Adaptive Regulator Design for Collocated Parabolic Distributed Parameter Systems

a Simplified Model of Distributed Parameter Systems

A generalized simplified model for describing the dynamic behavior of distributed parameter systems is proposed. The various specific characteristics of gain and phase angle of distributed parameter systems are investigated from frequency response formulation and complex plane representation of the proposed simplified model. The complex plane investigation renders some important inequality cons...

Actuator Design for Parabolic Distributed Parameter Systems with the Moment Method

In this paper, we model and solve the problem of designing in an optimal way actuators for parabolic partial differential equations settled on a bounded open connected subset Ω of IR. We optimize not only the location but also the shape of actuators, by finding what is the optimal distribution of actuators in Ω, over all possible such distributions of a given measure. Using the moment method, w...

Experimental design for distributed parameter vector systems

We formulate an optimal design problem for the selection of best states to observe and optimal sampling times and locations for parameter estimation or inverse problems involving complex nonlinear nonlinear partial differential systems. An iterative algorithm for implementation of the resulting methodology is proposed.

Controller Design For Distributed Parameter Systems

Adaptive Control of Chemical Distributed Parameter Systems

The adaptive output feedback control problem of chemical distributed parameter systems is investigated while the process parameters are unknown. Such systems can be usually modeled by semilinear partial differential equations (PDEs). A combination of Galerkin’s method and proper orthogonal decomposition is applied to generate a reduced order model which captures the dominant dynamic behavior of...