Computer-controlled systems (3rd ed.)
Computer-controlled systems (3rd ed.)
Fuzzy Control
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
State Feedback $H_\infty$ Control for a Class of Nonlinear Stochastic Systems
SIAM Journal on Control and Optimization
Robustness analysis and tuning of synthetic gene networks
Bioinformatics
Robust synthetic biology design
Bioinformatics
Robust H∞ filtering for nonlinear stochastic systems
IEEE Transactions on Signal Processing
H∞ controller design of fuzzy dynamic systems based on piecewise Lyapunov functions
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A Novel Stabilization Criterion for Large-Scale T–S Fuzzy Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Fuzzy Systems
Robustness design of nonlinear dynamic systems via fuzzy linear control
IEEE Transactions on Fuzzy Systems
Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
A multiple Lyapunov function approach to stabilization of fuzzy control systems
IEEE Transactions on Fuzzy Systems
A novel Takagi-Sugeno-based robust adaptive fuzzy sliding-mode controller
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Decentralized PDC for large-scale T-S fuzzy systems
IEEE Transactions on Fuzzy Systems
Composite Fuzzy Control of Nonlinear Singularly Perturbed Systems
IEEE Transactions on Fuzzy Systems
Robust Fuzzy Filter Design for a Class of Nonlinear Stochastic Systems
IEEE Transactions on Fuzzy Systems
T–S Fuzzy Bilinear Model and Fuzzy Controller Design for a Class of Nonlinear Systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
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At present, the development in the nascent field of synthetic gene networks is still difficult. Most newly created gene networks are nonfunctioning due to intrinsic parameter fluctuations, uncertain interactions with unknown molecules and external disturbances of intra and extracellular environments on the host cell. How to design a completely new gene network, that is to track some desired behaviors under these intrinsic and extrinsic disturbances on the host cell, is the most important topic in synthetic biology. In this study, the intrinsic parameter fluctuations, uncertain interactions with unknown molecules and environmental disturbances, are modeled into the nonlinear stochastic systems of synthetic gene networks in vivo. Four design specifications are introduced to guarantee the stochastic synthetic gene network, which can achieve robust optimal tracking of a desired reference model in spite of these intrinsic and extrinsic disturbances on the host cell. However, the robust optimal reference-tracking design problem of nonlinear synthetic gene networks is still hard to solve. In order to simplify the design procedure of the robust optimal non-linear stochastic-tracking design for synthetic gene networks, the Takagi-Sugeno (T-S) fuzzy method is introduced to solve the non-linear stochastic minimum-error-tracking design problem. Hence, the robust optimal reference-tracking design problem under four design specifications can be solved by the linear matrix inequality (LMI)-constrained optimization method using convex optimization techniques. Further, a simple design procedure is developed for synthetic gene networks to meet the four design specifications to achieve robust optimal reference tracking. Finally, an eigenvalue-shifted design method is also proposed as an expedient scheme to improve the stochastic optimal-tracking design method of synthetic gene oscillators.