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This paper concerns the problem of dynamic output-feedback control for a class of nonlinear systems with nonuniform uncertain sampling via Takagi-Sugeno (T-S) fuzzy control approach. The sampling is not required to be periodic, and the state variables are not required to be measurable. A new type fuzzy dynamic output-feedback sampled-data controller is constructed, and a novel time-dependent Lyapunov-Krasovskii functional is chosen for fuzzy systems under variable sampling. By using Lyapunov stability theory, a sufficient condition for very-strict passive analysis of fuzzy systems with nonuniform uncertain sampling is derived. Based on this condition, a novel fuzzy dynamic output-feedback controller is designed such that the closed-loop system is very-strictly passive. The existence condition of the controller can be solved by convex optimization approach. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.

The fuzzy logic control [

On the other hand, it is significant to study the sampled-data control problems for practical control systems [

In this paper, a new type of dynamic output-feedback control is designed for a class of nonlinear systems with variable sampling. Firstly, by choosing a novel time-dependent Lyapunov-Krasovskii functional and using Lyapunov stability theory, a sufficient condition is presented for very-strict passive analysis for fuzzy systems with nonuniform uncertain sampling. Based on the conception of very-strict passivity, a new sampled-data dynamic output-feedback controller is designed to guarantee that the closed-loop system is very strictly passive. The existence condition of the controller can be solved by convex optimization approach. Finally, a numerical example is given to show the effectiveness of the proposed results. The main contributions of this paper can be summarized as follows: (i) a new dynamic output-feedback sampled-data controller is constructed for T-S fuzzy system with variable sampling; (ii) a novel time-dependent and fuzzy membership dependent Lyapunov-Krasovskii functional is chosen for synthesizing output-feedback sampled-data controller for T-S fuzzy system. The remainder of the paper is organized as follows. The problem to be addressed is formulated in Section

Consider the following T-S fuzzy systems.

Here

Applying the fuzzy controller (

In order to develop the main results, the definition is introduced as follows.

System (

In this section, a novel dynamic output-feedback sampled-data controller for system in (

Consider the closed-loop system (

Consider the following Lyapunov-Krasovskii functional:

For the last term in

In addition, the following inequality holds:

It is straight forward to obtain the following results:

By using Schur complement to LMI conditions (

In the following part of this section, the control gain matrices

Consider the closed-loop system (

By the Schur complement, it can be seen that (

It follows that

For (

In this section, a numerical example is given to show the effectiveness of the proposed results. We consider the follow fuzzy system.

For

In this paper, the problem of dynamic output-feedback control has been investigated for a class of nonlinear systems via T-S fuzzy control approach. By using Lyapunov stability theory, a sufficient condition for very-strict passive performance analysis for fuzzy systems with nonuniform uncertain sampling has been derived. Based on the condition, a novel fuzzy dynamic output-feedback controller has been designed such that the closed-loop system is very-strictly passive. The existence condition of the controller has been solved by convex optimization approach. Finally, a numerical example has been provided to demonstrate the effectiveness of the proposed method. In future work, the fault-tolerant control problems [

The authors declare that there is no conflict of interests regarding the publication of this paper.

This work was partially supported by the National Natural Science Foundation of China (61203002, 61304003, and 61304054), the Program for New Century Excellent Talents in University, the Program for Liaoning Innovative Research Team in University (LT2013023), and the Program for Liaoning Excellent Talents in University (LR2013053).

_{∞}control of Takagi-Sugeno fuzzy systems with state and input time delays

_{∞}control for uncertain discrete-time-delay fuzzy systems via output feedback controllers

_{2}-

_{∞}control of nonlinear fuzzy itô stochastic delay systems via dynamic output feedback

_{∞}design of general multirate sampled-data control systems

_{∞}filtering of sampled-data systems

_{∞}output feedback control of nonlinear systems under sampled measurements