editorial switched dynamics with its...

EditorialSwitched Dynamics with Its Applications

Chang-Hua Lien,1 Lixian Zhang,2 Sundarapandian Vaidyanathan,3

and Hamid Reza Karimi4

1 Department of Marine Engineering, National Kaohsiung Marine University, Kaohsiung 811, Taiwan2 Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, P.O. Box 3015, Yikuang Street No. 2,Nangang District, Harbin 150080, China

3 Research and Development Centre, Vel Tech University, No. 42 Avadi-Vel Tech Road, Avadi, Chennai, Tamil Nadu 600062, India4Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway

Correspondence should be addressed to Chang-Hua Lien; [email protected]

Received 25 November 2013; Accepted 25 November 2013; Published 10 February 2014

Copyright © 2014 Chang-Hua Lien et al. This is an open access article distributed under the Creative Commons AttributionLicense, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properlycited.

In recent years, switched dynamics has attracted a rapidlygrowing attention in the fields of networked control systems,sliding mode control systems, switched systems, and T-S fuzzy systems. This special issue has a strong impacton many real-world systems, like automated highway sys-tems, automotive engine control system, chemical process,constrained robotics, network systems, power systems andpower electronics, robot manufacture, stepper motors, andeven water quality control. Systems with switching mayproduce many complicated nonlinear system behaviors, suchas multiple limit cycles and chaos. Nowadays, the analysisof switched dynamics of nonlinear systems still possessesmany new challenges to researchers.When studying switcheddynamics of practical systems, it is very crucial to be ableto completely characterize the dynamical properties of thenonlinear systems with switching. This special issue aims atgathering research works focusing on the developments anddiscoveries of switched dynamics with its applications.

This special issue contains twenty papers, the contents ofwhich are summarized as follows.

“Sliding mode control with state derivative output feedbackin reciprocal state space form” by Y.-W. Tseng and Y.-N. Wangconsiders the design of novel sliding mode control by statederivative output feedback in nontraditional reciprocal statespace (RSS) form. Novel switching function and approachingcondition based on the derivative of sliding surface are intro-duced. A sufficient condition is developed to find the upper

bound of system uncertainty and guarantee the stability forsliding surface in robustness analysis.

“A prediction-correction dynamic method for large-scalegeneralized eigenvalue problems” by X.-L. Luo et al. presentsa new prediction-correction method of differential-algebraicequations for the smallest generalized eigenvalue prob-lem. The smallest generalized eigenvalue problem is con-verted into an equivalent constrained optimization prob-lem. According to the Karush-Kuhn-Tucker conditions ofthis special equality-constrained problem, a special contin-uous dynamical system of differential-algebraic equations isobtained. A prediction-correction method is constructed tofollow the differential-algebraic equations.

“Extension sliding mode controller for maximum powerpoint tracking of hydrogen fuel cells” by M.-H. Wang et al.proposes a maximum power point tracking (MPPT) controlscheme based on extension theory to stabilize the output ofa fuel cell at the point of maximum power. The simulationresults confirm the ability of the controller to stabilizethe output power at the maximum power point despitesudden changes in the temperature, hydrogen pressure, andmembrane water content. The transient response time of theproposed controller is shown to be faster than that of existingsliding mode and extremum seeking controllers.

“Controller design of multi-input multioutput time-delaylarge-scale system” by C.-W. Lin et al. provides a novelfeedback linearization controller of nonlinear multi-input

Hindawi Publishing CorporationAbstract and Applied AnalysisVolume 2014, Article ID 528532, 3 pageshttp://dx.doi.org/10.1155/2014/528532

2 Abstract and Applied Analysis

multi-utput time-delay large-scale systems to obtain boththe tracking and almost disturbance decoupling (ADD)performances. The significant contribution is to build up acontrol law such that the overall closed-loop system is stablefor given initial condition and bounded tracking trajectory.

“Optimal control for a family of systems in novel statederivative space form with experiment in a double invertedpendulum system” by Y.-W. Tseng and J.-G. Hsieh proposesan optimal control for a family of systems in novel statederivative space (SDS) form. This optimal state derivativefeedback may be implemented by the equivalent state feed-back.The LQRdesign for a double inverted pendulum systemis implemented to illustrate the use of the proposed method.

“Applications of fuzzy sliding mode control for a gyroscopesystem” by S.-C. Chen et al. presents the application of thefuzzy sliding mode for a gyroscope system status control.The state response analysis of the gyroscope system revealedhighly nonlinear and chaotic subharmonic motions of 2Tduring state formation.The current study discussed the use oftracking control in the slidingmode control and fuzzy slidingmode control of a gyroscope control system. The gyroscopesystem drives from chaotic motion to periodic motion.

