𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonlinear discrete-time control of systems with a Naimark–Sacker bifurcation

✍ Scribed by B. Hamzi; J.-P. Barbot; S. Monaco; D. Normand-Cyrot

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
147 KB
Volume
44
Category
Article
ISSN
0167-6911

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we study the problem of the stabilization of nonlinear control system with one complex uncontrollable mode. We ÿnd normal forms and quadratic invariants; then we compute center manifolds, and use bifurcation theory to synthesize quadratic controllers.

📜 SIMILAR VOLUMES

Limits of nonlinear discrete-time contro
Limits of nonlinear discrete-time control systems with fast subsystems
✍ G. Grammel 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 111 KB

We investigate the asymptotic properties of nonlinear discrete-time control systems with fast subsystems. In particular, we use the averaging method in order to construct a limiting system for the slow subsystem. We show continuous dependence of the slow trajectories on the perturbation parameter me

On H∞-control of discrete-time nonlinear
On H∞-control of discrete-time nonlinear systems
✍ H. Guillard; S. Monaco; D. Normand-Cyrot 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 564 KB

Following recent works on continuous-time nonlinear H,-control, where connections with game theory and passivity conditions have k e n set, the present paper studies the corresponding problem for discretetime systems. The paper describes sufficient conditions for the existence and the construction o

Discrete time adaptive control of linear
Discrete time adaptive control of linear systems with preload nonlinearity
✍ Min-Chio Kung; Baxter F. Womack 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 243 KB

ln this note a method is presented for doing discrete time adaptive control of a nonlinear system which is given by a cascade connection ofa preload nonlinearity followed by a linear system. It is shown that the algorithm will ensure that the closed loop system is globally convergent with a specific

Suboptimal control and stability of nonl
Suboptimal control and stability of nonlinear discrete-time systems
✍ S Hennequin; R Bouyekhf 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 134 KB

In this paper suboptimality bounds and stability of nonlinear discrete-time in"nite-horizon controllers are investigated. The nominal plant is supposed to be controlled by means of a feedback control law which is optimal with respect to some given criterion. The use of the Taylor}Maclaurin formula a

Adaptive control of a class of discrete-
Adaptive control of a class of discrete-time affine nonlinear systems
✍ L.L. Xie; L. Guo 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 100 KB

The adaptive control problem is addressed in the paper for a class of discrete-time a ne nonlinear input=output stochastic models with linear unknown parameters. The controller is a certainty equivalence weighted one-step-ahead control and is constructed by using the weighted-least-squares and rando

Double Neimark–Sacker bifurcation and to
Double Neimark–Sacker bifurcation and torus bifurcation of a class of vibratory systems with symmetrical rigid stops
✍ G.W. Luo; Y.D. Chu; Y.L. Zhang; J.G. Zhang 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 830 KB

A multidegree-of-freedom system having symmetrically placed rigid stops and subjected to periodic excitation is considered. The system consists of linear components, but the maximum displacement of one of the masses is limited to a threshold value by the symmetrical rigid stops. Repeated impacts usu