Saroj Biswas - Academia.edu (original) (raw)
Papers by Saroj Biswas
2007 Annual Conference & Exposition Proceedings, Sep 3, 2020
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2022
Quantitative Biology, 2021
BackgroundThe COVID‐19 pandemic has become a formidable threat to global health and economy. The ... more BackgroundThe COVID‐19 pandemic has become a formidable threat to global health and economy. The coronavirus SARS‐CoV‐2 that causes COVID‐19 is known to spread by human‐to‐human transmission, and in about 40% cases, the exposed individuals are asymptomatic which makes it difficult to contain the virus.MethodsThis paper presents a modified SEIR epidemiological model and uses concepts of optimal control theory for analysis of the effects of intervention methods of the COVID19. Fundamentally the pandemic intervention problem can be viewed as a mathematical optimization problem as there are contradictory outcomes in terms of reduced infection and fatalities but with serious economic downturns.ResultsConcepts of optimal control theory have been used to determine the optimal control (intervention) levels of i) social contact mitigation and suppression, and ii) pharmaceutical intervention modalities, with minimum impacts on the economy. Numerical results show that with optimal intervention...
In many power networks, power supplies are usually set to be in a redundant configuration. The to... more In many power networks, power supplies are usually set to be in a redundant configuration. The total power demands in the networks may be far less than that of the capacity of the power supplies. After the power demands fulfilled an energy saving power generation dispatch becomes possible, and it plays an important role in saving the excess power in the networks. In this paper, we studied the energy saving problem in distributed power systems with tree configurations. We formulated the problem as a cooperative game among bus agents in a decentralized way. The Nash Bargaining Solution (NBS) provides a Pareto optimal and our energy saving algorithm is fair to all participated agents. Finally, we applied the algorithm to different scaled bus-oriented microgrids and the simulation results showed that the feasibility and performance are promising.
This paper presents a novel macroscopic model describing temporal evolution of hysteretic magneti... more This paper presents a novel macroscopic model describing temporal evolution of hysteretic magnetization. The physical phenomena of domain rotation and hysteresis are described by a first order nonlinear differential equation and a decreasing gain function. By varying the model parameters, the proposed model can be used to represent hysteresis curves for a variety of magnetic materials. Particle swarm optimization has been used for model validation based on experimental hysteresis data. A tracking control system using feedback linearization method is derived to assure zero steady state error between the flux density with respect to the desired value. The proposed nonlinear control method is evaluated by simulation results for a desired constant set point and a sinusoidal function.
The output feedback eigenstructure assignment problem is examined, and a new approach to computin... more The output feedback eigenstructure assignment problem is examined, and a new approach to computing the output feedback gain matrix is presented. A key advantage to this new approach is that the number of unknowns, which must be found such that a solution is obtained, is significantly reduced. Another advantage is that, since there is no subjective component introduced in the formulation of the design method which may inhibit or bias the results in some way, several, and in some cases all, solutions can be generated. These solutions may then be examined and candidate designs may be selected. It is proposed that, if coupled to an application specific expert system, the presented methodology can greatly reduce design time while providing superior designs. An example is given to illustrate the usefulness of the proposed method.<<ETX>>
This paper presents a novel method for closed loop control of magnetization process using feedbac... more This paper presents a novel method for closed loop control of magnetization process using feedback linearization. A macroscopic model for the temporal evolution of magnetization is developed to account for the physical phenomena of domain rotation and hysteresis. A tracking control system using feedback linearization method is derived to assure zero steady state error between the flux density with respect to the desired. The proposed nonlinear control method is evaluated by simulation results for a desired constant setpoint and a sinusoidal function tracking.
Multi-agent concepts are applied to a fleet of quadcopters for a synchronized hovering flight. Ea... more Multi-agent concepts are applied to a fleet of quadcopters for a synchronized hovering flight. Each quadcopter system is represented by a simple dynamic model which is linearized with respect to a hovering state. A two stage controller is proposed consisting of a local feedback loop for stabilization of individual platforms, and a global system-level feedback loop for synchronization. It is shown that with appropriate feedback, the fleet maintains stability of hovering formation. It is also shown that the controller maintains collective stability of the fleet in the event of failure of individual quadcopters. Simulation results are presented showing synchronized hovering in the horizontal and vertical planes.
A method for recovering close-to-nominal pre-fault performance of a dynamical system is presented... more A method for recovering close-to-nominal pre-fault performance of a dynamical system is presented. This method, based on the pseudo-inverse of the control matrix and the eigenstructure method of design, is not iterative and therefore should prove quite useful for on-line control restructuring applications. The method presented here guarantees stability of the closed loop restructured system.
