There are two main limit ations in the use of Hoo theory for compensator design. First, only full complex perturb ations() Cnm can be treated in a non-conservative way in an Ho robust st ability test. Second, robust performance can only be handled in a conservative way even for full complex perturbations since st ability and performance can not be separated in the Hoo structure
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Above, analysis for multivariable control systems with respect to nominal and robust st ability as well as nominal and robust performan has been assessed. It was assumed that the spec- ifications for robustness were given in terms of weight matrices Wu(s) and Wu2(s), and that the performance specifications similarly were given by weight matrices Wpi(s) and Wp2()
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In this chapter, st ability and performance for multivariable systems with uncertainty will be considered. Consider a general multivariable system as depicted in Figure 5.1. All signals will in general be vectors, and G() and K(s) will be transfer matrices. d(s) is an output distur- bance signal and n() represents
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