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Sakthivel, Rathinasamy,Mohanapriya, Saminathan,Ahn, Choon Ki,Selvaraj, Palanisamy Institute of Electrical and Electronics Engineers 2018 IEEE transactions on industrial electronics Vol.65 No.9
<P>In this paper, the state estimation problem is studied for vehicle lateral dynamics, which are approximated by the Takagi–Sugeno (T–S) fuzzy model with probabilistic actuator faults. First, a fuzzy rule-based state estimator is constructed to estimate the exact state values of the considered system, and then a probability-dependent fault-tolerant state feedback controller is developed based on the estimated state values. Furthermore, by constructing an appropriate Lyapunov–Krasovskii functional, some novel delay-dependent sufficient conditions that ensure the mean-square asymptotic stability and strict <TEX>$(Q_d,S_d,R_d)$</TEX>-dissipativity of the closed-loop fuzzy system are derived. Specifically, the proposed dissipative-based observer design scheme is developed by means of a set of linear matrix inequalities. Finally, the proposed state estimation and fault-tolerant dissipative controller are applied to the addressed system, which demonstrates the usefulness of the developed analytical results.</P>
Sakthivel, Rathinasamy,Santra, Srimanta,Marshal Anthoni, Selvaraj,Kuppili, Venkatanareshbabu THE INSTITUTION OF ENGINEERING AND TECHNOLOGY 2017 IET GENERATION TRANSMISSION AND DISTRIBUTION Vol.11 No.4
<P>This study addresses the design of sampled-data feedback L8 controller for synchronisation of chaotic systems with external disturbances. By employing a novel time-dependent Lyapunov function which is positive definite at sampling times but not necessary between the sampling times, a new set of sufficient conditions in terms of linear matrix inequality is derived to a design sampled-data L8 control for synchronisation. More precisely, the proposed synchronisation results depend on both the lower and upper bounds on sampling interval and also the available information of the actual sampling pattern is fully used. Further, based on the Lyapunov function, an asymptotic anti-synchronisation criterion is derived by analysing the corresponding anti-synchronisation error systems. Subsequently, a set of sampled-data synchronisation control is designed in terms of solution to certain matrix inequalities that can be solved effectively by using available software. Finally, a numerical example based on boost converter DC-DC model is employed to show the effectiveness of the proposed sampled-data L8 synchronisation and anti-synchronisation control scheme.</P>
Sakthivel, Rathinasamy,Sakthivel, Ramalingam,Kaviarasan, Boomipalagan,Wang, Chao,Ma, Yong-Ki Hindawi Limited 2018 Complexity Vol.2018 No.-
<P>The problem of robust nonfragile synchronization is investigated in this paper for a class of complex dynamical networks subject to semi-Markov jumping outer coupling, time-varying coupling delay, randomly occurring gain variation, and stochastic noise over a desired finite-time interval. In particular, the network topology is assumed to follow a semi-Markov process such that it may switch from one to another at different instants. In this paper, the random gain variation is represented by a stochastic variable that is assumed to satisfy the Bernoulli distribution with white sequences. Based on these hypotheses and the Lyapunov-Krasovskii stability theory, a new finite-time stochastic synchronization criterion is established for the considered network in terms of linear matrix inequalities. Moreover, the control design parameters that guarantee the required criterion are computed by solving a set of linear matrix inequality constraints. An illustrative example is finally given to show the effectiveness and advantages of the developed analytical results.</P>
Robust Control for Fuzzy Nonlinear Uncertain Systems with Discrete and Distributed Time Delays
Sakthivel, Rathinasamy,Vadivel, Ponnusamy,Mathiyalagan, Kalidass,Park, Ju H. Verlag der Zeitschrift für Naturforschung 2014 Zeitschrift für Naturforschung. A, A journal Vol.69 No.10
<P><B>Abstract</B></P><P>This paper addresses the problem of stability and stabilization issue for a class of fuzzy nonlinear uncertain systems with discrete and distributed time delays. By utilizing a new Lyapunov-Krasovskii functional together with free weighting matrix approach, a new set of delay-dependent sufficient conditions are derived which makes the closed loop system robustly asymptotically stable. In particular, the parameter uncertainties are assumed to be norm bounded. Further, a state feedback controller is proposed to guarantee the robust stabilization for uncertain systems and subsequently the controller is constructed in terms of the solution to a set of linear matrix inequalities (LMI). The derived conditions are expressed in the form of linear matrix inequalities which can be efficiently solved via standard LMI toolbox. Further, two numerical examples are provided to demonstrate the effectiveness and less conservatism of the obtained results.</P>
Non-fragile reliable control synthesis of the sugarcane borer
