Modelling techniques for optimal control of distributed parameter systems

Modelling and Control for 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...

Inverse Optimal Control of Linear Distributed Parameter Systems

A constructive method is developed to design inverse optimal controllers for a class of linear distributed parameter systems (DPSs). Inverse optimality guarantees that the cost functional to be minimized is meaningful in the sense that the symmetric and positive definite weighting kernel matrix on the states is chosen after the control design instead of being specified at the start of the contr...

Multilevel Optimal Control of Interconnected Distributed Parameter Systems

The control of distributed parameter systems presents a great many theoretical problems and has already given rise, over the last few years, to some fundamental research. However, the results obtained so far do not, in general, enable one to get round the difficulties which arise when the proposed control laws are applied. For this reason, a number of research teams have turned their attention ...

On Approximation and Optimal Control of Nonnormal Distributed Parameter Systems

For more than 100 years, the Navier-Stokes equations and various linearizations have been used as a model to study fluid dynamics. Recently, attention has been directed toward studying the nonnormality of linearized problems and developing convergent numerical schemes for simulation of these sytems. Numerical schemes for optimal control problems often require additional properties that may not ...