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This paper studies robust stability of linear systems with polytopic uncertainty. New necessary and sufficient conditions for the existence of an affine parameter-dependent Lyapunov function assuring the Hurwitz or Schur stability of a polytopic system, which are composed of a family of linear matrix inequality conditions of increasing precision. At each step, a set of linear matrix inequalities provides...
In this paper, a new stable robust adaptive control approach is presented for SISO uncertain nonlinear system. The key assumption is that LS-SVM approximation errors and external disturbances satisfy certain bounding conditions. The LS-SVM can find a global minimum and avoid local minimum. Its weights in the observer can be tuned after training phase and find optimistic value automatically. By combining...
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