Multivariable Feedback Control: Analysis and Design
Multivariable Feedback Control: Analysis and Design
Hi-index | 0.00 |
Recently we have established a link between invariants for quadratic optimization problems and linear-quadratic (LQ) optimal control [1]. The link is that for LQ control one invariant is ck = uk - Kxk, which yields zero loss from optimality when controlled to a constant setpoint c = cs = 0. In general there exists infinitely many such invariants to a quadratic programming (QP) problem. In [2] we show how the link can be used to generate output feedback control by using current and old measurements. In this paper we extend this approach by considering in more detail some interesting examples, and the use of additional (old) measurements. In particular, we show that if the number of measurements is less than the number of disturbances (initial states) plus independent inputs, we can not with this method find a policy uk = --Kyky that minimizes the original problem, because Ky is not optimally constant. However, this method may be used to find initial values for H2-optimal static output feedback synthesis.