Al~traet--ln this paper, by the Lyapunov stability criterion and the Riccati equation, we derive a new procedure for determining a linear control law to stabilize an uncertain system. The main features of this approach are that no precompensator is needed, the required feedback gains are small and t
A Riccati equation approach to the robust memoryless stabilization of discrete time-delay systems
β Scribed by Chien-Hua Lee; Tzuu-Hseng S. Li; Fan-Chu Kung
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 327 KB
- Volume
- 332
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
By applyin 9 a Riccati equation approach, this' paper presents a new memoryless .feedback controller Jor stabilizin 9 a class of discrete systems with an unknown state delay. By evaluatin9 the tolerable system uncertain ty bounds, the robustness c?f this memoryless feedback controller is also investioated.
π SIMILAR VOLUMES
## Abstract The robust feedback stabilization of a class of nonlinear discreteβtime systems with unknown constant stateβdelay and uncertain function of nonlinear perturbations is considered based on linear matrix inequality (LMI)βbased analysis and design procedures. In both cases of nominal and re
The stability problem of linear uncertain time-delay systems is considered using a quadratic Lyapunov functional. The kernel of the functional, which is a function of two variables, is chosen as piecewise linear. As a result, the stability condition can be written as a linear matrix inequality, whic