Author
S. C. Sinha
Bio: S. C. Sinha is an academic researcher from Auburn University. The author has contributed to research in topics: Nonlinear system & Full state feedback. The author has an hindex of 1, co-authored 1 publications receiving 70 citations.
Papers
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TL;DR: It is shown that a system exhibiting chaos can be driven to a desired periodic motion by designing a combination of feedforward controller and a time-varying controller.
Abstract: A general framework for local control of nonlinearity in nonautonomous systems using feedback strategies is considered in this work. In particular, it is shown that a system exhibiting chaos can be driven to a desired periodic motion by designing a combination of feedforward controller and a time-varying controller. The design of the time-varying controller is achieved through an application of Lyapunov–Floquet transformation which guarantees the local stability of the desired periodic orbit. If it is desired that the chaotic motion be driven to a fixed point, then the time-varying controller can be replaced by a constant gain controller which can be designed using classical techniques, viz. pole placement, etc. A sinusoidally driven Duffing's oscillator and the well-known Rossler system are chosen as illustrative examples to demonstrate the application.
72 citations
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TL;DR: In this article, a linear feedback control for nonlinear systems has been formulated under an optimal control theory viewpoint, where the stability of the closed-loop nonlinear system is guaranteed by means of a Lyapunov function which can clearly be seen as the solution of the Hamilton-Jacobi-Bellman equation.
253 citations
TL;DR: Using the T–S model of discrete-time chaotic systems, an adaptive control algorithm is developed based on some conventional adaptive control techniques and is shown to be globally stable, and its robustness is discussed.
Abstract: This paper discusses adaptive control of a class of discrete-time chaotic systems from a fuzzy control approach. Using the T–S model of discrete-time chaotic systems, an adaptive control algorithm is developed based on some conventional adaptive control techniques. The resulting adaptively controlled chaotic system is shown to be globally stable, and its robustness is discussed. A simulation example of the chaotic Henon map control is finally presented, to illustrate an application and the performance of the proposed control algorithm.
131 citations
TL;DR: In this article, an optimal control strategy that directs the chaotic motion of the Rossler system to any desired fixed point is proposed, and the chaos control problem is then formulated as an infinite horizon optimal control nonlinear problem that was reduced to a solution of the associated Hamilton-Jacobi-Bellman equation.
87 citations
TL;DR: In this paper, the mathematical model of an electroni cationic micro-electromechanical system (MEMS) is presented and the model is extended to the case of a single electron.
Abstract: Micro-electromechanical systems (MEMS) are micro scale devices that are able to convert electrical energy into mechanical energy or vice versa. In this paper, the mathematical model of an electroni...
47 citations
TL;DR: In this article, the authors analyzed the non-linear dynamics of a particular micro-electro-mechanical system and used a technique of the optimal linear control for reducing the irregular (chaotic) oscillatory movement of the nonlinear systems to a periodic orbit.
40 citations