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Analysis and Optimization of Systems pp Cite as. We propose to derive a control-system-design-methodology valuable for non-linear continuous-time processes from a stability-analysis-technique based upon the use of vectorial norms  .
The design problem is considered from the stability viewpoint and the design methodology is parameter-optimization. A major-difficulty in nonlinear system-stability studies lies in the handling of sufficient stability conditions that can be very conservative with respect to the intrinsic stability properties of the system. A key-point of the proposed method consists in the definition of a scalar criterion the negativity of which implies asymptotic stability of the studied control system.
The design-method is thus achieved by minimizing the value of this criterion. The arguments of the stability-criterion consists of both the adjustable parameters and a representation basis in the state-space. The values of former arguments are the real synthesis-objective whereas the latter ones are artificial and are used in order to obtain the least conservative stability conditions as possible with respect to the choosen stability-analysis-theorem . The minimization of the criterion can be helped by the computation of a steepest-descent direction deduced from the simple-eigen-values sensitivity theory.
Abstract We propose to derive a control-system-design-methodology valuable for non-linear continuous-time processes from a stability-analysis-technique based upon the use of vectorial norms  . This process is experimental and the keywords may be updated as the learning algorithm improves. This is a preview of subscription content, log in to check access. Google Scholar. DEIF A. Control, Vol. AC, pp. Villeneuve D'Ascq Cedex France.
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ISBN 13: 9782040004026
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