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The control of mechanical systems with constraints has been a topic of intense research in the control and dynamical systems community for the past two decades. In particular, systems with velocity and/or acceleration level constraints which appear in many applications like - robotics, spacecrafts, launch vehicles, underwater vehicles - have been studied intensively. This monograph is a self-contained exposition on a switched, finite-time, control strategy for this class of systems. Beginning with basic definitions and mathematical preliminaries, the monograph works its way up to the main control algorithm. Three well-studied applications are chosen to demonstrate the algorithm. Other facets of the algorithm and an alternate algorithm are also briefly touched upon. The monograph is intended for graduate students and researchers in the area of nonlinear control and dynamical systems.

Automatic control --- Nonlinear control theory --- Switching theory --- Mobile robots --- Ground-effect machines --- Submersibles --- Commande automatique --- Commande non linéaire --- Commutation, Théorie de la --- Engineering. --- Systems theory. --- Control Engineering. --- Systems Theory, Control. --- Automation and Robotics. --- Submergibles --- Undersea vehicles --- Underwater vehicles --- Air-bearing vehicles --- Air-cushion vehicles --- Ground pressure vehicles, Minimum --- Ground proximity machines --- Hovercraft --- Control engineering --- Control equipment --- Construction --- System theory. --- Control engineering. --- Robotics. --- Mechatronics. --- Engineering, general. --- Control, Robotics, Mechatronics. --- Industrial arts --- Technology --- Systems, Theory of --- Systems science --- Science --- Philosophy --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Automation --- Machine theory --- Control theory --- Engineering instruments --- Programmable controllers --- Automatic control.

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In this work we derive asymptotically stabilizing control laws for electrical power systems using two nonlinear control synthesis techniques. For this transient stabilization problem the actuator considered is a power electronic device, a controllable series capacitor (CSC). The power system is described using two different nonlinear models - the second order swing equation and the third order flux-decay model. To start with, the CSC is modeled by the injection model which is based on the assumption that the CSC dynamics is very fast as compared to the dynamics of the power system and hence can be approximated by an algebraic equation. Here, by neglecting the CSC dynamics, the input vector $g(x)$ in the open loop system takes a complex form - the injection model. Using this model, interconnection and damping assignment passivity-based control (IDA-PBC) methodology is demonstrated on two power systems: a single machine infinite bus (SMIB) system and a two machine system. Further, IDA-PBC is used to derive stabilizing controllers for power systems, where the CSC dynamics are included as a first order system. Next, we consider a different control methodology, immersion and invariance (I&I), to synthesize an asymptotically stabilizing control law for the SMIB system with a CSC. The CSC is described by a first order system. As a generalization of I&I, we incorporate the power balance algebraic constraints in the load bus to the SMIB swing equation, and extend the design philosophy to a class of differential algebraic systems. The proposed result is then demonstrated on another example: a two-machine system with two load buses and a CSC. The controller performances are validated through simulations for all cases.     .

Capacitors. --- Electric engineering. --- Electric power systems -- Control. --- Nonlinear control theory. --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Electrical Engineering --- Electric power. --- Electric power supply --- Power supply, Electric --- Condensers (Electricity) --- Electric capacitors --- Electric condensers --- Engineering. --- Energy systems. --- Electric power production. --- Complexity, Computational. --- Control engineering. --- Power electronics. --- Power Electronics, Electrical Machines and Networks. --- Energy Systems. --- Control. --- Energy Technology. --- Complexity. --- Dielectric devices --- Electric capacity --- Energy storage --- Passive components --- Tank circuits --- Power resources --- Control theory --- Nonlinear theories --- Production of electric energy or. --- Control and Systems Theory. --- Construction --- Industrial arts --- Technology --- Computational complexity. --- Electronics, Power --- Electric power --- Electronics --- Complexity, Computational --- Electronic data processing --- Machine theory --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers

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In this work we derive asymptotically stabilizing control laws for electrical power systems using two nonlinear control synthesis techniques. For this transient stabilization problem the actuator considered is a power electronic device, a controllable series capacitor (CSC). The power system is described using two different nonlinear models - the second order swing equation and the third order flux-decay model. To start with, the CSC is modeled by the injection model which is based on the assumption that the CSC dynamics is very fast as compared to the dynamics of the power system and hence can be approximated by an algebraic equation. Here, by neglecting the CSC dynamics, the input vector g(x) in the open loop system takes a complex form - the injection model. Using this model, interconnection and damping assignment passivity-based control (IDA-PBC) methodology is demonstrated on two power systems: a single machine infinite bus (SMIB) system and a two machine system. Further, IDA-PBC is used to derive stabilizing controllers for power systems, where the CSC dynamics are included as a first order system. Next, we consider a different control methodology, immersion and invariance (I&I), to synthesize an asymptotically stabilizing control law for the SMIB system with a CSC. The CSC is described by a first order system. As a generalization of I&I, we incorporate the power balance algebraic constraints in the load bus to the SMIB swing equation, and extend the design philosophy to a class of differential algebraic systems. The proposed result is then demonstrated on another example: a two-machine system with two load buses and a CSC. The controller performances are validated through simulations for all cases.     

Electricity --- Relation between energy and economics --- Electrical engineering --- Applied physical engineering --- Engineering sciences. Technology --- Computer science --- Artificial intelligence. Robotics. Simulation. Graphics --- Equipment, services, installations in buildings --- elektrische netwerken --- informatica --- elektriciteit --- energietechniek --- controleleer --- elektrische machines --- elektriciteitsdistributie