Santosh Kumar Choudhary

Santosh Kumar Choudhary
Manipal Academy of Higher Education | MAHE · Department of Mathematics

Master of Technology

About

32
Publications
11,919
Reads
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157
Citations
Introduction
I am currently Assistant Professor at Manipal Institute of Technology, Manipal, Karnataka, India. I am an Applied Mathematician/Engineering researcher and actively involved in research work related to Mathematical Modelling and Control of dynamical systems. My area of research in Applied Mathematics/Control & Optimization includes Control theory, Scientific Computing, H∞ Control theory, Optimal Control and Modelling & Simulation.
Additional affiliations
July 2009 - present
Manipal Academy of Higher Education
Position
  • Professor (Assistant)
Education
August 2007 - June 2009
Manipal Academy of Higher Education
Field of study
  • Astronomy & Space Engineering
July 2001 - June 2003
Anugrah Narayan College
Field of study
  • Mathematics
July 1998 - June 2001
Anugrah Narayan College
Field of study
  • Mathematics (Hons.)

Publications

Publications (32)
Article
This article studies the optimal control solution of the Moon-Lander problem. The main purpose of this article is to investigate the optimal strategy for trajectory design to ensure the soft landing of the lander from the Lunar parking orbit to the lunar surface with minimum consumption of fuel. The trajectory design of lunar lander is studied via...
Article
Full-text available
The importance of robust feedback control for uncertain negative imaginary system lies in its practical relevance and engineering applications, for example, lightly damped flexible structures with collocated position sensors and force actuators. This article investigates an LMI based robust static state internally stabilizing feedback controller of...
Article
This article studies the linear quadratic regulator (LQR)-based optimal control law for chaotic dynamical system. First, we show a systematic and effective framework for modelling of chaotic system by considering the dynamics of bouncing ball on sinusoidally oscillating surface and explore the similarity between dynamics of the standard chaotic map...
Article
In this article, H∞ optimal feedback control of the twin rotor multiple input-multiple output (MIMO) system is investigated. The twin rotor MIMO system is a benchmark aero-dynamical laboratory model having strongly nonlinear characteristics and unstable coupling dynamics which make the control of such system for either posture stabilization or traj...
Article
Purpose The purpose of this paper is to investigate an optimal control solution with prescribed degree of stability for the position and tracking control problem of the twin rotor multiple input-multiple output (MIMO) system (TRMS). The twin rotor MIMO system is a benchmark aerodynamical laboratory model having strongly non-linear characteristics a...
Article
Full-text available
This article presents the synthesis of a dynamic output feedback controller for a satellite orbital system confronted with uncertainties. The investigated method transforms the closed-loop system, synthesized by the controller, into an $$\alpha $$ α -strictly negative-imaginary system. It utilizes the DC-loop gain condition associated with negative...
Article
Full-text available
This article presents observer-based negative imaginary positive feedback control of satellite orbit dynamical model. In this article, satellite orbital model is transformed into a strongly strict negative imaginary system using observer-based transformation scheme, and then, negative imaginary control theory is applied to achieve stability and rob...
Article
Full-text available
This article investigates mathematical modelling and control of a nonlinear negative imaginary system using an illustrative benchmark physical example of a quadrotor dynamic model. A generalized methodology based on Euler–Lagrange equation is applied to obtain nonlinear negative imaginary dynamic model for the quadrotor. In this method, the Kroneck...
Article
The robust stability for networked multi-agent dynamical systems having strict negative imaginary (SNI) uncertainty is discussed in this article. The undirected graph containing at most one self-loop is used to model communication among network agents. The feasibility of control protocol parameters is investigated further in the paper using a set o...
Chapter
The 3-degree of freedom (DOF) helicopter is a benchmark aero-dynamical laboratory model having non-linear characteristics and open-loop unstable dynamics that make the control of such system for either posture stabilization or trajectory tracking a challenging task for the control community. This article investigates a linear quadratic regulator (L...
Article
This paper investigates a robust controller solution for the position and attitude control problem of 3degree of freedom (DOF) helicopter system. The model of the elevation, roll and travel rate dynamics is considered as a single-input single-output linear system with external disturbances. The article adopts ℋ ∞ loop-shaping based robust control c...
Article
This article studies robustness in the positive feedback control of negative imaginary systems including poles at the origin using integral resonant controller. The paper first presents some self-explanatory fundamentals of negative imaginary systems and then, robustness analysis methodology for the positive feedback interconnections of negative im...
Cover Page
The 3-degree of freedom (DOF) helicopter is a benchmark aero-dynamical laboratory model having non-linear characteristics and open-loop unstable dynamics which make the control of such system for either posture stabilization or trajectory tracking a challenging task for the control community. This paper investigates a linear quadratic regulator (LQ...
Article
Full-text available
The paper investigates an analytical approach for robust stabilization of nonlinear chaotic financial system in the presence of uncertain parameters. The primary focus of this paper is to find a robust solution for quickly adjusting and controlling the interest rate, investment demand and price exponent when the chaotic phenomenon occurs in the fin...
Article
In this paper, classical loop-shaping technique-based robust proportional, integral and derivative (PID) control for ball and beam system, a particular example of double integrator with time delays is investigated. Double integrator systems are simple but important class of second-order systems as they model single degree of freedom translation and...
Article
Full-text available
The importance of control system in mechanical, electrical and electronics has been improved a lot in recent years. The main motto of research and development is to minimize the size of system equipment and produce more efficient output from it, with less expenditure. The two main concepts involved in this paper are, nonlinear control and magnetic...
Article
Full-text available
In this article, design and analysis of an optimal orbit control for a communication satellite is investigated. It is the challenging task and critical importance to control the orbit of a communication satellite especially the one used for worldwide communication. The main objective of this work is to evolve a design based on modelling and simulat...
Article
Full-text available
Fractional order system model represents the plant more adequately than integer order model. Fractional order controller is naturally the suitable choice for these fractional order models as well as it is widely used for integer order model also.The significance of fractional order control is that it is a generalization of classical control theory....
Article
Full-text available
In this paper, fractional order feedback control of a ball beam model is investigated. The ball beam model is a particular example of the double Integrator system having strongly nonlinear characteristics and unstable dynamics which make the control of such system a challenging task. Most of the work in fractional order control systems are in theor...
Article
Full-text available
In this article, LQR based PID controller design for 3DOF helicopter system is investigated. The 3-DOF helicopter system is a benchmark laboratory model having strongly nonlinear characteristics and unstable dynamics which make the control of such system a challenging task. This article first presents the mathematical model of the 3DOF helicopter s...
Article
Full-text available
The Magnetic Levitation System is one of the important benchmark laboratory models for the design and analysis of feedback control systems. Robust feedback control for magnetic levitation systems is considered problematic due to the parametric uncertainties in mass, strong disturbance forces between the magnets and noise effects inflowing from sens...
Thesis
Full-text available
In this thesis, an attempt has been made to design a robust controller for single-input single-output (SISO) linear time invariant (LTI) plant. The presentation in this report is limited to single input-single output (SISO) control system to convey the idea of robust performance while uncertainty is presented in the plant. SISO systems are consider...
Conference Paper
This paper addresses a robust controller design technique for SISO (single input single output) linear time invariant plant (LTI) with time delay uncertainty. For controller synthesis, classical loop shaping method has been adopted that shows a good trade off among the performance and stability of the closed loop system. To shows the effectiveness...
Conference Paper
The paper presents a tutorial exposition of robust control theory, emphasizing the relevance of stability problem of uncertain LTI plant.

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