Velocity control proves to be an effective and a more easily implementable actuation than boundary and distributed actuations for hyperbolic distributed parameter systems. However, the design of velocity control for t...
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Velocity control proves to be an effective and a more easily implementable actuation than boundary and distributed actuations for hyperbolic distributed parameter systems. However, the design of velocity control for these systems, following the late lumping approach, i.e., using the partial differential equations model, poses a challenging problem in control engineering. Noticeably, the velocity controller faces a control singularity issue, resulting in a loss of controllability that renders the controller impractical. In this paper, we demonstrate that the zeroing dynamics method is a viable alternative design approach for velocity control of hyperbolic distributed parameter systems following the late lumping approach. Thus, employing the partial differential equations model, a velocity state feedback forcing output tracking is developed based on the zeroing dynamic method. Furthermore, to address the control singularity problem, the zeroing gradient method is combined with the zeroing method to design a state feedback that achieves output tracking even when a singularity occurs. The tracking error convergence is demonstrated for both developed state feedbacks. The effectiveness of these design approaches is clearly demonstrated in the case of a steam -jacketed heat exchanger and a non -isothermal plug flow reactor.
This paper considers the consensus control problem of multi-agent systems (MAS) with second-order hyperbolicdistributedparameter models. Based on the framework of network topologies, a PI-type iterative learning con...
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This paper considers the consensus control problem of multi-agent systems (MAS) with second-order hyperbolicdistributedparameter models. Based on the framework of network topologies, a PI-type iterative learning control protocol is proposed by using the nearest neighbor knowledge. Using Gronwall inequality, a sufficient condition for the convergence of the consensus errors with respect to the iteration index is obtained. Finally, the validity of the proposed method is verified by two numerical examples.
Abstract Flatness based analysis and closed loop control design for networks of hyperbolic p.d.e.'s is considered. To this end a state space description is assigned to the flatness based parametrization of the inp...
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Abstract Flatness based analysis and closed loop control design for networks of hyperbolic p.d.e.'s is considered. To this end a state space description is assigned to the flatness based parametrization of the input trajectories. Stabilization of this system by state feedback is discussed. By means of a state transformation which directly follows from the parametrization of the trajectories of the state variables, this feedback can be given in the original coordinates.
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