published version - university of adelaide...forward nonlinear time-delay systems by l. liu et al....

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Ming Liu, Peng Shi, Hamid Reza Karimi, Shen Yin, and Xiaojie Su Advanced stochastic control systems with engineering applications Abstract and Applied Analysis, 2014; 2014:320412-1-320412-2

Copyright © 2014 Ming Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Originally published at: http://doi.org/10.1155/2014/320412

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http://hdl.handle.net/2440/95322

http://doi.org/10.1155/2014/320412

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EditorialAdvanced Stochastic Control Systems withEngineering Applications

Ming Liu,1 Peng Shi,2 Hamid Reza Karimi,3 Shen Yin,4 and Xiaojie Su5

1 School of Astronautics, Harbin Institute of Technology, Harbin, Heilongjiang, China2 School of Electrical and Electronic Engineering, The University of Adelaide, SA 5005, Australia3 Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway4 Institute of Automation and Complex Systems, University of Duisburg-Essen, Duisburg, Germany5 College of Automation, Chongqing University, Chongqing 400044, China

Correspondence should be addressed to Ming Liu; [email protected]

Received 26 May 2014; Accepted 26 May 2014; Published 12 June 2014

Copyright © 2014 Ming Liu et al.This is an open access article distributed under the Creative CommonsAttribution License, whichpermits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Stochastic phenomenon has played an important role invarious branches of science such as biology, economics, andaircraft. Stochastic modeling approach has achieved a greatnumber of distinguished contributions for awide spectrumofsystems includingMarkovian jumping systems, Ito stochasticsystems, networked control systems with random communi-cation delays, and/or packet losses. Over the past few decades,considerable attention has been paid to modeling, stabilityanalysis, stabilization, robust filtering, model reduction, andpractical applications of stochastic dynamical systems. Inspite of the extensive and systemic development of stochasticapproaches and techniques, there still remain various typesof open problems desired to be further strengthened, whichincludesmodeling, filtering, nonparametricmethods, systemrealization and identification, and so forth. Meanwhile, noveland updated developed theories and results are required to beinvestigated for application of stochastic systems in practicalengineering.

This special issue contains thirty-four papers, which aresummarized as follows.

“Event-based 𝐻∞

filter design for sensor networks withmissing measurements” by J. Liu et al. proposes an eventtriggered mechanism based on sampled-data information,which has some advantages over existing ones. Consideringthe missing sensor measurements and the network-induceddelay in the transmission, a new event-based 𝐻

∞filtering is

constructed by taking the effect of sensor faults with different

failure rates. By using the Lyapunov stability theory and thestochastic analysis theory, sufficient criteria are derived forthe existence of a solution to the algorithm of the event-basedfilter design.

“Finite-horizon robust Kalman filter for uncertain attitudeestimation system with star sensor measurement delays” byH.-M. Qian et al. addresses the robust Kalman filteringproblem for uncertain attitude estimation system with starsensor measurement delays. Combined with the misalign-ment errors and scale factor errors of gyros in the processmodel and the misalignment errors of star sensors in themeasurementmodel, the uncertain attitude estimationmodelcan be established to indicate that uncertainties not onlyappear in the state and output matrices but also affect thestatistic of the process noise. Meanwhile, the phenomenon ofstar sensor measurement delays is described by introducingBernoulli random variables with different delay character-istics. A finite-horizon robust Kalman filter is proposedto solve this estimation problem which takes into accountthe effects of star sensor measurement delays and modeluncertainties.

“Robust adaptive fault-tolerant control of stochastic systemswith modeling uncertainties and actuator failures” by W. Caiet al. deals with the problem of actuator fault-tolerant controlof a class of uncertain stochastic systems with model uncer-tainties. A robust adaptive control scheme is developed tosolve this problem. The proposed approach does not require

Hindawi Publishing CorporationAbstract and Applied AnalysisVolume 2014, Article ID 320412, 2 pageshttp://dx.doi.org/10.1155/2014/320412

2 Abstract and Applied Analysis

the fault detection and diagnosis roles and thus simplifies thedesign procedure and achieve a low cost.

“Prescribed performance fuzzy adaptive output-feedbackcontrol for nonlinear stochastic systems” by L. Zhang et al.proposes a prescribed performance for a class of single-input and single-output nonlinear stochastic systems withunmeasured states, and a fuzzy state observer is designedfor estimating the unmeasured states. Based on the back-stepping recursive design technique and the predefined per-formance technique, a new fuzzy adaptive output feedbackcontrol method is developed. It is shown that all the sig-nals of the resulting closed-loop system are bounded inprobability and the tracking error remains an adjustableneighborhood of the origin with the prescribed performancebounds.

“Consensus of multiagent systems with packet losses andcommunication delays using a novel control protocol” by Z. Yanet al. addresses the consensus problem of multiagent systemwith packet losses and communication delays under directedcommunication channels from a practical point of view. Anovel control protocol is proposed depending only on peri-odic sampling and transmitting data in order to be convenientfor practical implementation and economical for limitedsystem resources. It is proved that for single integrator agentsand double integrator systems with only communicationdelays consensusability can be ensured through stochasticmatrix theory provided that the designed communicationtopology contains a directed spanning tree. For double inte-grator agents and high-order integrator agents, the intervalsystem theory is introduced to investigate the consensus ofmultiagent system.

“State-feedback stabilization for a class of stochastic feed-forward nonlinear time-delay systems” by L. Liu et al. inves-tigates the state-feedback stabilization problem for a classof stochastic feedforward nonlinear time-delay systems. Byusing the homogeneous domination approach and choosingan appropriate Lyapunov-Krasovskii functional, the delay-independent state-feedback controller is explicitly construct-ed such that the closed-loop system is globally asymptoticallystable in probability.

“Robust guaranteed cost observer design for singularMark-ovian jump time-delay systems with generally incomplete tran-sition probability” by Y. Li et al. investigates the design ofrobust guaranteed cost observer for a class of linear singularMarkovian jump time-delay systems with generally incom-plete transition probability. In this design, each transitionrate can be completely unknown or only its estimate valueis known. Based on stability theory of stochastic differen-tial equations and linear matrix inequality technique, anobserver is designed to ensure that for all uncertainties theresulting augmented system is regular, impulse free, androbust stochastically stablewith the proposed guaranteed costperformance.

Of course, the selected issues and papers are not acomprehensive representation of the area of this specialissue. Nonetheless, they represent the rich and many-facetedknowledge that we have the pleasure of sharing with thereaders.

Acknowledgments

Wewould like to express appreciation to the authors for theirexcellent contributions and patience in assisting us. The hardwork of all reviewers on these papers is also very greatlyacknowledged.

Ming LiuPeng Shi

Hamid Reza KarimiShen YinXiaojie Su

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