Covariance control with observed-state feedback gains for continuous nonlinear systems using T-S fuzzy models

The design problem of state variance constrained control for stochastic systems has received rather extensive attention in recent years. This paper solves the state variance constrained controller design problem by using the covariance control theory with observed-state feedback gains for continuous...

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Bibliographic Details
Published in:ISA transactions 2004-07, Vol.43 (3), p.389-398
Main Authors: Chang, Wen-Jer, Yeh, Yi-Lin, Tsai, Kuo-Hui
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Continuous Takagi-Sugeno fuzzy models
Control theory. Systems
Exact sciences and technology
General equipment and techniques
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Observed-state feedback gains
Parallel distributed compensation and covariance control
Physics
Servo and control equipment
robots
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Summary:The design problem of state variance constrained control for stochastic systems has received rather extensive attention in recent years. This paper solves the state variance constrained controller design problem by using the covariance control theory with observed-state feedback gains for continuous Takagi-Sugeno (TS) fuzzy models. By incorporating the technique of state estimation into the practical covariance control theory, a variance constrained control methodology is developed for the continuous TS fuzzy models. Finally, a numerical example is shown to demonstrate the efficiency and applicability of the proposed approach.
ISSN:0019-0578
1879-2022
DOI:10.1016/S0019-0578(07)60156-6