Robust Stability of Linear Continuous and Discrete - Time SystemsUnder Parametric Uncertainty
نویسندگان
چکیده
Conditions for robust stability in linear continuous systems are derived, when all matrices of the state-space model are perturbed by independent uncertain parameters and static output feedback is applied. Two diierent approaches are presented. Then, improved conditions for robust stability in linear discrete-time systems with both un-structured and structured perturbations in the system matrix A are derived. Finally, a suucient condition for robust stability when again all matrices of the state-space model are perturbed by independent uncertain parameters and static output feedback is applied, is derived. The analysis for all the problems studied above is based on the direct method of Lyapunov. Several examples are used to illustrate the results.
منابع مشابه
Explicit asymmetric bounds for robust stability of continuous and discrete-time systems - Automatic Control, IEEE Transactions on
The problem of robust stability in linear systems with parametric uncertainties is considered. Explicit stability bounds on uncertain parameters are derived and expressed in terms of linear inequalities for continuous systems, and inequalities with quadratic terms for discrete-times systems. Cases where system parameters are nonlinear functions of an uncertainty are also examined.
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