H∞ control for descriptor systems: a matrix inequalities approach
Automatica (Journal of IFAC)
Technical Communique: Static Output Feedback Stabilization: An ILMI Approach
Automatica (Journal of IFAC)
Brief On the design of multivariable PID controllers via LMI approach
Automatica (Journal of IFAC)
An iterative LMI approach to H∞ networked control with random communication delays
International Journal of Systems, Control and Communications
International Journal of Systems Science
ACC'09 Proceedings of the 2009 conference on American Control Conference
H∞ control for networked systems with multiple packet dropouts
Information Sciences: an International Journal
Hi-index | 22.14 |
This note improves the results of Zheng, Wang, and Lee (Automatica 38 (2002) 517) on the design of multivariable PID controllers via LMI approach. The idea of the improvement is to transform the problem of PID controller design to that of static output feedback (SOF) controller design for a system in descriptor form. The merits of the present result are: (1) The present condition removes the invertibility constraint on the controllers in Zheng et al. (2002) and incorporates it to the matrix inequality to be solved. (2) Once the SOF matrix is obtained, the PID gains are ready in hand and no additional computation is needed. (3) The present approach can deal with the case of some system parameters subject to perturbations.