Existence of (cheap) minimal norm controllers

Fixed-structure synthesis of induced-norm controllers

This paper proposes a ® xed-structure technique for synthesizing controllers that are optimal with respect to various operator norms. An optimal control problem is developed for each of these operator norms, and necessary conditions for sub-optimal performance are derived. Mixed-norm optimal control problems are also formulated. A continuation algorithm using quasi-Newton corrections is used to...

On the Existence of an Absolutely Minimal Norm in a Banach Algebra

1. The norm || • || in a Banach algebra A is said to be minimal [l ] if, given any other norm || •||1 in A (with respect to which A need not be complete), the condition ||a||iá||a|| for each oG^4 implies that ||a[|i = ||a||. We shall say that || •|| is absolutely minimal if, given any other norm ||-||i whatever in A, then ||a||iè||a|| for each aEA. An absolutely minimal norm is of course minima...

“Intelligent” controllers on cheap and small programmable devices

It is shown that the “intelligent” controllers which are associated to the recently introduced model-free control synthesis may be easily implemented on cheap and small programmable devices. Several successful numerical experiments are presented with a special emphasis on fault tolerant control. Keywords— Model-free control, intelligent PID controllers, small programmable devices, estimation, i...

Existence of an Algebra Norm on Certain Subalgebras of C(X)

A receding horizon generalization of pointwise min-norm controllers

Control Lyapunov functions (CLF’s) are used in conjunction with receding horizon control (RHC) to develop a new class of receding horizon control schemes. In the process, strong connections between the seemingly disparate approaches are revealed, leading to a unified picture that ties together the notions of pointwise min-norm, receding horizon, and optimal control. This framework is used to de...