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Input-Output Stability Implies Exact Linearization | ||
| basrah journal of science | ||
| Article 1, Volume 30, Issue 1, 2012, Pages 75-89 PDF (0 K) | ||
| Author | ||
| Dr. Abbas. AL- Kaphagy Wasen I. khalil | ||
| Abstract | ||
| We study the recently introduced notion of input-output stability, which is a robust variant of the minimum phase property for general smooth nonlinear control descriptor systems. This paper develops the theory of input-output stability in the single-input, single-output setting. We knew that if a descriptor system has a uniform M vector relative degree and is detectable through the output and its derivatives up to some order, uniformly over all inputs that produce a given output, then it is input-output stable. In this paper we show that the converse is also true, thus arriving at a useful equivalent characterization of input-output stability. In this paper, exact linearization via state feedback and stabilization for affine descriptor systems are considered. Using a local diffeomorphism and a state feedback, the affine descriptor system is transformed to a linear normal form system. Choosing a appropriate feedback controller, the closed-loop system is asymptotically stabilized. | ||
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