“A dynamic cooperative scheme with multiple antennasfor indoor mobile robot localization” by C.-L. Chang and B.-H. Wu develops a spatial cooperative diversity and decision-making technique to enhance signal detection and indoormobile robot positioning performance of a global positioningsatellite system receiver. A signal processing experimentalplatform is also established to receive actually indoor GNSSsignals for verification. The proposed scheme is capableof effectively promoting the postcorrelation signal-to-noiseratio (SNR) capability of a GNSS receiver under the indoorenvironment.

“Multiple input delays estimation using an artificial beecolony algorithm” by W.-D. Chang considers the time delayestimation of discrete-time state equation with multipleinput delays. A new artificial bee colony (ABC) algorithm isutilized to estimate the input delays. Based on the proposedalgorithm, the unknown system input delays can be solved byminimizing the quadratic cost function of the system.

“Research onRBV control strategy of large anglemaneuver”by J. Xu et al. presents a nonlinear flight control design basedon neural network robust adaptive dynamic inversion for aclass of reusable launch vehicles (RBV). The nonlinear char-acteristics of aerodynamic coefficients varying with machnumbers, attack angle, and sideslip angle are used such thatthe complete nonlinear 6-DOF model of RBV is established.The nonlinear dynamic inversion control strategy is thendeveloped to achieve the pseudolinear decoupling of RBV.The external disturbance and network approximating errorare suppressed by the used robust adaptive control. Lyapunovstability theories show that all error signals of closed-loopsystem are uniformly bounded finally under the controlstrategy.

“Robust coordinated formation for multiple surface vesselsbased on backstepping sliding mode control” by M. Fu et al.investigates the problem of coordinated formation control formultiple surface vessels in the presence of unknown externaldisturbances. To achieve the robustness against unknown

external disturbances, a new robust leaderless coordinatedformation control algorithm based on backstepping slidingmode control is proposed. Furthermore, the adaptive controllaw proposed to estimate unknown disturbances is alsoextended to obtain the robust coordinated formation controlalgorithm.

“Data acquisition and transmission system for buildingenergy consumption monitoring” by L. Zhao et al. presentsa low-cost and small-sized collector design based on theSTM32 microcontroller, which can be placed in buildingeasily to implement the work of data acquisition, store,and transmission. The collector gathers the electricity, water,heat, and so forth, energy consumption data through theRS485 field bus, stores the data into SD card with massstorage, and finally, uses internet to finish communicationand transmission to data server though TCP protocol.

“Observer-based robust𝐻∞control for switched stochastic

systems with time-varying delay” by G. Chen et al. investigatesthe problem of observer-based robust 𝐻

∞control for a

class of switched stochastic systems with time-varying delay.Based on the average dwell time method, an exponentialstability criterion for switched stochastic delay systems isproposed. Then, 𝐻

∞performance analysis and observer-

based robust𝐻∞controller design for the underlying systems

are developed.“Neural network based finite-time stabilization for discrete-

time Markov jump nonlinear systems with time delays” byF. Chen et al. deals with the finite-time stabilization prob-lem for discrete-time Markov jump nonlinear systems withtime delays and norm-bounded exogenous disturbance. Thenonlinearities in different jump modes are parameterized byneural networks. Subsequently, a linear difference inclusionstate space representation for a class of neural networks isestablished. Based on this, sufficient conditions are derivedin terms of linear matrix inequalities to guarantee stochasticfinite-time stability and stochastic finite-time stabilization ofthe closed-loop system.

“Improved switching strategy for selective harmonicelimination in DC-AC signal generation via pulse-width-modulation” by F. Palacios-Quinonero et al. develops anadvanced design methodology for pulse-width-modulated(PWM) DC-AC signal generation. Using design methodsbased on the Walsh transform, AC sinusoidal signals canbe approximated by suitable PWM signals. In defining theconstitutive pulses of a PWM signal, a suitable partition ofthe time interval is used as a reference system. In the newmethodology, pulses are chosen to be symmetric with respectto the partition points, and the switching times are specifiedby means of switching ratios with respect to the endpointsubintervals. This approach leads to particularly simpleWalsh series representations with remarkable computationalsimplification and achieves excellent results in reducing theharmonic distortion. For complex problems involving PWMsignals with a large number of pulses, an efficient line ofsolution is provided by the new approach.

