Abstract
In this paper, robust fuzzy model predictive control of a class of nonlinear discrete systems subjected to time delays and persistent disturbances is investigated. Based on the modeling method of delay difference inclusions, nonlinear discrete time-delay systems can be represented by T–S fuzzy systems comprised of piecewise linear delay difference equations. Moreover, Lyapunov–Razumikhin function (LRF), instead of Lyapunov–Krasovskii functional (LKF), is employed for time-delay systems due to its ability to reflect system original state space and its advantages in controller synthesis and computation. The robust positive invariance and input-to-state stability with respect to disturbance under such circumstances are investigated. A robust constraint set is adopted that the system state is converged to this set round the desired point. In addition, the controller synthesis conditions are derived by solving a set of matrix inequalities. Simulation results show that the proposed approach can be successfully applied to the well-known continuous stirred tank reactor (CSTR) systems subjected to time delay.
Original language | English |
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Pages (from-to) | 70-79 |
Number of pages | 10 |
Journal | Journal of Process Control |
Volume | 53 |
DOIs | |
Publication status | Published - May 2017 |
Externally published | Yes |
Keywords
- Input-to-state stability
- Lyapunov–Razumikhin
- Model predictive control
- Time delay
- T–S fuzzy systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Modelling and Simulation
- Computer Science Applications
- Industrial and Manufacturing Engineering