5138074
Design fuzzy controllers for complex systems with an application to 3-stage inverted pendulums
Abstract In this paper, we propose an experience-based decoupling method for designing fuzzy logic controllers. Knowledge about the system is utilized partially by fuzzy rules and partially by the decoupling structure. By introducing a decoupling method, we are able to reduce the number of rules; by introducing some mediate (state) variables, we are able to use the same set of fuzzy rules for three-stage inverted pendulum and one-stage inverted pendulum.
121557078
Pad-analysis of fuzzy control stability
Abstract By means of an index-represented rule mapping, the response g of a fuzzy controller is decomposed into two parts: f , the classical component and g − f , the nonlinear component, called pad. We intend to analyse the pad in order to know what the relation is between fuzzy and classical PID controllers. Fuzzy controllers mentioned here are defuzzified by the typical center of gravity method. In the 1-input case, we get that f − g = 0, which means that the fuzzy controller is exactly the same as the classical P-controller, whenever the rule mapping is simple (Definition 1.2) and the linguistic values are a binary family (Definition 4.1). In the 2-input case of error and error change for simple rule mapping and for simple linguistic values family (4.7), and perfectly for the WXYZ linguistic values family (Definition 6.1), the fuzzy controller can be viewed as a series connection of a classical PD controller and a 1 + pad-element. The describing function of a 1 + pad-element is very simple and fine, and ensures that such fuzzy controller will be stable if the PD controller is. The similar consequences are also obtained for the case of three inputs.
14760977
A nanosensor array-based VLSI gas discriminator
Chemiresistive nanowires can be organized as cross-reactive sensor arrays to mimic the human olfactory system in terms of sensing and discriminating various gases and odors. This paper presents a single chip gas discrimination system that integrates a cross-reactive array of chemiresistive nanosensors with an underlying VLSI pattern classifier to accurately and efficiently identify the gas/odor to which the system is exposed. The main focus of the work is on the design of the underlying VLSI pattern classifier and its interaction with the nanosensors.
9323568
Robust relative pose estimation with integrated cheirality constraint
The cheirality constraint, which requires that reconstructed point correspondences lie in front of the cameras, has not typically been integrated into traditional RANSAC-based pose estimators. We have developed a new RANSAC-based relative pose estimator which incorporates the cheirality constraint not only to preempt invalid epipolar geometry hypotheses, but also as a criterion in identifying inliers for image feature correspondences. Because the application of the cheirality constraint is tightly related to the estimation of epipolar geometry, integrating them inside RANSAC can prevent inliers being falsely identified as cheirality outliers. The result is a more consistent and stable estimation which leaves denser feature correspondences for subsequent processing. Experimental comparison between the usual RANSAC-based approach and the proposed approach is performed.
20174343
An operator splitting method for variational inequalities with partially unknown mappings
In this paper, we propose a new operator splitting method for solving a class of variational inequality problems in which part of the underlying mappings are unknown. This class of problems arises frequently from engineering, economics and transportation equilibrium problems. At each iteration, by using the information observed from the system, the method solves a system of nonlinear equations, which is well-defined. Under mild assumptions, the global convergence of the method is proved, and its efficiency is demonstrated with numerical examples.
11714898
On the number of limit cycles of a cubic polynomials Hamiltonian system under quintic perturbation
Abstract This paper is concerned with the number and distribution of limit cycles of a cubic Hamiltonian system under quintic perturbation. By using the bifurcation theory and the method of detection function, we obtain that this system exists at least 14 limit cycles with the distribution C 9 1 ⊃ [ C 1 1 + 2 ( C 3 2 ⊃ 2 C 1 2 ) ] . These results in the paper are useful for the study of the weakened Hilbert’s 16th problem.
13125864
Bifurcations of limit cycles for a perturbed quintic Hamiltonian system with four infinite singular points
By using the theory of bifurcations of dynamical systems and the method of detection function to investigate the bifurcation of limit cycles of a perturbed quintic Hamiltonian system with 25 finite singular points and four infinite singular points. From the detection functions for the perturbed system, we prove that under different determined parameter condition, the given system has at least 22 and 20 limit cycles and the configurations of compound eyes are also obtained.