Robust Guaranteed Cost Control of Uncertain Fuzzy Systems Under Sampled-Data Inputs

2009 ◽  
Vol 13 (2) ◽  
pp. 150-154
Author(s):  
Jun Yoneyama ◽  
Keyword(s):  
Fuzzy Systems ◽  
State Feedback ◽  
State Feedback Control ◽  
Delay Systems ◽  
Linear Matrix ◽  
Control Input ◽  
Sampled Data ◽  
Data Control ◽  
Guaranteed Cost ◽  
Sampled Data Control

A dynamical system is usually modeled as a continuous-time system, while the control input is applied at discrete instants. This is called a sampled-data control system. This paper is concerned with robust sampled-data control with guaranteed cost for uncertain fuzzy systems. The sampled-data control input is usually the zero-order hold and hence has a piecewise-continuous delay. Thus, an input delay system approach to robust sampled-data control is introduced. Sufficient robust guaranteed cost performance conditions for the closed-loop system with a sampled-data state feedback controller are given in terms of linear matrix inequalities(LMIs). Such robust conditions are derived via descriptor approach to fuzzy time-delay systems under the assumption that a sampling interval may vary but is not greater than some prescribed number. A design method of robust sampled-data guaranteed cost controller for uncertain fuzzy systems. Numerical examples are given to illustrate our sampled-data state feedback control.

scholarly journals Fuzzy H2 Guaranteed Cost Sampled-Data Control of Nonlinear Time-Varying Delay Systems

2016 ◽  
Vol 11 (5) ◽  
pp. 708
Author(s):  
Zifang Qu ◽  
Zhenbin Du
Keyword(s):  
Closed Loop ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Sampled Data ◽  
Time Varying Delay ◽  
Data Control ◽  
Guaranteed Cost ◽  
Sampled Data Control ◽  
Varying Delay

We present and study a delay-dependent fuzzy H2 guaranteed cost sampled-data control problem for nonlinear time-varying delay systems, which is formed by fuzzy Takagi-Sugeno (T-S) system and a sampled-data fuzzy controller connected in a closed loop. Applying the input delay approach and stability theorem of Lyapunov-Krasovskii functional with Leibniz-Newton formula, the H2 guaranteed cost control performance is achieved in the sense that the closed-loop system is asymptotically stable. A new sufficient condition for the existence of fuzzy sampled-data controller is given in terms of linear matrix inequalities (LMIs). Truck-trailer system is given to illustrate the effectiveness and feasibility of H2 guaranteed cost sampled-data control design.

Dissipativity-Based Reliable Sampled-Data Control With Nonlinear Actuator Faults

2016 ◽  
Vol 11 (6) ◽  
Author(s):  
Srimanta Santra ◽  
R. Sakthivel ◽  
B. Kaviarasan
Keyword(s):  
Sufficient Conditions ◽  
Control Design ◽  
Delay Systems ◽  
Linear Matrix ◽  
Optimization Approach ◽  
Actuator Faults ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control ◽  
Data Controller

In this paper, the problem of reliable sampled-data control design with strict dissipativity for a class of linear continuous-time-delay systems against nonlinear actuator faults is studied. The main objective of this paper is to design a reliable sampled-data controller to ensure a strictly dissipative performance for the closed-loop system. Based on the linear matrix inequality (LMI) optimization approach and Wirtinger-based integral inequality, a new set of sufficient conditions is established for reliable dissipativity analysis of the considered system by assuming the mixed actuator fault matrix to be known. Then, the proposed result is extended to unknown fault matrix case. Also, the reliable sampled-data controller with strict dissipativity is designed by solving a convex optimization problem which can be easily solved by using standard numerical algorithms. Finally, a numerical example based on liquid propellant rocket motor with a pressure feeding system model is presented to illustrate the effectiveness of the developed control design technique.

Stochastic Sampled-Data Control for H∞ Stabilization of Transport Reaction Systems

2015 ◽  
Vol 137 (8) ◽  
Author(s):  
R. Rakkiyappan ◽  
S. Dharani
Keyword(s):  
Lyapunov Functional ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Control Input ◽  
Sampled Data ◽  
Transport Reaction ◽  
Reaction Systems ◽  
Data Control ◽  
Sampled Data Control ◽  
Discontinuous Lyapunov Functional

This paper investigates the problem of stochastic sampled-data H∞ control for a class of parabolic systems governed by one-dimensional semilinear transport reaction systems with external disturbances. A sampled-data controller design is developed by introducing the time-varying delay in the control input signals. The m sampling periods are considered whose occurrence probabilities are known constants and satisfy Bernoulli distribution. Since discontinuous Lyapunov functional copes well with problems of sampled-data control systems, a discontinuous Lyapunov functional is constructed based on the extended Wirtinger’s inequality. With this new approach, sufficient conditions that guarantee the asymptotic mean-square stabilization of the considered systems and the L2-gain analysis are derived in terms of linear matrix inequalities (LMIs), which can be solved by any of the available software.

Exponentially Stable Sampled-Data Control for Uncertain Systems

2014 ◽  
Vol 981 ◽  
pp. 551-554
Author(s):  
Li Ying Fan
Keyword(s):  
Uncertain Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Control Input ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control ◽  
Exponentially Stable ◽  
Data Controller ◽  
Continuous Time System

In this paper, the problem of the exponentially stable sampled-data control was investigated for a class of uncertain systems. Based on the input delay approach, the system was modeled as a continuous-time system with the delayed control input. Attention was focused on the design of a state feedback sampled-data controller which guarantees the exponential stability of the closed-loop system for all admissible parametric uncertainties. Using linear matrix inequality (LMI) approach, sufficient conditions are obtained. Simulation example was given to demonstrate the effectiveness and correctness of the proposed method.

Sampled-data control for time-delay systems

2002 ◽  
Vol 339 (2) ◽  
pp. 231-238 ◽  
Author(s):  
Lisheng Hu ◽  
Yongyan Cao ◽  
Chuwang Cheng ◽  
Huihe Shao
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control
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