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This paper presents a switched stabilization method of discrete interval type-2 fuzzy systems via sum-of-squares (SOS). Based on polynomial Lyapunov functions, we derive stabilization conditions to design stable polynomial interval type-2 fuzzy switched controllers. The stabilization conditions are represented in terms of SOS, and the controllers are numerically (partially symbolically) solved via...
In this paper we propose an effective method to design a Single-Input Single-Output (SISO) Unnormalized Interval Type-2 Takagi-Sugeno-Kang (TSK) Fuzzy Logic System (UIT2FLS) for noisy regression problems based on multi-source knowledge which includes here the information from sample data and the prior knowledge of bounded range, symmetry and monotonicity. The sufficient conditions are given which...
This paper applies prior knowledge - monotonicity and convexity - to a Single-Input-Single-Output (SISO) un-normalized interval type-2 Takagi-Sugeno-Kang (TSK) Fuzzy Logic System (FLS). Sufficient conditions are provided to guarantee its monotonicity and convexity with respect to its input, respectively. The derived monotonic conditions focus on a zeroth-order TSK fuzzy model. Also, the corresponding...
This paper mainly concerns the intelligent control of a four-rope-driven level-adjustment device with constrained outputs. In the paper, an intelligent controller based on fuzzy systems is designed for the device to adjust eccentric payloads to level and keep the rope's tension balanced. The controller is composed of two sub-controllers, each of which deals with various situations by choosing different...
An adaptive sliding mode fuzzy control approach is proposed for a two-dimensional overhead crane. System linearization transforms the two-dimensional system to two independent systems: X-direction transport system and Y-direction transport system. Both the two systems are with the same dynamic model and both include two subsystems: positioning subsystem and anti-swing subsystem. A sliding mode fuzzy...
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