NDLI: Discrete polynomial fuzzy systems control

Content Provider	IET Digital Library
Author	Chen, Ying Jen Tanaka, Motoyasu Tanaka, Kazuo Ohtake, Hiroshi Wang, Hua O.
Abstract	This study presents a sum-of-squares (SOS) approach to stable control and guaranteed cost control of discrete polynomial fuzzy systems. The SOS framework presented in this paper offers a new paradigm over the existing linear matrix inequality (LMI) approaches to discrete Takagi–Sugeno (T–S) fuzzy models. At first, this study, newly introduces a discrete polynomial fuzzy model that is more general and effective than the well-known discrete T–S fuzzy model. With considering the operating domain, stable control design conditions are then derived based on state-dependent Lyapunov functions that contain quadratic Lyapunov functions as a special case. Hence, the design approach discussed in this study could be more general than the LMI design approaches based on quadratic Lyapunov functions. Moreover, this study also discusses a guaranteed cost control design which is carried out by minimising the upper bound of a given performance function. All the design conditions derived in this study can be represented in terms of SOS and are symbolically and numerically solved via the SOSOPT and the SeDuMi, respectively. Finally, the ball-and-beam system is provided as an example to illustrate the utility of the proposed SOS-based design approach.
Starting Page	288
Ending Page	296
Page Count	9
ISSN	17518644
Volume Number	8
e-ISSN	17518652
Issue Number	Issue 4, Mar (2014)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/8/4
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2013.0645
Journal	IET Control Theory & Applications
Publisher Date	2014-02-06
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Ball-and-beam System Control System Analysis Control System Synthesis Cost Optimal Control Discrete Control System Discrete Polynomial Fuzzy System Control Discrete System Discrete Takagi-Sugeno Fuzzy Model Fuzzy Control Fuzzy System Guaranteed Cost Control Design Linear Algebra Linear Matrix Inequalities Linear Matrix Inequality Approach LMI Lyapunov Method Numerical Analysis Optimal Control Polynomial Quadratic Lyapunov Function SeDuMi SOS Framework SOSOPT Stability Stability in Control Theory Stable Control Design Condition State-dependent Lyapunov Function Sum-of-squares Approach Synthesis Method T-S Fuzzy Model
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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