This paper investigates the problem of designing a robust state-feedback controller for a class of uncertain Markovian jump nonlinear systems that guarantees the L2-gain from an exogenous input to a regulated output is less than or equal to a prescribed value. First, we approximate this class of uncertain Markovian jump nonlinear systems by a class of uncertain Takagi-Sugeno fuzzy models with M...

This paper studies the H∞ control problem for a class of Takagi-Sugeno (T-S) fuzzy neutral systems with time-varying delays and actuator saturation, where the delay in neutral-type term includes a fast-varying case (i.e., the derivative of delay is more than 1), which is never considered in current literature for this systems. The new LMI-based delaydependent H∞ control results for this systems...

Takagi–Sugeno (T-S) fuzzy models are now often used to describe complex nonlinear systems in terms of fuzzy sets and fuzzy reasoning applied to a set of linear submodels. In this note, the T-S fuzzy model approach is exploited to establish stability criteria for a class of nonlinear stochastic systems with time delay. Sufficient conditions are derived in the format of linear matrix inequalities...

This paper develops methods for reducing the complexity and, thereby, improving the linguistic interpretability of Takagi-Sugeno fuzzy systems that are learned online in a data-driven, incremental way. In order to ensure the transparency of the evolving fuzzy system at any time, complexity reduction must be performed in an online mode as well. Our methods are evaluated on high-dimensional data ...

In this paper, the Takagi–Sugeno (T–S) fuzzy model is used to express dynamic systems, and an on-line identification algorithm for its parameters and structures is presented. A new multivariable fuzzy generalized predictive control approach is put forward based on the identified fuzzy model by means of Clark’s principle of single-variable generalized predictive control, some of whose performanc...

This paper is concerned with the problem of guaranteed cost controller design control for discrete-time Takagi-Sugeno (T-S) fuzzy systems, and new design methods are presented. By defining a fuzzy Lyapunov function, a new sufficient condition guaranteeing the performance of the T-S fuzzy systems is derived, which can be transferred into problem of minimizing the trace of a matrix. By introducin...

AbstructThis paper presents a gain scheduling based approach to the design of fuzzy controllers. We demonstrate that the Sugeno fuzzy controller is in fact a special case of gain scheduling where the feedback gains are adjusted (“scheduled”) via membership functions in fuzzy if-then rules. When the desired gains at various operating points are available, we can apply the ANFIS learning algorith...

Orthogonal function approach (OFA) and the hybrid Taguchi-genetic algorithm (HTGA) are used to solve quadratic finite-horizon optimal controller design problems in both a fuzzy parallel distributed compensation (PDC) controller and a non-PDC controller (linear state feedback controller) for Takagi–Sugeno (TS) fuzzy-model-based control systems for dynamic ship positioning systems (TS-DSPS). Base...

Abstract -In this paper, the problem of H∞ filtering design is studied for nonlinear sampled-data systems using the Takagi-Sugeno (T-S) fuzzy model approach. Traditionally, the sufficient conditions for the existence of such H∞ filter are characterized in terms of the solution of a differential Hamilton-Jacobi inequality with jumps, which is equivalent to solving the partial differential inequa...

Nonlinear time-delay systems appear in many engineering systems and system formulations such as transportation systems, networked control systems, telecommunication systems, chemical processing systems, and power systems. Hence, it is important to analyze and synthesize such time-delay systems. Considerable research on nonlinear time-delay systems has been made via fuzzy system approach in (2),...