Shantanu Singh

Technical University of Crete | TUC · Department of Electronic and Computer Engineering

We investigate the local (in time) description of incrementally scattering passive nonlinear systems. We show that these systems can be defined by a differential inclusion and a function that gives the current output in term of the current state and the current input. Our approach uses the theory of maximal monotone operators and Lax–Phillips-type...

In this paper, we show that the passivity property of a linear infinite dimensional system, with respect to a given supply rate, is preserved in the presence of a saturating integrator, which restricts a one dimensional component of the state to a compact interval. The resulting nonlinear system is incrementally passive with the same supply rate. W...

We investigate a special class of nonlinear infinite dimensional systems. These systems are obtained by modifying the second order differential equation that is part of the description of conservative linear systems "out of thin air" introduced by M. Tucsnak and G. Weiss in 2003. The modified differential equation contains a new nonlinear damping t...

In this article we show the existence and uniqueness of classical and generalized solutions of a class of nonlinear infinite dimensional systems. Such systems are obtained by modifying the second order differential equation that is part of the description of conservative linear systems ``out of thin air" introduced by M. Tucsnak and G. Weiss in 200...

We investigate a special class of nonlinear infinite dimensional systems. These are obtained by subtracting a nonlinear maximal monotone (possibly multi-valued) operator M from the semigroup generator of a scattering passive linear system. While the linear system may have unbounded linear damping (for instance, boundary damping) which is only dense...

We investigate abstract nonlinear infinite dimensional systems of the form: ẋ(t) ∈ Ax(t) − M (x(t)) + Bu(t). These are obtained by subtracting a nonlinear maximal monotone (possibly multi-valued) operator M from the semigroup generator A of a linear system. While the linear system may have unbounded linear damping (for instance, boundary damping),...

We start from a special class of scattering passive linear infinite-dimensional systems introduced in Staffans and Weiss (SIAM J. Control and Opt., 2012). This class is called the Maxwell class of systems, because it includes the scattering formulation of Maxwell’s equations, as well as various wave and beam equations. We generalize this class by a...

Twin rotor multi-input and multi-output system(TRMS) is used as the nonlinear multi-input multi-output(MIMO) system and a robust control approach based on fast terminal sliding surface is proposed in the paper. The nonlinear TRMS system is reduced to a simpler model and the error is handled by fast terminal sliding mode control. The results are pro...