Electrical and Electronic Engineering - Research Publications
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ItemNo Preview AvailableEvent-Triggered Boundary Control of 2 x 2 Semilinear Hyperbolic Systems(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2024-01)
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ItemNo Preview AvailableBoundary Feedback Control of 2x2 Quasilinear Hyperbolic Systems: Predictive Synthesis and Robustness Analysis(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 2022-03)
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ItemNo Preview AvailableModeling and Control of Pipeline Networks Supplied by Automated Irrigation Channels(American Society of Civil Engineers, 2022-06-01)A model-based approach to control system design is developed for regulating the discharge flows at the outlets of a pipeline network supplied by an irrigation channel. The open channel is also controlled automatically to regulate the supply-point water level. The hydraulic pressure at the source of the network is therefore dynamic when flow load varies. Regulation of the piped discharge flows is achieved by adjusting outlet control valves on the basis of the specified flow demand and sensor measurements. A blend of feedforward and feedback control is proposed. The steady-state behaviour of a nonlinear distributed-parameter model of the network is used to determine the feedforward control action. The feedback control action is used to compensate for modeling error. The design of the feedback controller is based on a frequency-domain transfer function model of the system dynamics, and classical loop-shaping ideas. This model is obtained via the admittance matrix of linearized network equations. The synthesis of both centralized and decentralized feedback controller configurations is considered. Simulations that involve a nonlinear distributed-parameter model of the network dynamics are used to illustrate controller performance.
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ItemNo Preview AvailablePredictive feedback boundary control of semilinear and quasilinear 2 × 2 hyperbolic PDE–ODE systems(Elsevier BV, 2022-06-01)We present a control design for semilinear and quasilinear 2 × 2 hyperbolic partial differential equations with the control input at one boundary and a nonlinear ordinary differential equation coupled to the other. The controller can be designed to asymptotically stabilize the system at an equilibrium or relative to a reference signal. Two related but different controllers for semilinear and general quasilinear systems are presented and the additional challenges in quasilinear systems are discussed. Moreover, we present an observer that estimates the distributed PDE state and the unmeasured ODE state from measurements at the actuated boundary only, which can be used to also solve the output feedback control problem.
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ItemDirect Predictive Boundary Control of a First-order Quasilinear Hyperbolic PDE(IEEE, 2020-03-12)We present a method for the boundary control of a system governed by one hyperbolic PDE with a non-local coupling term by state feedback. The method is an extension of recently developed controllers for semilinear systems. The design consists of three steps: predicting the states up to the time when they are affected by the delayed input; virtually moving the input to the uncontrolled boundary (which makes characterizing stability trivial); and constructing the inputs by, starting with the desired boundary values at the uncontrolled boundary, solving an ODE governing the dynamics on the system's characteristic lines backwards in time. The controller steers the system to the origin in finite time. A discussion of potential extensions of the presented method is given.
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ItemOutput feedback boundary control of heterodirectional semilinear hyperbolic systems(Elsevier, 2020-07-01)We solve the problem of stabilizing a general class of 1-d semilinear hyperbolic systems with an arbitrary number of states convecting in each direction and with the actuation and sensing restricted to one boundary. The control design is based on the dynamics on the characteristic lines along which the inputs propagate through the domain and the predictability of states in the interior of the domain up to the time they are affected by the inputs. In the context of broad solutions, the state-feedback controller drives systems with globally Lipschitz nonlinearities from an arbitrary initial condition to the origin in minimum time. Alternatively, it is possible to satisfy a tracking objective at the uncontrolled boundary or, for systems with C1-coefficients and initial conditions, to design the control inputs to obtain classical C1-solutions that also reach the origin in finite time. Further, we design an observer that estimates the distributed state from boundary measurements only. The observer combined with the state-feedback controller solves the output-feedback control problem.