This paper investigates the fuzzy predictive control for a class of nonlinear system with constrains under the condition of noise. Based on the fuzzy linearization theory, a class of nonlinear systems can be described by the Takagi–Sugeno (T–S) fuzzy model. The T–S fuzzy model and predictive control are combined to stabilize the proposed class of nonlinear system, and the detailed mathematical derivation is given. Moreover, the designed controller has been optimized even if the system is constrained by output and control input, or perturbed by external disturbances. Finally, numerical simulations including three-dimensional Lorenz system, four-dimensional Chen system and five-dimensional nonlinear system with external disturbances are presented to demonstrate the universality and effectiveness of the proposed scheme. The approach proposed in this paper is simple and easy to implement and also provides reference for relevant nonlinear systems.
Skip Nav Destination
Article navigation
September 2015
Technical Briefs
Takagi–Sugeno Fuzzy Predictive Control for a Class of Nonlinear System With Constrains and Disturbances
Bin Wang,
Bin Wang
Department of Electrical Engineering,
Northwest Agriculture and Forestry University
,Yangling IN 712100
, China
Search for other works by this author on:
Jianwei Zhang,
Jianwei Zhang
Department of Electrical Engineering,
Northwest Agriculture and Forestry University
,Yangling IN 712100
, China
Search for other works by this author on:
Delan Zhu,
Delan Zhu
Department of Electrical Engineering,
Northwest Agriculture and Forestry University
,Yangling IN 712100
, China
Search for other works by this author on:
Diyi Chen
Diyi Chen
1
Department of Electrical Engineering,
e-mail: diyichen@nwsuaf. edu.cn
Northwest Agriculture and Forestry University
,Yangling IN 712100
, China
e-mail: diyichen@nwsuaf. edu.cn
1Corresponding author.
Search for other works by this author on:
Bin Wang
Department of Electrical Engineering,
Northwest Agriculture and Forestry University
,Yangling IN 712100
, China
Jianwei Zhang
Department of Electrical Engineering,
Northwest Agriculture and Forestry University
,Yangling IN 712100
, China
Delan Zhu
Department of Electrical Engineering,
Northwest Agriculture and Forestry University
,Yangling IN 712100
, China
Diyi Chen
Department of Electrical Engineering,
e-mail: diyichen@nwsuaf. edu.cn
Northwest Agriculture and Forestry University
,Yangling IN 712100
, China
e-mail: diyichen@nwsuaf. edu.cn
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received October 1, 2014; final manuscript received January 30, 2015; published online April 16, 2015. Assoc. Editor: Hiroshi Yabuno.
J. Comput. Nonlinear Dynam. Sep 2015, 10(5): 054505 (8 pages)
Published Online: September 1, 2015
Article history
Received:
October 1, 2014
Revision Received:
January 30, 2015
Online:
April 16, 2015
Citation
Wang, B., Zhang, J., Zhu, D., and Chen, D. (September 1, 2015). "Takagi–Sugeno Fuzzy Predictive Control for a Class of Nonlinear System With Constrains and Disturbances." ASME. J. Comput. Nonlinear Dynam. September 2015; 10(5): 054505. https://doi.org/10.1115/1.4029783
Download citation file:
Get Email Alerts
Cited By
A numerical study for nonlinear time-space fractional reaction-diffusion model of fourth-order
J. Comput. Nonlinear Dynam
A Fast Chebyshev Collocation Method for Stability Analysis of a Robotic Machining System with Time Delay
J. Comput. Nonlinear Dynam
Characterization of Three-Mode Combination Internal Resonances in Electrostatically Actuated Flexible–Flexible Microbeams
J. Comput. Nonlinear Dynam (December 2024)
Investigation of nonlinear dynamic behaviors of vertical rotor system supported by aerostatic bearings
J. Comput. Nonlinear Dynam
Related Articles
Fuzzy Generalized Predictive Control for Nonlinear Brushless Direct
Current Motor
J. Comput. Nonlinear Dynam (July,2016)
Reliable Dissipative Sampled-Data Control for Uncertain Systems With Nonlinear Fault Input
J. Comput. Nonlinear Dynam (July,2016)
A Novel Global Sliding Mode Control Based on Exponential Reaching Law for a Class of Underactuated Systems With External Disturbances
J. Comput. Nonlinear Dynam (March,2016)
Hybrid Delayed Synchronizations of Complex Chaotic Systems in Modulus-Phase Spaces and Its Application
J. Comput. Nonlinear Dynam (July,2016)
Related Proceedings Papers
Related Chapters
Fault-Tolerant Control of Sensors and Actuators Applied to Wind Energy Systems
Electrical and Mechanical Fault Diagnosis in Wind Energy Conversion Systems
Nonlinear System Multi-Step Predictive Control Based Neural Network Model and Genetic Algorithm
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
Dynamic Simulations to Become Expert in Order to Set Fuzzy Rules in Real Systems
International Conference on Advanced Computer Theory and Engineering, 4th (ICACTE 2011)