Error-constrained reliable tracking control for discrete time-varying systems subject to quantization effects

Summary ThisIn the system under investigation, the control input is subject to the saturation constraint, and both discrete and distributed time‐delays are taken into consideration. The objective of the addressed problem is to design a state feedback controller such that the resulting closed‐loop system is asymptotically stable in probability and an upper bound is guaranteed on a prespecified quadratic cost function. Sufficient conditions are established for the existence of the desired guaranteed cost control strategy in terms of the solvability of certain Hamilton–Jacobi inequalities. Simulation results demonstrate the correctness and applicability of the proposed control scheme. Copyright © 2017 John Wiley & Sons, Ltd.

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“…Noting (42) and by resorting to the Schur Complement Lemma [36], we can see that the LMIs (45)-(46) imply (19). The proof is complete.…”

Section: Proofmentioning

confidence: 99%

A note on guaranteed cost control for nonlinear stochastic systems with input saturation and mixed time‐delays

Wang

Liu

et al. 2017

Intl J Robust & Nonlinear

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“…With the network employed into the complex system to take place of the traditional point-to-point connection pattern, many network-induced phenomena have arisen [16][17][18][19][20], and then have received much attention from the experts due to their inherent disadvantages, such as input/sensor saturations, missing measurements, ROUs and network attacks and so on [21][22][23][24][25]. Input saturation is also a very common phenomenon in the actual applications and has become one of the main factors resulting in the performance degradation [26], thus will be considered in our work.…”

Section: Introductionmentioning

confidence: 99%

Robust Model Predictive Control for Linear Discrete‐Time System With Saturated Inputs and Randomly Occurring Uncertainties

Wang

Song

Zhang

et al. 2017

Asian Journal of Control

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This paper investigates the robust model predictive control (RMPC) problem for a class of linear discrete-time systems subject to saturated inputs and randomly occurring uncertainties (ROUs). Due to limited bandwidth of the network channels, the networked transmission would inevitably lead to incomplete measurements and subsequently unavoidable network-induced phenomenon that include saturated inputs as a special case. The saturated inputs are assumed to be sector-bounded in the underlying system. In addition, the ROUs are taken into account to reflect the difficulties in precise system modelling, where the norm-bounded uncertainties are governed by certain uncorrelated Bernoulli-distributed white noise sequences with known conditional probabilities. Based on the invariant set theory, a sufficient condition is derived to guarantee the robust stability in the mean-square sense of the closed-loop system. By employing the convex optimization technique, the controller gain is obtained by solving an optimization problem with some inequality constraints. Finally, a simulation example is employed to demonstrate the effectiveness of the proposed RMPC scheme.

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“…Owing to the ever-increasing popularity of communication networks, more and more control tasks are executed over communication links [7][8][9][10][11][12][13]. It should be mentioned that, in the interest of energy saving, the traditional time-based control scheme might be a conservative choice.…”

Section: Introductionmentioning

confidence: 99%

Event‐based security control for discrete‐time stochastic systems

Ding

Wang

Wei

et al. 2016

IET Control Theory & Applications

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190

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This paper is concerned with the event-based security control problem for a class of discrete-time stochastic systems with multiplicative noises subject to both randomly occurring Denial-of-Service (DoS) attacks and randomly occurring deception attacks. An event-triggered mechanism is adopted with hope to reduce the communication burden, where the measurement signal is transmitted only when a certain triggering condition is violated. A novel attack model is proposed to reflect the randomly occurring behaviors of the DoS attacks as well as the deception attacks within a unified framework via two sets of Bernoulli distributed white sequences with known conditional probabilities. A new concept of mean-square security domain is put forward to quantify the security degree. We aim to design an output feedback controller such that the closed-loop system achieves the desired security. By using the stochastic analysis techniques, some sufficient conditions are established to guarantee the desired security requirement and the control gain is obtained by solving some linear matrix inequalities with nonlinear constraints. A simulation example is utilized to illustrate the usefulness of the proposed controller design scheme.

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Error-constrained reliable tracking control for discrete time-varying systems subject to quantization effects

Cited by 64 publications

References 38 publications

A note on guaranteed cost control for nonlinear stochastic systems with input saturation and mixed time‐delays

A note on guaranteed cost control for nonlinear stochastic systems with input saturation and mixed time‐delays

Robust Model Predictive Control for Linear Discrete‐Time System With Saturated Inputs and Randomly Occurring Uncertainties

Event‐based security control for discrete‐time stochastic systems

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