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EID estimator-based modified repetitive control for singular systems with time-varying delay
Sakthivel, R.,Mohanapriya, S.,Selvaraj, P.,Karimi, H. R.,Marshal Anthoni, S. Springer Science + Business Media 2017 Nonlinear dynamics Vol.89 No.2
<P>This paper investigates the disturbance rejection for a modified repetitive control system (MRCS) that is described by a class of linear singular systems in the presence of external disturbances and time-varying delay. In particular, an equivalent-input-disturbance (EID)-based estimator is included in the MRCS to compensate both periodic and aperiodic disturbances which yields an EID-based MRCS. More precisely, the incorporation of the EID-based estimator into the control input enables rejection of all types of disturbances in MRCS and tracking of a periodic reference input is archived via a repetitive controller. Attention is focused on the state-feedback repetitive controller design which not only guarantees the regular, impulse free, and asymptotic stability of the closed-loop singular MRCS, but also provides an optimized upper bound of the time-varying delay. Based on Lyapunov stability theory and utilizing some advanced mathematical techniques, a new set of delay-dependent sufficient conditions is presented in terms of linear matrix inequalities for obtaining the required result. Then, an explicit expression for the desired state-feedback repetitive control law is developed. Further, the obtained results are validated through two numerical examples in the simulation section.</P>
Sakthivel, R.,Joby, Maya,Marshal Anthoni, S. Elsevier science 2017 Information sciences Vol.418 No.-
<P>This paper addresses the dissipativity based resilient sampled-data control problem for a class of stochastic systems with actuator failures. In particular, the controller is assumed to posses probabilistic actuator faults with different failure rates. Moreover, the controller gain fluctuation appears in a random way which obeys certain Bernoulli distributed white noise sequences. A new set of sufficient conditions is obtained in terms of linear matrix inequalities for the derivation of resilient dissipative sampled-data controller by constructing an appropriate Lyapunov-Krasovskii functional together with free-weighting matrix technique. Simulation studies are performed to verify the performance and effectiveness of the proposed control design technique. (C) 2017 Elsevier Inc. All rights reserved.</P>
Asymptotic stability of delayed stochastic genetic regulatory networks with impulses
Sakthivel, R,Raja, R,Marshal Anthoni, S Royal Swedish Academy of Sciences 2010 Physica scripta Vol.82 No.5
<P>In this paper, the asymptotic stability analysis problem is considered for a class of delayed stochastic genetic regulatory networks with impulses. Based on the Lyapunov stability technique and stochastic analysis theory, stability criteria are proposed in terms of linear matrix inequalities (LMI). It is shown that the addressed stochastic genetic regulatory networks are globally asymptotically stable if four LMIs are feasible, where the feasibility of LMIs can be readily checked by Matlab LMI toolbox. Finally, a numerical example is given to demonstrate the usefulness of the proposed result.</P>
Dissipative Based Adaptive Reliable Sampled-data Control of Time-varying Delay Systems
Santra, Srimanta,Karimi, Hamid Reza,Sakthivel, Rathinasamy,Anthoni, S. Marshal Institute of Control, Robotics and Systems 2016 International Journal of Control, Automation, and Vol.14 No.1
This paper is concerned with the problem of dissipative based adaptive reliable controller for a class of time delay systems subject to actuator failures and time-varying sampling with a known upper bound on the sampling intervals. By constructing a proper Lyapunov-Krasovskii functional which fully uses the available information about the actual sampling pattern and time delays, a new set of sufficient conditions is derived to obtain the required result. Then, a dissipative based adaptive sampled-data controller is designed such that the resulting closed-loop system is reliable in the sense that it is asymptotically stable and has the prescribed dissipative performance under given constraints. The existence condition of the desired dissipative based adaptive reliable sampled-data controller is obtained in terms of linear matrix inequalities. Further, the performance of the proposed controller is implemented on a liquid propellant rocket motor with a pressure feeding system model. The simulation results show the effectiveness and better performance of the proposed adaptive reliable sampled-data controller over conventional reliable controller.
CONTROLLABILITY OF SECOND ORDER SEMILINEAR VOLTERRA INTEGRODIFFERENTIAL SYSTEMS IN BANACH SPACES
Balachandran, K.,Park, J.Y.,Anthoni, S.-Marshal Korean Mathematical Society 1999 대한수학회보 Vol.36 No.1
Sufficient conditions for controllability of semilinear second order Volterra integrodifferential systems in Banach spaces are established using the theory of strongly continuous cosine families. The results are obtained by using the Schauder fixed point theorem. An example is provided to illustrate the theory.
Sakthivel, R.,Saravanakumar, T.,Ma, Y.K.,Marshal Anthoni, S. North-Holland 2017 Fuzzy sets and systems Vol.329 No.-
<P>This paper deals with the problem of finite-time passivity-based H-infinity resilient reliable state feedback sampled-data control for Takagi-Sugeno fuzzy systems with randomly occurring uncertainties and gain variations, where the randomly occurring characteristics are designed by stochastic variables satisfying the Bernoulli distribution. The main objective of this paper is to design a resilient reliable sampled-data controller such that the resulting closed-loop system is finite-time bounded and satisfies finite-time mixed H-infinity and passive performance index gamma. Based on the constructed Lyapunov-Krasovskii functional and Wirtinger integral inequality, some delay-dependent sufficient conditions are derived for achieving the required result of the considered systems. Moreover the derived finite-time stability conditions are established in the form of linear matrix inequalities (LMIs) which can be solved by Matlab LMI toolbox. Finally two numerical examples are presented to demonstrate the applicability of the proposed control design technique. (C) 2017 Elsevier B.V. All rights reserved.</P>