Sakthivel, Rathinasamy,Saravanakumar, Thangavel,Sathishkumar, Murugesan IET 2017 IET systems biology Vol.11 No.5
<P>This study considers the problem of non-fragile reliable control synthesis for mathematical model of interaction between the sugarcane borer (Diatraea saccharalis) and its egg parasitoid Trichogramma galloi. In particular, the control could be substituted by periodic releases of a small population of natural enemies and hence it is important to propose the time-varying controller in sugarcane borer. The main aim of this study is to design a state feedback non-fragile (time-varying) reliable controller such that the states of the sugarcane borer system reach the equilibrium point within the desired period. A novel approach is proposed to deal with the uncertain matrices which appear in non-fragile reliable control. Finally, simulations based on sugarcane borer systems are conducted to illustrate the advantages and effectiveness of the proposed design technique. The result reveals that the proposed non-fragile control provides good performance in spite of periodic releases of a small population of natural enemies occurs.</P>
Controllability of nonlinear impulsive Ito type stochastic systems
De Gruyter Open Sp. z o.o. 2009 INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND C Vol.19 No.4
<B>Controllability of nonlinear impulsive Ito type stochastic systems</B><P>In this article, we consider finite dimensional dynamical control systems described by nonlinear impulsive Ito type stochastic integrodifferential equations. Necessary and sufficient conditions for complete controllability of nonlinear impulsive stochastic systems are formulated and proved under the natural assumption that the corresponding linear system is appropriately controllable. A fixed point approach is employed for achieving the required result.</P>
Venkatesan Nithya,Rathinasamy Sakthivel,Faris Alzahrani,마용기 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.11
This paper investigates the problem of robust decentralized fault-tolerant resilient control for fractionalorder large-scale interconnected uncertain system, and the problem considered here is subject to mixed H∞ and passivity performance constraint, external disturbances, controller perturbations and control input saturation. Based on the Lyapunov approach, the sufficient conditions are derived in terms of linear matrix inequalities to ensure the asymptotic stabilization of the fractional-order large-scale system with a prespecified mixed H∞ and passivity performance index. The main objective of this work is to design a robust decentralized fault-tolerant resilient controller which compensates both actuator fault and input saturation in its design for obtaining the required result. Finally, a numerical example is included to illustrate the effectiveness of the designed control law. The simulation results reveal that our proposed controller not only can effectively deal with actuator faults, but also has very good robustness for input saturation and external disturbances.
Selvaraj, Palanisamy,Sakthivel, Rathinasamy,Reza Karimi, Hamid IET 2016 IET control theory & applications Vol.10 No.15
<P>This study investigates the output tracking problem for a class of Takagi-Sugeno fuzzy systems subject to periodic signals and actuator saturation via equivalent-input-disturbance (EID) technique. In particular, to ensure the periodic signals tracking, a state-space repetitive control structure is considered. Further, the EID technique is utilised to improve the disturbance rejection performance without any prior knowledge of the disturbance and inverse dynamics of the plant. By constructing a suitable Lyapunov-Krasovskii functional and using the Wirtinger-based integral inequality, a new set of sufficient conditions is derived in terms of linear matrix inequalities (LMIs) which ensures the stability of the addressed system. In addition to that by using a Lyapunov level set, saturation-dependent Lyapunov function captures the real-time information on the severity of actuator saturation and leads to less conservative estimate of the domain of attraction, which is based on the solution of an LMI optimisation problem. Moreover, the designed fuzzy repetitive controller is reliable in the sense that the stability and the satisfactory performance of the closed-loop system are achieved not only under normal operation, but also in the presence of any actuator faults, saturation and dead zone. Finally, the proposed method is validated through two numerical examples to illustrate the effectiveness and superiority of the developed controller design.</P>
Diop, Mamadou Abdoul,Rathinasamy, Sakthivel,Ndiaye, Abdoul Aziz Springer-Verlag 2016 MEDITERRANEAN JOURNAL OF MATHEMATICS Vol.13 No.5
<P>This paper deals with the existence,uniqueness and asymptotic behaviors of mild solutions to neutral stochastic delay functional integrodifferential equations with impulsive effects, perturbed by a fractional Brownian motion B (H) , with Hurst parameter . We use the theory of resolvent operators developed in Grimmer (Trans Am Math Soc 273(1982):333-349, 2009) to show the existence of mild solutions. An example is provided to illustrate the results of this work.</P>