Lyapunov function based design of heuristic fuzzy logic controllers

Author name used in this publication: F. H. F. LeungAuthor name used in this publication: P. K. S. TamVersion of RecordPublishe

Lyapunov-function-based design of fuzzy logic controllers and its application on combining controllers

Version of RecordPublishe

Observer-based controller synthesis for model-based fuzzy systems via linear matrix inequalities

In this chapter, we extend some recent results regarding the stability of continuous-time and discrete-time Takagi-Sugeno (T-S) fuzzy systems to the case where the system’s states are not available for measurement. We introduce the notion of a fuzzy observer, and show that the separation of closed-loop observer/controller holds. In other words, we show that the observer and controller design problems can be formulated as two separate LMI feasibility problems. Finally, we present a numerical example to show the effectiveness of our approach and discuss some future research directions

Lyapunov based reference model of tension control in a continuous strip processing line with multi-motor drive

The article describes design and experimental verification of a new control structure with reference model for a multi-motor drive of a continuous technological line in which the motors are mutually mechanically coupled through processed material. Its principle consists in creating an additional information by introducing a new suitable state variable into the system. This helps to achieve a zero steady-state control deviation of the tension in the strip. Afterwards, the tension controller is designed to ensure asymptotic stability of the extended system by applying the second Lyapunov method. The realized experimental measurements performed on a continuous line laboratory model confirm the advantages and correctness of the proposed control structure: it is simple, stable, robust against changes of parameters, invariant to operating disturbances and ensures a high-quality dynamics of the controlled system prescribed by the reference model. To demonstrate effectiveness of the design, the performance of the controller was compared with properties of a standard Proportional Integral Derivative/Proportional Integral (PID/PI) controller designed in frequency domain