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In this brief, we explore the use of conformal mapping theory to reduce the complexity in PDE backstepping boundary observer design. The technique is applied to a genetic analysis microchip that features a collocated sensor–actuator architecture in which the temperature of the reaction chamber is the spatially distributed control variable. The size and structure of the microchip do not allow for sensor...
In this paper we study backstepping boundary observer design for a class of distributed parameter systems defined in a cylindrical domain with prescribed boundary conditions. We show that applying standard PDE backstepping boundary observer design results in a hyperbolic PDE with four independent variables which is difficult to solve both numerically and analytically. By introducing a modified domain...
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