Exponential stability analysis and impulsive tracking control of uncertain time-delayed systems
MetadataShow full item record
In this paper, we study exponential stability and tracking control problems for uncertain time-delayed systems. First, sufficient conditions of exponential stability for a class of uncertain time-delayed systems are established by employing Lyapunov functional methods and algebraic matrix inequality techniques. Furthermore, tracking control problems are investigated in which an uncertain linear time-delayed system is used to track the reference system. Sufficient conditions for solvability of tracking control problems are obtained for the cases that the system state is measurable and non-measurable, respectively. When the state is measurable, we design an impulsive control law to achieve the tracking performance. When the state information is not directly available from measurement, an impulsive control law based on the measured output will be used. Finally, numerical examples are presented to illustrate the effectiveness and usefulness of our results.
The final publication is available at Springer via http://doi.org/10.1007/s10898-011-9669-2
Showing items related by title, author, creator and subject.
Chai, Qinqin (2013)In this thesis, we develop new computational methods for three classes of dynamic optimization problems: (i) A parameter identification problem for a general nonlinear time-delay system; (ii) an optimal control problem ...
Xu, Honglei (2009)Switched systems belong to a special class of hybrid systems, which consist of a collection of subsystems described by continuous dynamics together with a switching rule that specifies the switching between the subsystems. ...
Robust optimization for nonlinear time-delay dynamical system of dha regulon with cost sensitivity constraint in batch cultureYuan, J.; Zhang, X.; Liu, Chongyang; Chang, L.; Xie, J.; Feng, E.; Yin, H.; Xiu, Z. (2016)Time-delay dynamical systems, which depend on both the current state of the system and the state at delayed times, have been an active area of research in many real-world applications. In this paper, we consider a nonlinear ...