Interpolated Modeling of LPV Systems Based on Observability and Controllability
نویسنده
چکیده
This paper presents a State-space Model Interpolation of Local Estimates (SMILE) technique to compute linear parameter-varying (LPV) models for parameter-dependent systems through the interpolation of a set of linear time-invariant (LTI) state-space models obtained for fixed operating conditions. Since the state-space representation of LTI models is not unique, a suitable coherent representation needs to be computed for the local LTI models such that they can be interpolated. In this work, this coherent representation is computed based on observability and controllability properties. It is shown that compared with the state of the art in the literature, this new method has three strong appeals: it is general, fully automatic and results in numerically well-conditioned LPV models. An example demonstrates the potential of the new SMILE technique.
منابع مشابه
ON CONTROLLABILITY AND OBSERVABILITY OF FUZZY CONTROL SYSTEMS
In order to more effectively cope with the real world problems of vagueness, imprecise and subjectivity, fuzzy event systems were proposed recently. In this paper, we investigate the controllability and the observability property of two systems that one of them has fuzzy variables and the other one has fuzzy coefficients and fuzzy variables (fully fuzzy system). Also, sufficient conditions for ...
متن کاملControllability and observability of linear time varying singular systems
Controllability and observability of analytically solvable linear time-varying singular systems are considered. Our analysis includes the possible impulsive zero-input response. Based on the definitions of controllability and observability naturally extended from the ones adopted in the time-invariant setting, sufficient and necessary conditions for these two properties are derived. Furthermore...
متن کاملObservability And Controllability Analysis For Sandwich Systems With Backlash
In this paper, an approach to analyze the observability and controllability of sandwich systems with backlash is proposed. In this method, a non-smooth state-space function is used to describe the sandwich systems with backlash which are also non-smooth non-linear systems. Then, a linearization method based on non-smooth optimization is proposed to derive a linearized state-space function to ap...
متن کاملRcd Rules and Power Systems Observability
Power system state estimation is a process to find the bus voltage magnitudes and phase angles at every bus based on a given measurement set. The state estimation convergency is related to the sufficiency of the measurement set. Observability analysis actually tests this kind of problem and guarantees the state estimation accuracy. A new and useful algorithm is proposed and applied in this pape...
متن کاملStructural controllability and observability of switched linear systems
In the last years, the dynamic control of switched systems have attracted considerable interest, because these systems arise in many engineering fields. Controllability and observability of such systems, which are fundamental qualitative properties, have been studied by various researchers. In this work we focus on structural controllability/observability, using geometrical techniques as minive...
متن کامل