Proceedings ArticleDOI
Stable switching fuzzy control and its application to a hovercraft type vehicle
Kazuo Tanaka,M. Iwasaki,Hua O. Wang +2 more
- Vol. 2, pp 804-809
TLDR
Stable switching fuzzy control and its application to a hovercraft type vehicle (HTV) and the simulation results show the validity of the switching fuzzy model and controller design.Abstract:
This paper describes stable switching fuzzy control and its application to a hovercraft type vehicle (HTV). A switching fuzzy system is employed to represent the nonlinear dynamics of the HTV that is a typical nonholonomic system. A switching fuzzy controller is constructed by mirroring the structure of the switching fuzzy system. LMI stability conditions to design the switching fuzzy controller are presented. The design technique is applied to trajectory control of the HTV. The simulation results for the trajectory control show the validity of the switching fuzzy model and controller design.read more
Citations
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Control of underactuated mechanical systems
TL;DR: The tracking and stabilization problem are considered for a class of underactuated mechanical systems, which consists of second-order nonholonomic mechanical systems that can be transformed into a canonical form, called the second- order chained form, by a suitable coordinateand feedback transformation.
Journal ArticleDOI
Relaxed stability and stabilization conditions for a T--S fuzzy discrete system
Wen-June Wang,Chung-Hsun Sun +1 more
TL;DR: The state space is divided into several subregions and the local common matrix P"j for each subregion-j is found and the number of Lyapunov inequalities to be satisfied by the corresponding local common matrices becomes much fewer such that the stability condition of the fuzzy system is more relaxed.
Journal ArticleDOI
Guaranteed cost controller design for discrete-time switching fuzzy systems
Doo Jin Choi,PooGyeon Park +1 more
TL;DR: A discrete-time switching fuzzy system, which inherently contains the features of switched hybrid systems and Takagi-Sugeno (TS) fuzzy systems, and a new guaranteed cost state-feedback controllers minimizing an upper bound of state and input energy called LQ performance under all admissible grades of time-varying fuzzy weighting functions.
Journal ArticleDOI
Robust Switched Control Design for Nonlinear Systems Using Fuzzy Models
Wallysonn Alves de Souza,Marcelo C. M. Teixeira,Mira Peres Alves Santim,Rodrigo Cardim,Edvaldo Assunao +4 more
TL;DR: In this article, a new switched control design method for some classes of uncertain nonlinear plants described by Takagi-Sugeno fuzzy models was proposed, using a quadratic Lyapunov function to design the feedback controller gains based on linear matrix inequalities.
Journal ArticleDOI
On Switched Regulator Design of Uncertain Nonlinear Systems Using Takagi–Sugeno Fuzzy Models
TL;DR: The proposed methodology eliminates the need to find the membership function expressions to implement the control law, which is relevant in cases where the membership function depends on uncertain parameters.
References
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Journal ArticleDOI
Fuzzy identification of systems and its applications to modeling and control
T. Takagi,Michio Sugeno +1 more
TL;DR: A mathematical tool to build a fuzzy model of a system where fuzzy implications and reasoning are used is presented and two applications of the method to industrial processes are discussed: a water cleaning process and a converter in a steel-making process.
Journal ArticleDOI
An approach to fuzzy control of nonlinear systems: stability and design issues
TL;DR: The authors represent a nonlinear plant with a Takagi-Sugeno fuzzy model with a model-based fuzzy controller design utilizing the concept of the so-called "parallel distributed compensation" and presents a design methodology for stabilization of a class of nonlinear systems.
Journal ArticleDOI
Stability analysis and design of fuzzy control systems
Kazuo Tanaka,Michio Sugeno +1 more
TL;DR: The fuzzy block diagrams and the stability analysis are applied to the design problems of a model-based fuzzy controller and a new design technique of a fuzzy controller is proposed.
Journal ArticleDOI
Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs
TL;DR: New relaxed stability conditions and LMI- (linear matrix inequality) based designs for both continuous and discrete fuzzy control systems are applied to design problems of fuzzy regulators and fuzzy observers.
Journal ArticleDOI
Computation of piecewise quadratic Lyapunov functions for hybrid systems
Mikael Johansson,Anders Rantzer +1 more
TL;DR: The search for a piecewise quadratic Lyapunov function is formulated as a convex optimization problem in terms of linear matrix inequalities and the relation to frequency domain methods such as the circle and Popov criteria is explained.