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Robust H/D-stability control of systems with polytopic uncertainty

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3 Author(s)
Dong Fu ; Coll. of Inf. Sci. & Eng., Hebei Univ. of Sci. & Technol., Shijiazhuang, China ; Suhong Ni ; Man Sun

In this paper, new separated H performance criterion and D-stability criterion are derived. When used in robust synthesis for real polytopic uncertainty, they can reduce conservativeness inherent in the classical quadratic method by providing a parameter-dependent Lyapunov function, and therefore, lead to potentially less conservative results. The results are then extended to design H/D-stability controllers for polytopic uncertain systems. All the conditions are given in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the proposed method.

Published in:

Control and Automation, 2009. ICCA 2009. IEEE International Conference on

Date of Conference:

9-11 Dec. 2009