Applied Mathematics, Mathematics, Statistics, Probability and Uncertainty, Management Science and Operations Research
3
Scopus Publications
Scopus Publications
Optimal control for a vibrating string with variable axial load and damping gain Ramdas B. Sonawane, Anil Kumar, S.B. Nimse IFAC Proceedings Volumes IFAC Papersonline, 2014 We consider an optimal control problem for a vibrating string with multiplicative distributive control. Multiplicative control is the coefficient u ( x, t ) of velocity term y t . Using multiplicative control, we bring the state solution to the desired profile under a quadratic cost of control.We prove the existence of optimal control. Criterion for characterization of the unique optimal control is provided in the form of optimality system.
Exact controllability of wave equation with multiplicative controls Applied Mathematics E Notes, 2014
Numerical optimal control for bilinear hyperbolic PDEs Ramdas B. Sonawane, Anil Kumar, S. B. Nimse 2013 Nirma University International Conference on Engineering Nuicone 2013, 2013 In this paper, we present a successive approximation scheme to solve finite-time optimal control problem for hyperbolic partial differential equations (PDEs) with additive, multiplicative and boundary controls. We propose an iterative scheme for control design. Finite difference scheme is applied to solve the hyperbolic equation. Control problem is solved using conjugate gradient method. A numerical simulation study shows the effectiveness of this approach.