Optimal Deadbeat Control Signal and pulse Transfor Function

Two objective optimal multivariable ripple-free deadbeat control

This paper presents novel results on optimal multivariable deadbeat control. Given a discrete-time, stable, linear and time invariant plant model, we give a simple parameterisation of all stabilising ripple-free deadbeat controllers of a given order. The free parameter is then optimised in the sense that a quadratic index is kept minimal. The optimality criterion has the advantage of accounting...

Optimal Control of Singular System via Block Pulse Function

A method for finding the optimal control of singular system with a quadratic cost functional using block pulse function is discussed. After introducing block pulse function in the beginning we develop an operational matrix for solving singular state equations. A numerical example is included to demonstrate the validity and applicability of the technique. Keywords— Optimal control, Singular syst...

H2 optimal ripple-free deadbeat controller design

This paper deals with the design ripple-free deadbeat controllers for sampled-data systems. Given a prescribed settling time, the design problem is tackled by computing a ripple-free deadbeat controller that optimizes an H2 performance criterion. This criterion accounts for the quality of the tracking response and for the control energy necessary to achieve the deadbeat behavior. Our main resul...

Multivariable Ripple-Free Deadbeat Control

The design of multivariable ripple-free deadbeat controllers is a complex task. One approach which has shown promise for solving multivariable ripple-free deadbeat control (MRFDC) problems is the use of Diophantine equation parameters. The problem of solving robust multivariable ripple free deadbeat with time delays has not been solved. This paper proposes a hybrid two degree of freedom control...

Polynomial design of deadbeat control laws