On Stability Analysis of Behavioural Mixed Performance Controllers

The problem of synthesizing a controller for plants subject to arbitrary, finite energy disturbances and white noise disturbances via Linear Matrix Inequalities (LMIs) is presented. This is achieved by considering white noise disturbances as belonging to a constrained set in 12. In the case of where only white noise hsturbances are present, the procedure reduces to standard 312 synthesis. When arbitrary, finite energy disturbances are also present, the procedure may be used to synthesize general mixed performance objective controllers, and for certain cases, Robust 3 f 2 controllers.

[1]  Alan J. Laub,et al.  The LMI control toolbox , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[2]  Ian R. Petersen,et al.  Optimal guaranteed cost control of discrete‐time uncertain linear systems , 1998 .

[3]  F. Paganini,et al.  Controller synthesis for implicitly defined uncertain systems , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[4]  PackardAndy.  Gain scheduling via linear fractional transformations , 1994 .

[5]  Audra E. Kosh,et al.  Linear Algebra and its Applications , 1992 .

[6]  F. Paganini.  Set descriptions of white noise and worst case induced norms , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[7]  J. B. Pearson,et al.  Performance robustness of discrete-time systems with structured uncertainty , 1990, 29th IEEE Conference on Decision and Control.

[8]  J. Shamma.  Robust stability with time-varying structured uncertainty , 1994, IEEE Trans. Autom. Control..