Robust D-stability via discrete controllers for continuous-time uncertain systems with multiple delays.

2020 ◽  
Author(s):  
Marco A. C. Leandro ◽  
Karl H. Kienitz
Keyword(s):  
Time Delay ◽  
Continuous Time ◽  
Closed Loop ◽  
Delay System ◽  
System Stability ◽  
Stable Region ◽  
Control Synthesis ◽  
Space Representation ◽  
Linear Matrix ◽  
Multiple Delays

This work addresses the allocation of closed-loop poles of a discretized system from a continuous-time one with multiple input delays, aiming at its control through a computer. In order to handle a practical challenge presented in Network Control System (NCS) approaches, uncertain sampling period, distinct input time delays and parametric uncertainties in polytopic form can be propagated from the original state space representation to the discretized state model. The resulting discrete-time time-delay system has a very specific feature, so that it can be converted into an augmented linear system without time-delay. In this context, the main contribution of the present paper consists of a Linear Matrix Inequality (LMI) based control synthesis condition composed of homogeneous polynomial matrices of arbitrary degree, which ensures the continuous-time system stability and simultaneously the allocation of the closed-loop poles of the augmented system in a D-stable region. Numerical simulations illustrate the exposed.

scholarly journals Robust LFC Strategy for Wind Integrated Time-Delay Power System Using EID Compensation

Energies ◽  
2019 ◽  
Vol 12 (17) ◽  
pp. 3223 ◽  
Author(s):  
Liu ◽  
Zhang ◽  
Zou
Keyword(s):  
Time Delay ◽  
Power System ◽  
Closed Loop ◽  
Frequency Control ◽  
Loop System ◽  
Load Frequency Control ◽  
System Stability ◽  
Linear Matrix ◽  
Closed Loop System ◽  
The Stability

This paper presents an active disturbance rejection control (ADRC) technique for load frequency control of a wind integrated power system when communication delays are considered. To improve the stability of frequency control, equivalent input disturbances (EID) compensation is used to eliminate the influence of the load variation. In wind integrated power systems, two area controllers are designed to guarantee the stability of the overall closed-loop system. First, a simplified frequency response model of the wind integrated time-delay power system was established. Then the state-space model of the closed-loop system was built by employing state observers. The system stability conditions and controller parameters can be solved by some linear matrix inequalities (LMIs) forms. Finally, the case studies were tested using MATLAB/SIMULINK software and the simulation results show its robustness and effectiveness to maintain power-system stability.

Closed-Loop Input Shaping for Flexible Structures Using Time-Delay Control1

1999 ◽  
Vol 122 (3) ◽  
pp. 454-460 ◽  
Author(s):  
Vikram Kapila ◽  
Anthony Tzes ◽  
Qiguo Yan
Keyword(s):  
Time Delay ◽  
Closed Loop ◽  
Flexible Structures ◽  
System Stability ◽  
Structural Vibration ◽  
Delay Systems ◽  
Linear Matrix ◽  
Input Shaping ◽  
Closed Loop Control ◽  
Loop Control

Input shaping techniques reduce the residual vibration in flexible structures by convolving the command input with a sequence of impulses. The exact cancellation of the residual structural vibration via input shaping is dependent on the amplitudes and instances of impulse application. A majority of the current input shaping schemes are inherently open-loop where impulse application at inaccurate instances can lead to system performance degradation. In this paper, we develop a closed-loop control design framework for input shaped systems. This framework is based on the realization that the dynamics of input shaped systems give rise to time delays in the input. Thus, we exploit the feedback control theory of time delay systems for the closed-loop control of input shaped flexible structures. A Riccati equation-based and a linear matrix inequality-based frameworks are developed for the stabilization of systems with uncertain, multiple input delays. Next, the aforementioned framework is applied to two input shaped flexible structure systems. This framework guarantees closed-loop system stability and performance when the impulse train is applied at inaccurate instances. Two illustrative numerical examples demonstrate the efficacy of the proposed closed-loop input shaping controller. [S0022-0434(00)00103-9]

scholarly journals Observer-based robust H∞, control for uncertain time-delay systems

2003 ◽  
Vol 44 (4) ◽  
pp. 625-634 ◽  
Author(s):  
Xinping Guan ◽  
Yichang Liu ◽  
Cailian Chen ◽  
Peng Shi
Keyword(s):  
Time Delay ◽  
Uncertain System ◽  
Delay System ◽  
Disturbance Attenuation ◽  
Delay Systems ◽  
Linear Matrix ◽  
Multiple Delays ◽  
Parameter Uncertainties ◽  
Time Delay System ◽  
Uncertain Time