Naval Engineers Journal, Mar 1, 2011
ABSTRACT The US Navy has a continuing interest and investment in basic and applied research in th... more ABSTRACT The US Navy has a continuing interest and investment in basic and applied research in the area of automation and control. The potential naval applications for this research are numerous and wide ranging. The need for advances in control and automation systems exists from missile defense, to shipboard auxiliary systems, to naval aircraft, and virtually everywhere in between. This research is performed in industry, academia, and in naval laboratories across the nation. This paper will detail particular research in control theory being performed in the area of automation and controls in the naval laboratories. A particle swarm optimization algorithm is used to manipulate the state and control weighting matrices of a linear quadratic regulator to achieve an optimal control for a desired eigenstructure. The algorithm is demonstrated on a nonlinear power system model, and is found to be highly effective in the stabilization of the system output performance, showing both rapid convergence and a closed loop eigenstructure very close to the specified eigenstructure.
This paper investigates the properties and effects of a novel consensus control power agent model... more This paper investigates the properties and effects of a novel consensus control power agent model and information discovery algorithm for (n,k)-star power distribution system. This system is a combination of power components represented by power agents in a interconnected networked topology called (n,k)-star. The generator agent model is based on the real-time control model for generator turbines. It is reactive to power flow and can change its status in response to received information from neighboring agents. Also, with the change of this generator agent model, we investigated its influence on system stability of the control algorithm. We show that with the new real-time generator agent model, the cooperative control algorithm we present is stable on a simple gain controller and can reach a consensus state for the whole (n,k)-star networked system. This consensus algorithm is then simulated to illustrate the convergence and stability on information discovery of the (n,k)-star power distribution system.
A method of using artificial neural networks to stabilize large flexible space structures is pres... more A method of using artificial neural networks to stabilize large flexible space structures is presented. The neural controller learns the dynamics of the structure to be controlled and constructs a control signal to stabilize structural vibrations. The network consists of a three layer feedforward network; the input layer receives the displacement and velocity information from sensors located at various points
This paper presents a novel method of control system design for nonlinear interconnected large-sc... more This paper presents a novel method of control system design for nonlinear interconnected large-scale systems. Conventional control design techniques often involve linearization of the system model with respect to an operating state, which may lead to incorrect control performance for systems that are highly nonlinear and interconnected. In this paper, a decentralized control design consisting of a PI controller with constant feedback gains is considered. Then a nonlinear optimal control method based on integral minimum principle of Pontryagin is developed. In this method, the controller performance is defined using a standard quadratic cost function, and the control law is defined using the PI structure with constant feedback gain. The effectiveness of the developed control scheme shows that the controller is capable of maintaining the desired water level in the four tanks.
2007 Annual Conference & Exposition Proceedings, Sep 3, 2020
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2022
Quantitative Biology, 2021
BackgroundThe COVID‐19 pandemic has become a formidable threat to global health and economy. The ... more BackgroundThe COVID‐19 pandemic has become a formidable threat to global health and economy. The coronavirus SARS‐CoV‐2 that causes COVID‐19 is known to spread by human‐to‐human transmission, and in about 40% cases, the exposed individuals are asymptomatic which makes it difficult to contain the virus.MethodsThis paper presents a modified SEIR epidemiological model and uses concepts of optimal control theory for analysis of the effects of intervention methods of the COVID19. Fundamentally the pandemic intervention problem can be viewed as a mathematical optimization problem as there are contradictory outcomes in terms of reduced infection and fatalities but with serious economic downturns.ResultsConcepts of optimal control theory have been used to determine the optimal control (intervention) levels of i) social contact mitigation and suppression, and ii) pharmaceutical intervention modalities, with minimum impacts on the economy. Numerical results show that with optimal intervention...
In many power networks, power supplies are usually set to be in a redundant configuration. The to... more In many power networks, power supplies are usually set to be in a redundant configuration. The total power demands in the networks may be far less than that of the capacity of the power supplies. After the power demands fulfilled an energy saving power generation dispatch becomes possible, and it plays an important role in saving the excess power in the networks. In this paper, we studied the energy saving problem in distributed power systems with tree configurations. We formulated the problem as a cooperative game among bus agents in a decentralized way. The Nash Bargaining Solution (NBS) provides a Pareto optimal and our energy saving algorithm is fair to all participated agents. Finally, we applied the algorithm to different scaled bus-oriented microgrids and the simulation results showed that the feasibility and performance are promising.
This paper presents a novel macroscopic model describing temporal evolution of hysteretic magneti... more This paper presents a novel macroscopic model describing temporal evolution of hysteretic magnetization. The physical phenomena of domain rotation and hysteresis are described by a first order nonlinear differential equation and a decreasing gain function. By varying the model parameters, the proposed model can be used to represent hysteresis curves for a variety of magnetic materials. Particle swarm optimization has been used for model validation based on experimental hysteresis data. A tracking control system using feedback linearization method is derived to assure zero steady state error between the flux density with respect to the desired value. The proposed nonlinear control method is evaluated by simulation results for a desired constant set point and a sinusoidal function.
