Sampled-Data Control of 2-D Kuramoto–Sivashinsky Equation

Sampled-data control of semilinear 1-d heat equations ?

A semilinear one-dimensional convection-diffusion equation with distributed control, coupled to the Dirichlet or to the mixed boundary conditions, is considered. A sampled-data controller design is developed, where the sampled-data (in time) measurements of the state are taken in a finite number of fixed sampling points in the spatial domain. Sufficient conditions for the exponential convergenc...

Sampled-Data Boundary Feedback Control of 1-D Parabolic PDEs

The paper provides results for the application of boundary feedback control with Zero-Order-Hold (ZOH) to 1-D linear parabolic systems on bounded domains. It is shown that the continuous-time boundary feedback applied in a sample-and-hold fashion guarantees closed-loop exponential stability, provided that the sampling period is sufficiently small. Two different continuous-time feedback designs ...

Sampled-data supervisory control

This paper focuses on issues related to implementing timed discrete-event systems (TDES) supervisors, and the concurrency and timing delay issues involved. In particular, we examine issues related to implementing TDES as sampled-data (SD) controllers. An SD controller is driven by a periodic clock and sees the system as a series of inputs and outputs. On each clock edge (tick event), it samples...

Optimal Sampled-data Control

Mixed H 2 =h 1 Control of Sampled-data Systems

A worst-case mixed H 2 =H 1-optimal control problem is formulated and solved for sampled-data systems. The solution is obtained in terms of a set of synthesis equations, which correspond to similar synthesis equations for the continuous and discrete mixed H 2 =H 1 problems. The mixed H 2 =H 1 problem can be applied to the design of controllers which achieve robust H 2 performance for uncertain ...