Robust H1 Nonlinear Control via Fuzzy Static Output Feedback
نویسندگان
چکیده
|An optimization technique is proposed to represent a class of nonlinear systems by a Takagi-Sugeno uncertain fuzzy model. Then a robust H1 quadratic stabilization problem to the uncertain fuzzy systems via static output feedback is investigated. It is proved that existence of a set of solvable BMI su ces to guarantee the quadratic stabilization of an uncertain fuzzy system in an H1 sense. An LMI formulation is suggested to alleviate the di culties of BMI that are inherited from the stabilizability problems via static output feedback control. Both continuousand discrete-time systems are treated in a uni ed approach and connections to state feedback and dynamic output feedback are addressed.
منابع مشابه
A SVD approach to H∞ decentralized static output feedback fuzzy control design for nonlinear interconnected systems
This study introduces decentralized static output feedback fuzzy control design for nonlinear interconnected systems via T-S fuzzy models. In general, due to the interactions among subsystems, it is dif cult to design an decentralized output feedback controller for nonlinear interconnected systems. A singular value decomposition (SVD) method is proposed in this study to solve the decentralized ...
متن کاملRobust Static Output Feedback Fuzzy Control Design for Nonlinear Discrete-Time Systems with Persistent Bounded Disturbances
To date, nonlinear l∞ -gain static output feedback control problems have not been solved by the conventional control methods for nonlinear discrete-time systems with persistent bounded disturbances. This study introduces static output feedback fuzzy control scheme to deal with the nonlinear l∞ -gain control problem. The structure of static output feedback fuzzy control is simpler than that of d...
متن کاملStatic output feedback stabilization for nonlinear interval time-delay systems via fuzzy control approach
This paper addresses the problem of static output-feedback controller design for nonlinear interval time-delay systems based on the Takagi-Sugeno fuzzy model. Sufficient conditions to guarantee the robust stability for considered systems are derived in term of the matrix measures of the system matrices of the linear subsystems in the consequent parts of fuzzy rules. By using linear matrix inequ...
متن کاملPassivity-Based Stability Analysis and Robust Practical Stabilization of Nonlinear Affine Systems with Non-vanishing Perturbations
This paper presents some analyses about the robust practical stability of a class of nonlinear affine systems in the presence of non-vanishing perturbations based on the passivity concept. The given analyses confirm the robust passivity property of the perturbed nonlinear systems in a certain region. Moreover, robust control laws are designed to guarantee the practical stability of the perturbe...
متن کاملStability analysis and feedback control of T-S fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay
In this paper, a new T-S fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay, is presented to address the problems of stability analysis and feedback control. Fuzzy controller is designed based on the parallel distributed compensation (PDC), and with a new Lyapunov function, delay dependent asymptotic stability conditions of the closed-loop system are derived v...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003