Optimal guaranteed cost control of uncertain discrete time-delay systems
By Peng Shi, El Kebir Boukas, Yan Shi, Ramesh K. Agarwal. 2003
115 citations recorded by the source corpus.
This paper considers the problem of robust guaranteed cost control of linear discrete time-delay systems with parametric uncertainties. By matrix inequality approach, the robust quadratic stability of the system is studied. A control design method is developed such that the closed-loop system with a cost function has a upper bound irrespective of all admissible parameter uncertainties and unknown time delays. Furthermore, the upper bound (cost) can be optimized by incorporating with a minimization problem. A numerical example is given to show the potential of the proposed techniques.
Subfields: Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/682f24e3af6e00b88c284fbf37bd3783a05070ca
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Control and Systems Engineering
Citations in the corpus
- Delay-dependent robust H∞ control for uncertain discrete-time singular systems with time-delays (2008, methodology): “Commonly, the approaches to solved time-delay systems can be classified into two types: delay-dependent conditions, which include information on the size of delays [8,9,11,14,15], and delay-independent conditions, which are applicable to delays of arbitrary size [10,13,17,18,22].”
- Robust H/sub /spl infin// filtering for stochastic time-delay systems with missing measurements (2006, methodology): “…efforts have been focused on the problem of filtering for various time-delay systems, and many approaches have been proposed, including the Riccati equation approach [17], [21], [27], the linear matrix inequality (LMI) approach [5]–[8], [11], [14], [28], and the polynomial equation approach [29].”