Multi-Lagrange-Multiplier Problems: Desensitized Pole Assignment With Minimal Controller Matrix Norm for Networked Control Systems and Constraints in High-order Mechatronics

Alexander Weinmann

Mathematical and Computer Modelling of Dynamical Systems, 2003, vol. 9, issue 3, 345-362

Abstract: From a computational viewpoint, state controllers are implemented in fixed-point microcontrollers with matrices small in norm sense. Inaccuracies when implementing K in networked or remote control are anticipated by including a particular desensitization term. A direct approach for minimizing the Frobenius norm of the controller matrix is addressed including the conditions of predetermined eigenvalues of the closed-loop system. In mechatronics, there is a challenging demand on optimization augmented by a considerable number of conditions. The problem is solvable with several equality conditions included by Lagrange multipliers and interpolation techniques.

Date: 2003
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DOI: 10.1076/mcmd.9.3.345.24152

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