๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

control for fast sampling discrete-time singularly perturbed systems

โœ Scribed by Jiuxiang Dong; Guang-Hong Yang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
475 KB
Volume
44
Category
Article
ISSN
0005-1098

No coin nor oath required. For personal study only.

โœฆ Synopsis

This paper is concerned with the H โˆž control problem via state feedback for fast sampling discrete-time singularly perturbed systems. A new H โˆž controller design method is given in terms of solutions to linear matrix inequalities (LMIs), which eliminates the regularity restrictions attached to the Riccati-based solution. A method for evaluating the upper bound of singular perturbation parameter with meeting a prescribed H โˆž performance bound requirement is also given. Furthermore, the results are extended to robust controller design for fast sampling discrete-time singularly perturbed systems with polytopic uncertainties. Numerical examples are given to illustrate the validity of the proposed methods.

๐Ÿ“œ SIMILAR VOLUMES

Finite-time disturbance attenuation cont
Finite-time disturbance attenuation control problem for singularly perturbed discrete-time systems
โœ Mohamed A. Abdelrahman; D. Subbaram Naidu; Charalambos Charalambous; Kevin L. Mo ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 98 KB ๐Ÿ‘ 2 views

In this paper, we consider the problem of finite-time H -optimal control of linear, singularly perturbed, discrete-time systems. The problem is addressed from the game theoretic approach. This leads to a singularly perturbed, matrix Riccati difference equation, the solution of which is given in term

State estimation of stochastic singularl
State estimation of stochastic singularly perturbed discrete-time systems
โœ Hisashi Kando ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 360 KB ๐Ÿ‘ 1 views

Studies on discrete-time system analysis and design via singular perturbations and time-scale methods have been developed in recent years. Representative issues and results of modelling, analysis and control have been reviewed by Naidu et al. These studies can be classified into the slow-time-scale

Stabilization of singularly perturbed la
Stabilization of singularly perturbed largescale interconnected discrete-time systems
โœ Chun-Liang Lin ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 752 KB

The stabilization problem for singularly perturbed, large-scale interconnected, discrete-time systems is considered. A simple extension of the small gain theorem is applied to find suficient conditions which ensure the overall system stability in the presence of interconnected,f&t perturbations.

Averaging of three time scale singularly
Averaging of three time scale singularly perturbed control systems
โœ Vladimir Gaitsgory; Minh-Tuan Nguyen ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 145 KB

We investigate the asymptotic properties of singularly perturbed control systems with three time scales. We apply the averaging method to construct a limiting system for the slowest motion in the form of a di erential inclusion. Su cient conditions for the uniform convergence of the slowest trajecto

Composite control of discrete singularly
Composite control of discrete singularly perturbed systems with stochastic jump parameters
โœ X. Shen; V.-G. Gourishankar; Q. Xia; M. Rao ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 543 KB

In this paper, a singular perturbation approach is presented to study discrete systems with stochastic jump parameters. The feedback controller design is decomposed into the design of slow and fast controllers which are combined to form the composite control. The multirate control structure allows t