An Ellipsoidal Predictor–Corrector State Estimation Scheme for Linear Continuous-Time Systems With Bounded Parameters and Bounded Measurement Errors
نویسندگان
چکیده
For linear time-invariant dynamic systems with exactly known coefficients of their system matrices for which measurements bounded errors are available at discrete time instants, an optimal polygonal state estimation scheme was recently published. This allows tightly enclosing all possible trajectories in presence uncertain, but bounded, inputs may be varying arbitrarily within bounds. Moreover, this approach is also capable accounting uncertainty related to the measurement instants. However, drawback technique its rapidly increasing complexity larger dimensions. that reason, enclosures replaced by a computationally less expensive, nearly optimal, ellipsoidal enclosure paper. Numerical simulations representative benchmark examples focusing both on applications precisely and uncertain parameters conclude contribution.
منابع مشابه
Guaranteed State and Parameter Estimation for Nonlinear Continuous-Time Systems with Bounded-Error Measurements
A strategy for state and parameter estimation in nonlinear, continuous-time systems is presented. The method provides guaranteed enclosures of all state and parameter values that are consistent with bounded-error output measurements. Key features of the method are the use of a new validated solver for parametric ODEs, which is used to produce guaranteed bounds on the solutions of nonlinear dyna...
متن کاملParameter estimation for non-linear continuous-time systems in a bounded error context
This paper deals with guaranteed parameter estimation in a bounded error context for nonlinear continuous-time systems. Perturbations are assumed bounded but otherwise unknown. The solution is a set of parameter vectors consistent with modelling hypotheses, measured data and prior error bounds. The algorithm proposed in this paper does not suffer from initialization problems encountered in the ...
متن کاملAuthor's personal copy H1 filtering for discrete-time linear systems with bounded time- varying parameters
In this paper, the problem of linear parameter varying (LPV) filter design for timevarying discrete-time polytopic systems with bounded rates of variation is investigated. The design conditions are obtained by means of a parameter-dependent Lyapunov function and extra variables for the filter design, expressed as bilinear matrix inequalities. An LPV filter, which minimizes an upper bound to the...
متن کاملINTUITIONISTIC FUZZY BOUNDED LINEAR OPERATORS
The object of this paper is to introduce the notion of intuitionisticfuzzy continuous mappings and intuitionistic fuzzy bounded linear operatorsfrom one intuitionistic fuzzy n-normed linear space to another. Relation betweenintuitionistic fuzzy continuity and intuitionistic fuzzy bounded linearoperators are studied and some interesting results are obtained.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Frontiers in control engineering
سال: 2022
ISSN: ['2673-6268']
DOI: https://doi.org/10.3389/fcteg.2022.785795