AbstractIn this paper, we present a method for the construction of a robust observer-based H∞ controller for an uncertain time-delay system. Cases of both single and multiple delays are considered. The parameter uncertainties are time-varying and norm-bounded. Observer and controller are designed to be such that the uncertain system is stable and a disturbance attenuation is guaranteed, regardless of the uncertainties. It has been shown that the above problem can be solved in terms of two linear matrix inequalities (LMIs). Finally, an illustrative example is given to show the effectiveness of the proposed techniques.

SYNCHRONIZING CONTINUOUS TIME CHAOTIC SYSTEMS OVER NONDETERMINISTIC NETWORKS WITH PACKET DROPOUTS

2012 ◽  
Vol 22 (12) ◽  
pp. 1250300 ◽  
Author(s):  
FERNANDO O. SOUZA ◽  
REINALDO M. PALHARES ◽  
EDUARDO M. A. M. MENDES ◽  
LEONARDO A. B. TORRES
Keyword(s):  
Continuous Time ◽  
Chaotic Systems ◽  
Random Fluctuation ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Delayed Systems ◽  
Packet Dropouts ◽  
Time Varying Delay ◽  
Stability And Stabilization ◽  
Varying Delay

The problem of control synthesis for master–slave synchronization of continuous time chaotic systems of Lur'e type using sampled feedback control subject to sampling time random fluctuation and data packet dropouts is investigated. New stability and stabilization conditions are proposed based on Linear Matrix Inequalities (LMIs). The idea is to connect two very efficient approaches to deal with delayed systems: the discretized Lyapunov functional for systems with pointwise delay and the convex analysis for systems with time-varying delay. Simulation examples based on synchronizing coupled Chua's circuits are used to illustrate the effectiveness of the proposed methodology.

Robust Reliable Control for a Class of Uncertain Time-Delay Switched Fuzzy Systems Based on Observers Switching

2012 ◽  
Vol 190-191 ◽  
pp. 1175-1178
Author(s):  
Le Zhang ◽  
Hong Yang ◽  
Xiao Dong Liu
Keyword(s):  
Time Delay ◽  
Fuzzy Systems ◽  
Closed Loop ◽  
Original System ◽  
System Stability ◽  
Reliable Control ◽  
Closed Loop System ◽  
Residual Part ◽  
Robust Reliable Control ◽  
Uncertain Time

It is presented a model of uncertain time-delay switched fuzzy systems, which each subsystem of switched system is an uncertain time-delay fuzzy system. The robust reliable control problem is studied by multi-Lyapunov functions. When the actuators are serious failure – the residual part of actuators can not make original system stability, using switching technique depend on the states of observers, robust fuzzy reliable controller is built to ensure the relevant closed-loop system is asymptotic stability. The results for example are used to illustrate the feasibility and the effectiveness of the method.

Continuous time self-tuning control of time delay system

2001 ◽  
Vol 34 (25) ◽  
pp. 257-262
Author(s):  
W.L. Lo ◽  
A.B. Rad ◽  
C.K. Li
Keyword(s):  
Time Delay ◽  
Continuous Time ◽  
Delay System ◽  
Time Delay System ◽  
Self Tuning

A Linear Matrix Inequality Solution to the Input Covariance Constraint Control Problem

2013 ◽  
Author(s):  
Andrew White ◽  
Guoming Zhu ◽  
Jongeun Choi
Keyword(s):  
Linear Matrix Inequality ◽  
Control Problem ◽  
Continuous Time ◽  
Covariance Matrices ◽  
Control Synthesis ◽  
Linear Matrix ◽  
Multiple Constraints ◽  
Matrix Inequality ◽  
Output Performance

In this paper, the input covariance constraint (ICC) control problem is solved by a convex optimization with linear matrix inequality (LMI) constraints. The ICC control problem is an optimal control problem that is concerned with finding the best output performance possible subject to multiple constraints on the input covariance matrices. The contribution of this paper is the characterization of the control synthesis LMIs used to solve the ICC control problem. To demonstrate the effectiveness of the proposed approach a numerical example is solved with the control synthesis LMIs. Both discrete and continuous-time problems are considered.

Sign in / Sign up

Export Citation Format

Share Document