Robustness Bounds for Matrix -stability
نویسنده
چکیده
This paper addresses the problem of robust matrix rootclustering analysis. The considered matrices are complex and subject to both polytopic and parameter-dependent normbounded uncertainties. The clustering regions are unions of convex and possibly disjoint and nonsymmetric subregions of the complex plane. The proposed clustering conditions are formulated through an approach based upon Linear Matrix Inequalities. These numerical tools enable to easiliy compute Lyapunov matrices (possibly parameter-dependent) that ensure the clustering property.
منابع مشابه
Real robustness bounds using generalized stability multipliers ANDREW G. SPARKSt and DENNIS S. BERNSTEINt
Sufficient conditions for robust stability using generalized stability multipliers are presented for systems with sectorand norm-bounded, block-structured real uncertainty. Two parametrizations of the multiplier are considered and the robustness criteria are written as linear matrix inequalities. Upper bounds for the peak structured singular value over frequency, which eliminate frequency gridd...
متن کاملReal robustness bounds using generalized stability multipliers
Su cient conditions for robust stability using generalized stability multipliers are presented for systems with sectorand norm-bounded, block-structured real uncertainty. Two parametrizations of the multiplier are considered and the robustness criteria are written as linear matrix inequalities. Upper bounds for the peak structured singular value over frequency, which eliminate frequency griddi...
متن کاملA note on positive deniteness and stability of interval matrices
It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. These conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.Furthermore we introduce a new necessary and sucient condition for checkingstability of interval...
متن کاملA note on positive deniteness and stability of interval matrices
It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. These conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.Furthermore we introduce a new necessary and sucient condition for checkingstability of interval...
متن کاملA framework for robustness analysis of constrained finite receding horizon control
A framework for robustness analysis of input constrained nite receding horizon control is presented. Under the assumption of quadratic upper bounds on the nite horizon costs, we derive suucient conditions for robust stability of the standard discrete-time linear-quadratic receding horizon control formulation. This is achieved by recasting conditions for nominal and robust stability as an implic...
متن کاملStability - robustness Analysis for Linear Systems with State - space Models
The stability-robustness analysis for linear systems with state-space models is considered, The jiindamental problem of linear control systems subject to unstructured perturbations is addressed, and the results are extended to the consideration oj’linear control systems subject to linear structured perturbations. A modtjied time-domain Lyapunov-based method of stability-robustness analysis is p...
متن کامل