Abstract
This paper addresses the dynamic output feedback control problem for a class of discrete system with uncertainties and multiple time-delays. First, the system is decomposed into two subsystems based on the output matrix and input control matrix. Secondly, a dynamic compensator is employed for the first subsystem, and then, given the multiple uncertainties, the output feedback controller is designed based on the second subsystem and the dynamic compensator. Thirdly, by choosing the Lyapunov-Krasovskii function, it can be seen that the developed controller makes the closed-loop system convergent to an adjustable region, which can be rendered arbitrary small by adjusting design parameters. Compared with the previous researches, the proposed controller is not only smooth and memoryless, but also only dependent on the system output. Furthermore, with the given dynamic compensator, the controller design conditions are relaxed, while the approach is extended to the conventional nonlinear system. Finally, numerical example is given to illustrate the effectiveness of the theoretical results.
Highlights
Many practical systems are the large nonlinear systems and consist of time-delays in the real world, such as various engineering systems, digital communication systems, urban traffic networks, and economic systems
This paper addresses the dynamic output feedback control problem for a class of discrete system with uncertainties and multiple time-delays
It is well known that dynamic output feedback and static output feedback received lots of attention in various engineering systems
Summary
Many practical systems are the large nonlinear systems and consist of time-delays in the real world, such as various engineering systems, digital communication systems, urban traffic networks, and economic systems. Zhu et al [12] considered the adaptive output feedback control issue for an uncertain linear time-delay system. Qiu et al [14] considered the static output feedback H-∞ control issue for continuous time systems, and a new Lyapunov functions was proposed. Aiming at the output feedback control issues, in [19], the dynamic robust fault tolerant tracking controller was investigated to estimate the unknown inputs models and unmeasurable system state variables. By investigating the nonlinear robust control systems, Chae and Nguang [22] and Wei et al [23] proposed the robust H∞ dynamic output feedback control method for solving the tracking control problem. Based on the above contents, we consider the dynamic output feedback control issues for a nonlinear discrete multiple time-delays system and aim to construct the smooth and memoryless output feedback controller. Numerical simulations are performed to show the potential of the proposed strategy
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