𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Robust adaptive control of uncertain discrete-time state-delay systems

✍ Scribed by Magdi S. Mahmoud; El-Kébir Boukas; Abdulla Ismail

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
352 KB
Volume
55
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

This paper focuses on the controller resilience and performance deterioration issues due to inaccuracies in controller implementation. It addresses the problem of resilient adaptive control problem for a class of discrete-time state-delay systems and norm-bounded uncertainties against controller gain variations. Adaptive control schemes are constructed for the case of known gain perturbation bounds and then extended to accommodate unknown norm-bounded perturbations. Necessary and sufficient conditions for delay-independent asymptotic stability are established. An expanded state-space system called the "Compact Form" is established to derive delay-dependent criteria for stability and adaptive stabilization schemes. All the developed results are conveniently expressed in linear matrix inequalities format. A detailed simulation result is presented to demonstrate the developed theory.

📜 SIMILAR VOLUMES

Robust adaptive control for uncertain ti
Robust adaptive control for uncertain time-delay systems
✍ Changchun Hua; Xinping Guan; Peng Shi 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 158 KB 👁 2 views

## Abstract The problem of robust stabilization for uncertain dynamic time‐delay systems is considered. Firstly a class of time‐delay systems with uncertainties bounded by high‐order polynomials and unknown coefficients are considered. The corresponding controller is designed by employing adaptive

Robust adaptive tracking control of unce
Robust adaptive tracking control of uncertain discrete time systems
✍ Shengping Li 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 325 KB 👁 2 views

In this paper, the problem of robust adaptive tracking for uncertain discrete-time systems is considered from the slowly varying systems point of view. The class of uncertain discrete-time systems considered is subjected to both ' 1 to ' 1 bounded unstructured uncertainty and external additive bound

Robust adaptive sliding mode control for
Robust adaptive sliding mode control for uncertain time-delay systems
✍ Yuanqing Xia; Jie Chen; Guo-Ping Liu; Lin Wang; David Rees 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 174 KB 👁 2 views

## Abstract This paper is devoted to robust adaptive sliding mode control for time‐delay systems with mismatched parametric uncertainties. Sufficient conditions for the existence of linear sliding surfaces are given in terms of linear matrix inequalities, by which the corresponding adaptive reachin

Delay-dependent robust control for uncer
Delay-dependent robust control for uncertain discrete-time singular systems with time-delays
✍ Shuping Ma; Chenghui Zhang; Zhaolin Cheng 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 288 KB

The robust memoryless state feedback H ∞ control problem for uncertain time-delay discrete-time singular systems is discussed. Under a series of equivalent transformation, the equivalence of this problem and the robust state feedback H ∞ control problem for standard state-space uncertain time-delay