H∞ Controller Design for Spectral MIMO Models by Convex Optimization

Galdos, GorkaKarimi, AlirezaLongchamp, Roland2010-02-112010-02-112010-02-11201010.1016/j.jprocont.2010.07.006https://infoscience.epfl.ch/handle/20.500.14299/46623WOS:000284920300008A new method for robust ﬁxed-order H∞ controller design by convex optimization for multivariable systems is investigated. Linear Time-Invariant Multi-Input Multi- Output (LTI-MIMO) systems represented by a set of complex values in the frequency domain are considered. It is shown that the Generalized Nyquist Stability criterion can be approximated by a set of convex constraints with respect to the parameters of a multivariable linearly parameterized controller in the Nyquist diagram. The diagonal elements of the controller are tuned to satisfy the desired performances, while simultaneously, the oﬀ-diagonal elements are designed to decouple the system. Multimodel uncertainty can be directly considered in the proposed approach by increasing the number of constraints. A simulation example illustrates the eﬀectiveness of the proposed approach. by a simulation example on an unstable system.Convex OptimizationH∞ controlMIMO systemH∞ Controller Design for Spectral MIMO Models by Convex Optimizationtext::journal::journal article::research article