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This paper considers the problem of decentralized controllers for spatially distributed systems. The spatially distributed systems are assumed to have a network of control units and the decentralized design is solved by approximation of the feedback kernels. By first obtaining the full state feedback controllers corresponding to the centralized design, the individual feedback operators are numerically...
This paper considers the multi-level approximation of controllers for partial differential equations. First, assuming that the full state is available, an optimal controller based on a finite horizon Linear Quadratic Regulator (LQR) design is computed. Assuming that the feedback operator admits a time varying feedback kernel, the first level approximation provides a means to replace the requirement...
This paper presents two different design approaches of networked distributed controllers for a class of partial differential equations. Such a work attempts to reduce controller complexity by opting to control a spatially distributed process by a network of interconnected control units. This approach reduces the need to use a centralized controller that must fuse sensory information by the distributed...
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