✦ LIBER ✦

Limits of nonlinear discrete-time control systems with fast subsystems

✍ Scribed by G. Grammel

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 111 KB
Volume: 36
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(98)00100-5

No coin nor oath required. For personal study only.

✦ Synopsis

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 measuring the ratio of the di erent step sizes. As a byproduct we get an exponential formula for the reachable set of nonlinear continuous time control systems with ÿnite control range.

📜 SIMILAR VOLUMES

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

Nonlinear discrete-time control of syste

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

✍ B. Hamzi; J.-P. Barbot; S. Monaco; D. Normand-Cyrot 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 147 KB

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.

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

Discrete-Time nonlinear control of proce

Discrete-Time nonlinear control of processes with actuator saturation

✍ John Grantz; Sairam Valluri; Masoud Soroush 📂 Article 📅 1998 🏛 American Institute of Chemical Engineers 🌐 English ⚖ 396 KB 👁 2 views

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