Sampled-Data Control of Large-Scale Fuzzy Interconnected Systems

2017 ◽  
pp. 84-126
Keyword(s):  
Control Problem ◽  
Large Scale ◽  
Interconnected Systems ◽  
Sampled Data ◽  
Data Control ◽  
Sampled Data Control ◽  
Small Gain ◽  
Data Controller ◽  
Wirtinger’S Inequality

This chapter aims to study the sampled-data stabilization for large-scale fuzzy interconnected systems. We use two approaches to design the decentralized fuzzy sampled-data controller: Wirtinger's inequality and scaled small gain (SSG) theorem. Our aim is to derive the co-design consisting of the controller gains and sampled period in terms of a set of LMIs. Also, we consider the distributed sampled-data control problem, where the sampling periods among all subsystems may be different, and the actuator in each subsystem is time-driven. Finally, two simulation examples are provided to validate the advantage of the proposed methods.

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.

scholarly journals State-Feedback Sampled-Data Control Design for Nonlinear Systems via Passive Theory

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Chengming Yang ◽  
Qi Zhou ◽  
H. R. Karimi ◽  
Huanqing Wang
Keyword(s):  
Nonlinear Systems ◽  
Controller Design ◽  
Linear Matrix ◽  
Optimization Approach ◽  
Sampled Data ◽  
Control Approach ◽  
Synthesis Conditions ◽  
Data Control ◽  
Sampled Data Control ◽  
Data Controller

This paper investigates the problem of passive controller design for a class of nonlinear systems under variable sampling. The Takagi-Sugeno (T-S) fuzzy modeling method is utilized to represent the nonlinear systems. Attention is focused on the design of passive controller for the T-S fuzzy systems via sampled-data control approach. Under the concept of very-strict passivity, a novel time-dependent Lyapunov functional is constructed to develop passive analysis criteria and passive controller synthesis conditions. A new sampled-data controller is designed to guarantee that the resulting closed-loop system is very-strictly passive. These conditions are formulated in the form of linear matrix inequalities (LMIs), which can be solved by convex optimization approach. Finally, an application example is given to demonstrate the feasibility and effectiveness of the proposed results.

Event-Triggered Control of Large-Scale Fuzzy Interconnected Systems

2017 ◽  
pp. 127-175
Keyword(s):  
Control Problem ◽  
Design Problem ◽  
Fuzzy Systems ◽  
Large Scale ◽  
Interconnected Systems ◽  
Sampled Data ◽  
Network Delay ◽  
Transmission Delays ◽  
Control Scheme ◽  
Event Triggered

This chapter studies the event-triggered control problem for large-scale networked fuzzy systems with transmission delays and nonlinear interconnections. Our considered scheme is decentralized event-triggered control in the sense that each subsystem is able to make broadcast decisions by using its locally sampled data when a prescribed event is triggered. We propose two different approaches to solve the co-design problem consisting of the controller gains, sampled period, network delay, and event-triggered parameter in terms of a set of LMIs. Also, we consider a self-triggered control scheme in which the next triggered time is precomputed. Finally, two simulation examples are provided to validate the advantage of the proposed methods.

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