Title |
Design of Lyapunov Theory based State Feedback Controller for Time-Delay Systems |
Authors |
조현철(Cho, Hyun Cheol) ; 신찬배(Shin, Chan Bai) |
DOI |
https://doi.org/10.5370/KIEE.2012.62.1.095 |
Keywords |
Networked control systems ; State feedback control ; Lyapunov theory ; Steepest descent optimization |
Abstract |
This paper presents a new state feedback control approach for communication networks based control systems in which control input and output observation time-delay natures are generally occurred in practice. We first establish a generic state feedback control framework based on well-known linear system theory. A maximum time-delay value which allows critical stability of whole control system are defined to make a positive definite Lyapunov function which is mathematically composed of controlled system states. We analytically derive its control parameters by using a steepest descent optimization method in order to guarantee a stability condition through Lyapunov theory. Computer simulation is numerically carried out for demonstrating reliability of the proposed NCS algorithm and a comparative study is accomplished to prove its superiority for which the traditional control approach for NCS is made use of under same simulation scenarios. |