1,721,003 research outputs found
Feedback linearization of nonlinear time-delay systems over a time window via discontinuous control
Full text linkFeedback linearization is worked out for nonlinear time-delay systems and it is shown that even if the problem can not be solved for all time, it may still be solved over some time windows. The solution then reduces to a discontinuous state feedback. It is foreseen that such piecewise feedback linearization can be instrumental for stabilization by a discontinuous control, although it is not the scope of this paper. The approach used herein may be used to address other classical control problems. It takes advantage of the delays as delays duplicate somehow the number of independent control values at some given time instant
T-Accessibility for a class of nonlinear time–delay systems
No full textObservability and detectability on one hand as well as accessibility and controllability on the other, are related properties and have not been closely investigated for nonlinear–time delay systems until these recent years. Currently accessibility or nonlinear time delay systems is defined as the absence of autonomous functions on the extended state space. Such a property is expressed in terms of the Accessibility matrix rank, extending to the nonlinear context the well known Kalman Criterion. A weaker notion is introduced in this paper which is motivated by the fact that even if autonomous functions exist for the given system, it may be still possible to move from a fixed point to an arbitrary one in some open subset of IRn. The study is performed on the class of driftless single input system
Observability of nonlinear time–delay systems and its application to their state realization
Full text linkIn this paper, it is shown that the two notions of weak observability and strong observability may not be sufficient to describe the link between the input/output equation associated to the behaviour of a system and its state space realization. A new notion, called regular observability, is introduced, which is shown to capture essential features of nonlinear time delay systems and the existence of some realization
On the chained form with delays on the state variables
No full textThe chained form with time-delays on the state variables is introduced. It generalizes the classical chained form which is encountered in mobile robotics with non holonomic constraints. In the present paper necessary and sufficient conditions are given for the equivalence to the considered form under bicausal change of coordinates. Peculiarities of time delay systems are highlighted
Nonlinear Control Systems
No full textSpringer Lecture Notes in Control and Information Science, Springer vol. 24
Diabetic Gastroparesis Modeling and Observer Design
Full text linkType 1 diabetes results from the lack of endogenous production of insulin by the pancreas.
According to various references, 4% to 12% of diabetic patients are affected by gastroparesis which
delays the digestion process. Gastroparesis is characterized by a constellation of gastrointestinal
symptoms in association with delayed gastric emptying (GE). For the first time, a mathematical model
is introduced to describe the glycemia dynamics for this significant class of patients. It is shown to yield
to a nonlinear time delay model designed for estimation and control
Tools in nonlinear system theory. Output injection and canonical forms, Toward a Notion of Canonical Form for Nonlinear Systems
No full textDisturbance Decoupling in Nonlinear Impulsive Systems
No full textThis work deals with the problem of structural disturbance decoupling by state feedback for nonlinear impulsive systems. The dynamical systems addressed exhibit a hybrid behavior characterized by a nonlinear continuous-time state evolution interrupted by abrupt discontinuities at isolated time instants. The problem considered consists in finding a state feedback such that the system output is rendered totally insensitive to the disturbance. Both the case of static state feedback and that of dynamic state feedback are considered. A necessary and sufficient condition for the existence of a static state feedback that solves the problem in the multivariable case is proven by defining suitable tools in the context of the differential geometric approach. The situation concerning solvability by a dynamic state feedback is examined in the framework of the differntial algeraic approach. A necessary and sufficient solvaility condition is conjectured and discussed
Niadenie nelinearnych systemov: Algebricky pristup
No full texttraduzione in slovacco del volume:
Nonlinear Control Systems, An algebraic setting, G. Conte, C.H. Moog and A.M. Perdon, Springer Lecture Notes in Control and Information Science, Springer vol. 242, (March 1999) ISBN 1-85233-151-
- …
