activity
20162023
most citedStability of the integral control of stable nonlinear systems

9 citations · 22 across the 10 of their papers we have counts for

collaborators

11 papers

eess.SY2023★ 1 cited

Model reference adaptive control for state and input constrained linear systems

Sudipta Chattopadhyay, Srikant Sukumar, Vivek Natarajan

State and input constraints are ubiquitous in all engineering systems. In this article, we derive adaptive controllers for uncertain linear systems under pre-specified state and in…

eess.SY2023

Adaptive identification of SISO linear infinite-dimensional systems

Sudipta Chattopadhyay, Srikant Sukumar, Vivek Natarajan

We propose an adaptive algorithm for identifying the unknown parameter in a linear exponentially stable single-input single-output infinite-dimensional system. We assume that the t…

eess.SY2023

Motion planning for parabolic equations using flatness and finite-difference approximations

Soham Chatterjee, Vivek Natarajan

We consider the problem of finding an input signal which transfers a linear boundary controlled 1D parabolic partial differential equation with spatially-varying coefficients from…

eess.SY2021

Transient and Asymptotic Properties of Robust Adaptive Controllers in the Presence of Non-Coercive Lyapunov Functions

Aditya A. Paranjape, Vivek Natarajan, Supratim Ghosh

Adaptive control architectures often make use of Lyapunov functions to design adaptive laws. We are specifically interested in adaptive control methods, such as the well-known L1 a…

eess.SY2020

Compensating PDE actuator and sensor dynamics using Sylvester equation

Vivek Natarajan

We consider the problem of stabilizing PDE-ODE cascade systems in which the input is applied to the PDE system whose output drives the ODE system. We also consider the dual problem…

eess.SY2020

Modelling, Controllability and Gait Design for a Spherical Flexible Swimmer

Sudin Kadam, Ravi N. Banavar, Vivek Natarajan

This paper discusses modelling, controllability and gait design for a spherical flexible swimmer. We first present a kinematic model of a low Reynolds number spherical flexible swi…

math.OC2019★ 6 cited

Minimal order controllers for output regulation of nonlinear systems

Vivek Natarajan, George Weiss

This paper is about the nonlinear local error feedback regulator problem. The plant is a nonlinear finite-dimensional system with a single control input and a single output and it…

math.AP2018★ 1 cited

The global bifurcation picture for ground states in nonlinear Schrodinger equations

Eduard Kirr, Vivek Natarajan

In this paper, we propose a method of finding all coherent structures supported by a given nonlinear wave equation. It relies on enhancing the recent global bifurcation theory as d…

math.OC2016★ 4 cited

Almost global asymptotic stability of a grid-connected synchronous generator

Vivek Natarajan, George Weiss

We study the global asymptotic behavior of a grid-connected constant field current synchronous generator (SG). The grid is regarded as an "infinite bus", i.e. a three-phase AC volt…

math.OC2016★ 9 cited

Stability of the integral control of stable nonlinear systems

George Weiss, Vivek Natarajan

PI controllers are the most widespread type of controllers and there is an intuitive understanding that if their gains are sufficiently small and of the correct sign, then they alw…

eess.SY2016★ 1 cited

Control System Design for Tricopter using Filters and PID controller

Vishal P Venkata, Natarajan V

The purpose of this paper is to present the control system design of Tricopter. We have presented the implementation of control system in software in this paper. Tricopter's contro…