Adaptive constrained control subject to both input-amplitude and input-velocity constraints

• Published in: IEEE International Conference on Systems, Man and Cybernetics, 1993 Vol. 4; pp. 601 - 606 vol.4
• Main Authors: Moussas, C., Bitsoris, G.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 1993
• Subjects: Adaptive control; Chemical industry; Control systems; Laboratories; Parameter estimation; Polynomials; Programmable control; Projection algorithms; Resonance light scattering; Steady-state
• ISBN: 9780780309111; 0780309111
• DOI: 10.1109/ICSMC.1993.390780

An adaptive constrained one-step-ahead controller is presented, which is appropriate for the case where the input steady-state value u/sub r/, corresponding to a desirable set-point y/sub r/, is known a priori. Specifically, it is the deterministic version of the generalized minimum variance controller, designed in such a way as to handle two kinds of constraints, namely, |u/sub r/(k)|/spl les/c and |u/sub r/(k)-u(k-1)|/spl les/w. It is shown that for a stable, discrete-time, either minimum or nonminimum phase system, this can be achieved by making a suitable online choice of the quantities l and Q(q/sup -1/). Apart from the well-known RLS and projection algorithms, any other recursive parameter estimation scheme can be applied, as far as it shares some of the basic properties of the above algorithms. The performance of the proposed controller is demonstrated by means of simulation.< >