“Asymptotic hyperstability of a class of linear systems underimpulsive controls subject to an integral popovian constraint”by M. De la Sen et al. investigates the important property ofthe asymptotic hyperstability of a class of continuous-time

Abstract and Applied Analysis 3

dynamic systems. The presence of a parallel connection of astrictly stable subsystem to an asymptotically hyperstable onein the feed-forward loop is allowed while it has also admittedthe generation of a finite or infinite number of impulsivecontrol actionswhich can be combinedwith a general formofnonimpulsive controls. The asymptotic hyperstability prop-erty is guaranteed under a set of sufficiency-type conditionsfor the impulsive controls.

“Delay-distribution-dependent consensus for second-orderleader-follower nonlinear multiagent systems via pinning con-trol” by H. Li et al. studies the consensus problem for second-order leader-follower nonlinear multiagent systems withgeneral network topologies. A pinning control algorithm isproposed, where it includes time-varying delay information.By using the information of delay-partition and delay-distribution and constructing an appropriate Lyapunov-Krasovskii functional, the consensus criteria are derived toachieve leader-follower consensus for multiagent systems,which are in the form of linear inequalities that can be solvedby employing the semidefinite programme method.

“On existence of stabilizing switching laws within a classof unstable linear systems” by S. S.-D. Xu and C.-C. Chenproposes a novel method to prove the equivalence of twoconditions regarding the existence of stabilizing switchinglaws between two unstable linear systems. One is effectivefor theoretical derivation, while the other is implementable,and a class of stabilizing switching laws has been explicitlyconstructed. With the help of the equivalent relation, acondition for the existence of controllers and stabilizingswitching laws between two unstabilizable linear controlsystems is then proposed.

“Switched convergence of second-order switched homoge-neous systems” by C. Perez and F. Benıtez deals with the sta-bilization of second-order switched homogeneous systems.The authors establish necessary and sufficient conditionsunder which the stabilization is assured for a switched homo-geneous system. Moreover, given an initial condition, it isshown that the method determines if there exists a switchinglaw under which the solution converges to the origin and, ifthere exists this switching law, how it is constructed.

“Filippov ratio-dependent prey-predator model withthreshold policy control” by X. Zhang and S. Tang investigatesthe sliding mode domain, sliding mode dynamics, and theexistence of four types of equilibria and tangent points.Further, the stability of pseudoequilibrium is addressed byusing theoretical and numerical methods, and also the localsliding bifurcations including regular/virtual equilibriumbifurcations and boundary node bifurcations are studied.Finally, some global sliding bifurcations are addressednumerically.

“Positioning errors predictingmethod of strapdown inertialnavigation systems based onPSO-SVM” byX.Yin et al. is stud-ied in order to evaluate the navigation errors precisely andefficiently. Firstly, the strapdown inertial navigation systems(SINS) error models that are used for error calculation areestablished considering several error resources with respectto inertial units. Secondly, flight paths for simulation aredesigned. Thirdly, the 𝜀-SVR based prediction method isproposed to predict the positioning errors of navigation

systems, and particle swarm optimization (PSO) is used forthe support vector machine (SVM) parameters optimization.This method is also demonstrated to be effective for errorprediction for an entire flight process.

Of course, the selected topics and papers do not providean exhaustive study of all areas of this special issue. Nonethe-less, they represent the rich andmany-faceted knowledge thatwe have the pleasure of sharing with the readers.

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.

Chang-Hua LienLixian Zhang

Sundarapandian VaidyanathanHamid Reza Karimi

Submit your manuscripts athttp://www.hindawi.com

Hindawi Publishing Corporationhttp://www.hindawi.com Volume 2014

MathematicsJournal of


Mathematical Problems in Engineering

Hindawi Publishing Corporationhttp://www.hindawi.com

Differential EquationsInternational Journal of

Volume 2014

Applied MathematicsJournal of


Probability and StatisticsHindawi Publishing Corporationhttp://www.hindawi.com Volume 2014

Journal of


Mathematical PhysicsAdvances in

Complex AnalysisJournal of


OptimizationJournal of


CombinatoricsHindawi Publishing Corporationhttp://www.hindawi.com Volume 2014

International Journal of


Operations ResearchAdvances in

Journal of


Function Spaces

Abstract and Applied AnalysisHindawi Publishing Corporationhttp://www.hindawi.com Volume 2014

International Journal of Mathematics and Mathematical Sciences


The Scientific World JournalHindawi Publishing Corporation http://www.hindawi.com Volume 2014


Algebra

Discrete Dynamics in Nature and Society



Decision SciencesAdvances in

Discrete MathematicsJournal of

Hindawi Publishing Corporationhttp://www.hindawi.com

Volume 2014 Hindawi Publishing Corporationhttp://www.hindawi.com Volume 2014

Stochastic AnalysisInternational Journal of

editorial switched dynamics with its...

Documents