Conservativity of Ellipsoidal Stability Regions Estimates for Input Saturated Linear Systems
نویسندگان
چکیده
This paper presents a comparative study of different existing algorithms for determining stability domains for linear systems with saturating inputs. Algorithms based on the solution of LMI problems carried out on the basis of three different saturation models, namely regions of saturation, differential inclusion, and sector modeling, are analyzed and compared in terms of their ability to provide large stability domains for the closed-loop system. The main reasons such algorithms incorporate conservativity are highlighted, this being the main contribution of this paper. Results are illustrated by means of an example. Copyright c 2002 IFAC
منابع مشابه
Eigenvalue Assignment Of Discrete-Time Linear Systems With State And Input Time-Delays
Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stabi...
متن کاملIdentification and Control: Joint Input Design and H∞ State Feedback with Ellipsoidal Parametric Uncertainty
One obstacle in connecting robust control with models generated from prediction error identification is that very few control design methods are able to directly cope with the ellipsoidal parametric uncertainty regions that are generated by such identification methods. In this contribution we present a sufficient condition for the existence of a H∞ state feedback controller for the multi-input/...
متن کاملPolyhedral regions of local stability for linear discrete-time systems with saturating controls
The study and the determination of polyhedral regions of local stability for linear systems subject to control saturation is addressed. The analysis of the nonlinear behavior of the closed-loop saturated system is made by dividing the state space in regions of saturation. Inside each of these regions, the system evolution can be represented by a linear system with an additive disturbance. From ...
متن کاملContribution to Analysis of Conservativity, Dissipativity and System Stability
The contribution is mainly concerned with presentation of a new fundamental approach to structural properties of linear and non-linear causal system representations. It has been proven that complete analysis of instability, conservativity, dissipativity, anti-dissipativity, stability, asymptotic stability and chaoticity reduces to two independent tests: the test of state energy monotonicity and...
متن کاملNew results on robust stabilization via saturated feedback
In this paper we deal with the problem of stabilization of uncertain systems in the presence of input constraint. First algebraic conditions are derived for input-to-state stability of linear system with saturated linear feedback of low dimension. Then a recursive design procedure is derived for robust stabilization of block upper triangular nonlinear systems with feedforward structure.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002