This study is devoted to the problem of designing a robust output-feedback discrete-time sliding mode control (ODSMC) for the networked systems involving both measuring and actuating data packet losses. Packet losses ...
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This study is devoted to the problem of designing a robust output-feedback discrete-time sliding mode control (ODSMC) for the networked systems involving both measuring and actuating data packet losses. Packet losses in the networked control systems (NCSs) have been modelled by utilising the probability and the characteristics of the sources and the destinations. Here, the well-known bernoulli random binary distribution is used to model consecutive packet losses in the NCSs. In this study, first, a robust observer-based discrete-time sliding mode control is proposed for the NCSs including random packet losses. The packet losses occur in the channels from the sensors to the controller and the channels from the controller to the actuators. Then, using the notion of exponential mean square stability, the boundedness of the obtained closed-loop system is analysed with a linear matrix inequality approach. Our proposed robust ODSMC can be applied to unstable NCSs, and there is no need to stabilise the underlying system in advance. Illustrative examples are presented to show the effectiveness of the proposed approach.
This study is concerned with the problem of stabilisation for a class of two-dimensional (2D) nonlinear systems with intermittent measurements and sector nonlinearities. The intermittent measurement is modelled by a s...
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This study is concerned with the problem of stabilisation for a class of two-dimensional (2D) nonlinear systems with intermittent measurements and sector nonlinearities. The intermittent measurement is modelled by a stochastic variable satisfying the bernoulli random binary distribution. Our attention is focused on the design of a state feedback controller for such 2D stochastic system described by the Roesser model, such that the closed-loop system is mean-square asymptotically stable. A sufficient condition is established by means of linear matrix inequalities technique, and formulae can be given for the control law design. The result is also extended to more general cases where the system matrices contain uncertain parameters. Numerical examples are also given to illustrate the effectiveness of proposed approach.
In this study, the authors are concerned with the observer-based quantised H-infinity control problem for a class of discrete-time stochastic systems with random communication delays. The system under consideration in...
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In this study, the authors are concerned with the observer-based quantised H-infinity control problem for a class of discrete-time stochastic systems with random communication delays. The system under consideration involves signals quantisation, state-dependent disturbance as well as random communication delays. The measured output and the control input quantisation are considered simultaneously by using the sector bound approach, while the random communication delays from the sensor to the controller and from the controller to the plant are modelled by a linear function of the stochastic variable satisfying bernoulli random binary distribution. It is aimed at designing an observer-based controller such that the dynamics of the closed-loop system is guaranteed to be exponentially stable in the mean square, and a prescribed H-infinity disturbance attenuation level is also achieved. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.
This study concerns the problem of asynchronous H-infinity filtering in relation to a class of two-dimensional (2D) Markov jump systems. The asynchronous phenomenon is considered to occur in a random way, and the mism...
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This study concerns the problem of asynchronous H-infinity filtering in relation to a class of two-dimensional (2D) Markov jump systems. The asynchronous phenomenon is considered to occur in a random way, and the mismatch behaviour is determined by a stochastic variable with bernoulli random binary distribution. A stochastic parameter-dependent approach is proposed for the design of H-infinity filter such that, for any admissible random mismatch, the filtering error system is mean-square asymptotically stable and has a prescribed H-infinity performance level. Moreover, a key relationship of the H-infinity performance between the results presented and the classical mode-dependent, mode-independent filtering is demonstrated. A numerical example is provided to illustrate the effectiveness and advantage of the developed theoretical results.
This study investigates the problem of fuzzy predictive control of non-linear systems with imperfect communication links. Packet loss (which appears typically in a network environment) is assumed to happen intermitten...
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This study investigates the problem of fuzzy predictive control of non-linear systems with imperfect communication links. Packet loss (which appears typically in a network environment) is assumed to happen intermittently between the physical plant and the controller, and stochastic variables satisfying the bernoulli random binary distribution are utilised to describe the imperfect communication phenomenon. The formulation is mathematically transformed into a stochastic Takagi-Sugeno fuzzy model. Attention is focused on the design of fuzzy predictive controllers such that the closed-loop system is stochastically stable, optimising an objective function value at every step in an infinite time horizon subject to input constraints and packet dropouts. A piecewise Lyapunov function approach is utilised, which is effective for fuzzy systems with trapezoidal membership functions;for continuous membership functions, the quadratic Lyapunov function approach is employed. A set of linear matrix inequalities is given to solve the corresponding controller optimisation problem. Two examples are provided to illustrate the usefulness and applicability of the developed theoretical results.
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