Abstract
In this study, design of a delay-dependent type moving horizon state-feedback control (MHHC) is considered for a class of linear discrete-time system subject to time-varying state delays, norm-bounded uncertainties, and disturbances with bounded energies. The closed-loop robust stability and robust performance problems are considered to overcome the instability and poor disturbance rejection performance due to the existence of parametric uncertainties and time-delay appeared in the system dynamics. Utilizing a discrete-time Lyapunov-Krasovskii functional, some delay-dependent linear matrix inequality (LMI) based conditions are provided. It is shown that if one can find a feasible solution set for these LMI conditions iteratively at each step of run-time, then we can construct a control law which guarantees the closed-loop asymptotic stability, maximum disturbance rejection performance, and closed-loop dissipativity in view of the actuator limitations. Two numerical examples with simulations on a nominal and uncertain discrete-time, time-delayed systems, are presented at the end, in order to demonstrate the efficiency of the proposed method.
Original language | English |
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Article number | 462983 |
Number of pages | 13 |
Journal | Mathematical Problems in Engineering |
Volume | 2014 |
DOIs | |
Publication status | Published - 27 Aug 2014 |
Keywords
- moving horizon state-feedback control
- MHHC
- Lyapunov-Krasovskii functional
- Linear matrix inequality
ASJC Scopus subject areas
- General Engineering