The output feedback eigenstructure assignment problem is examined, and a new approach to computin... more The output feedback eigenstructure assignment problem is examined, and a new approach to computing the output feedback gain matrix is presented. A key advantage to this new approach is that the number of unknowns, which must be found such that a solution is obtained, is significantly reduced. Another advantage is that, since there is no subjective component introduced in the formulation of the design method which may inhibit or bias the results in some way, several, and in some cases all, solutions can be generated. These solutions may then be examined and candidate designs may be selected. It is proposed that, if coupled to an application specific expert system, the presented methodology can greatly reduce design time while providing superior designs. An example is given to illustrate the usefulness of the proposed method.<<ETX>>
This paper presents a novel method for closed loop control of magnetization process using feedbac... more This paper presents a novel method for closed loop control of magnetization process using feedback linearization. A macroscopic model for the temporal evolution of magnetization is developed to account for the physical phenomena of domain rotation and hysteresis. A tracking control system using feedback linearization method is derived to assure zero steady state error between the flux density with respect to the desired. The proposed nonlinear control method is evaluated by simulation results for a desired constant setpoint and a sinusoidal function tracking.
Multi-agent concepts are applied to a fleet of quadcopters for a synchronized hovering flight. Ea... more Multi-agent concepts are applied to a fleet of quadcopters for a synchronized hovering flight. Each quadcopter system is represented by a simple dynamic model which is linearized with respect to a hovering state. A two stage controller is proposed consisting of a local feedback loop for stabilization of individual platforms, and a global system-level feedback loop for synchronization. It is shown that with appropriate feedback, the fleet maintains stability of hovering formation. It is also shown that the controller maintains collective stability of the fleet in the event of failure of individual quadcopters. Simulation results are presented showing synchronized hovering in the horizontal and vertical planes.
A method for recovering close-to-nominal pre-fault performance of a dynamical system is presented... more A method for recovering close-to-nominal pre-fault performance of a dynamical system is presented. This method, based on the pseudo-inverse of the control matrix and the eigenstructure method of design, is not iterative and therefore should prove quite useful for on-line control restructuring applications. The method presented here guarantees stability of the closed loop restructured system.
Naval Engineers Journal, Mar 1, 2011
ABSTRACT The US Navy has a continuing interest and investment in basic and applied research in th... more ABSTRACT The US Navy has a continuing interest and investment in basic and applied research in the area of automation and control. The potential naval applications for this research are numerous and wide ranging. The need for advances in control and automation systems exists from missile defense, to shipboard auxiliary systems, to naval aircraft, and virtually everywhere in between. This research is performed in industry, academia, and in naval laboratories across the nation. This paper will detail particular research in control theory being performed in the area of automation and controls in the naval laboratories. A particle swarm optimization algorithm is used to manipulate the state and control weighting matrices of a linear quadratic regulator to achieve an optimal control for a desired eigenstructure. The algorithm is demonstrated on a nonlinear power system model, and is found to be highly effective in the stabilization of the system output performance, showing both rapid convergence and a closed loop eigenstructure very close to the specified eigenstructure.
This paper investigates the properties and effects of a novel consensus control power agent model... more This paper investigates the properties and effects of a novel consensus control power agent model and information discovery algorithm for (n,k)-star power distribution system. This system is a combination of power components represented by power agents in a interconnected networked topology called (n,k)-star. The generator agent model is based on the real-time control model for generator turbines. It is reactive to power flow and can change its status in response to received information from neighboring agents. Also, with the change of this generator agent model, we investigated its influence on system stability of the control algorithm. We show that with the new real-time generator agent model, the cooperative control algorithm we present is stable on a simple gain controller and can reach a consensus state for the whole (n,k)-star networked system. This consensus algorithm is then simulated to illustrate the convergence and stability on information discovery of the (n,k)-star power distribution system.
A method of using artificial neural networks to stabilize large flexible space structures is pres... more A method of using artificial neural networks to stabilize large flexible space structures is presented. The neural controller learns the dynamics of the structure to be controlled and constructs a control signal to stabilize structural vibrations. The network consists of a three layer feedforward network; the input layer receives the displacement and velocity information from sensors located at various points
This paper presents a novel method of control system design for nonlinear interconnected large-sc... more This paper presents a novel method of control system design for nonlinear interconnected large-scale systems. Conventional control design techniques often involve linearization of the system model with respect to an operating state, which may lead to incorrect control performance for systems that are highly nonlinear and interconnected. In this paper, a decentralized control design consisting of a PI controller with constant feedback gains is considered. Then a nonlinear optimal control method based on integral minimum principle of Pontryagin is developed. In this method, the controller performance is defined using a standard quadratic cost function, and the control law is defined using the PI structure with constant feedback gain. The effectiveness of the developed control scheme shows that the controller is capable of maintaining the desired water level in the four tanks.