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
Composite control of discrete singularly perturbed systems with stochastic jump parameters
โ Scribed by X. Shen; V.-G. Gourishankar; Q. Xia; M. Rao
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 543 KB
- Volume
- 331
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
โฆ Synopsis
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 the designer to accommodate multiple information rates and to implement required control computations. Conditions for complete separation of slow and fast regulator designs are given. It is shown that the composite feedback control is O(E) close to the optimal one, which yields an O(E*) approximation of optimal performance.
๐ SIMILAR VOLUMES
In this paper, we first study the problems of robust quadratic mean-square stability and stabilization for a class of uncertain discrete-time linear systems with both Markovian jumping parameters and Frobenius norm-bounded parametric uncertainities. Necessary and sufficient conditions for the above
New results on the invariance of certain properties of singularly perturbed systems under output feedback are used in the construction of "stabilizing" controllers for a class of uncertain singularly perturbed systems whose fast dynamics are unstable.
This paper considers the stochastic control of linearquadratic problems for singularly perturbed systems when the input noise is colored. A near optimal linear output feedback control is obtained by optimizing a slow subsystem only.