameters by solving the semi-definite programming problem via interior-point approach. An illustrative example is provided to show the applicability of the proposed method.
Mean Square Detectability of LTI Systems over Finite-State Digital Block-Fading Channels
Wei Chen,Yuanyuan Zou,Nan Xiao,Yugang Niu 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.2
This paper studies the mean square quadratic (MSQ) detectability for multi-output networked systemsover finite-state digital block-fading channels. The packet-loss rate of each digital fading channel depends on thechannel power gain, as well as packet length and power level used for transmission. A finite-state random processis introduced to model time-varying fading channels, which characterizes various configurations of physical communicationenvironment and/or different channel fading amplitudes. Necessary and sufficient conditions for MSQdetectability over finite-state Markov digital block-fading channels are given in the form of algebraic Riccati equationsor linear matrix inequalities (LMIs). The estimation gain is given as a function of estimated/observed channelstate. In addition, explicit conditions on network for MSQ detectability over finite-state independent identicallydistributed (i.i.d.) digital block-fading channels are presented in terms of the unstable poles of the multi-outputplant. Finally, an application to Gilbert-Elliott channels (GECs) is provided to demonstrate the derived results.
Shuhan Wang,Sai Zhou,Jun Song,Xinyu Lv,Yugang Niu 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.11
A finite-time passive controller is developed in this paper for Lipschitz nonlinear systems subject to singular perturbation, time-delays, and parameter uncertainties. Based on the singular perturbation theory and passive control theory, a robust passive controller is drafted for the finite-time interval though the unknown and bounded exogenous disturbances. Some sufficient conditions are obtained for the existence of finite-time robust passive controller, which ensures the resulting closed-loop system is finite-time bounded for all allowable uncertainties. A simulation example is provided to illustrate the validity of the proposed controller.