Unfragile Passive Control of Uncertain Sampling System

2013 ◽  
Vol 325-326 ◽  
pp. 1170-1175
Author(s):  
Qing Zhi Liu
Keyword(s):  
Control Problem ◽  
Robust Stability ◽  
Passive Control ◽  
Lyapunov Method ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Sampling System ◽  
State Delay ◽  
Index Terms

The unfragile passive control problem of a class of uncertain state-delay sampling system is discussed. Applying Lyapunov method, and combining the properties of matrix inequality, the sufficient condition of robust stability is given, and the unfragile passive controller is designed. Finally a numerical example illustrates the effectiveness and the availability for the design.Index Terms - Uncertain State-delay Sampling System , Linear Matrix Inequility , Unfragile Passive Control .

Unfragile Guaranteed-Cost Control of Uncertain State-Delay Sampling System

2014 ◽  
Vol 513-517 ◽  
pp. 4261-4264
Author(s):  
Yu Ping Li ◽  
Chun Ping Ai ◽  
Xue Liang Wang
Keyword(s):  
Control Problem ◽  
Robust Stability ◽  
Cost Control ◽  
Lyapunov Method ◽  
Guaranteed Cost Control ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Sampling System ◽  
State Delay ◽  
Guaranteed Cost

The unfragile guaranteed-cost control problem of a class of uncertain state-delay sampled system is discussed. Applying Lyapunov method, and combining the properties of matrix inequality, the sufficient condition of robust stability is given, and the unfragile guaranteed-cost controller is designed. Finally a numerical example illustrates the effectiveness and the availability for the design.

Unfragile Control of Uncertain State-Delay Sampled-Data System

2012 ◽  
Vol 433-440 ◽  
pp. 7499-7504
Author(s):  
Xue Liang Wang
Keyword(s):  
Control Problem ◽  
Robust Stability ◽  
Lyapunov Method ◽  
Data System ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Sampled Data ◽  
State Delay ◽  
Numerical Example

The unfragile control problem of a class of uncertain state-delay sampled system is discussed. Applying Lyapunov method, and combining the properties of matrix inequality, the sufficient condition of robust stability is given, and the unfragile controller is designed. Finally a numerical example illustrates the effectiveness and the availability for the design.

Observer Design for Lipschitz Nonlinear Systems with Output Uncertainty

2014 ◽  
Vol 533 ◽  
pp. 277-280
Author(s):  
Wei Zou ◽  
Yu Sheng Liu ◽  
Kai Liu
Keyword(s):  
Nonlinear Systems ◽  
Asymptotic Stability ◽  
Lyapunov Method ◽  
Observer Design ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Output Uncertainty ◽  
Lipschitz Nonlinear Systems ◽  
Simulation Results

This paper presents an observer design for Lipschitz nonlinear systems with output uncertainty. By means of Lyapunov method as well as linear matrix inequality (LMI), the observer gain matrix is determined and a sufficient condition ensuring the asymptotic stability of the observer is proposed. Simulation results demonstrate the robustness of the proposed observer for output uncertainty.

Robust Nonfragile Decentralized Controller Design for Uncertain Large-Scale Interconnected Systems With Time-Delays

2002 ◽  
Vol 124 (2) ◽  
pp. 332-336 ◽  
Author(s):  
Ju H. Park
Keyword(s):  
Time Delays ◽  
Large Scale ◽  
Lyapunov Method ◽  
Controller Design ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Large Scale Systems ◽  
Controller Gain ◽  
Decentralized Controllers

This paper describes the synthesis of robust nonfragile decentralized controllers for uncertain large-scale systems with time-delays in the subsystem interconnections and controller gain variations. Based on the Lyapunov method, a sufficient condition for robust stability is derived in terms of a linear matrix inequality (LMI), and the measure of nonfragility in controller is presented.

scholarly journals LMI-Based Approach for Exponential Robust Stability of High-Order Hopfield Neural Networks with Time-Varying Delays

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Yangfan Wang ◽  
Linshan Wang
Keyword(s):  
Neural Networks ◽  
Linear Matrix Inequality ◽  
Robust Stability ◽  
High Order ◽  
Hopfield Neural Networks ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequality ◽  
Global Exponential Robust Stability

This paper studies the problems of global exponential robust stability of high-order hopfield neural networks with time-varying delays. By employing a new Lyapunov-Krasovskii functional and linear matrix inequality, some criteria of global exponential robust stability for the high-order neural networks are established, which are easily verifiable and have a wider adaptive.

scholarly journals Low Conservative Criteria for Robust Consensus of Multiagent Systems with Delays, Disturbances, and Topologies Uncertainties

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Qingjie Zhang ◽  
Zhongqing Jin ◽  
Qiang Li ◽  
Jianwu Tao ◽  
Qiongjian Fan ◽  
...  
Keyword(s):  
Multiagent Systems ◽  
Robust Stability ◽  
Linear Matrix ◽  
Multiple Time ◽  
Matrix Inequality ◽  
Space Transformation ◽  
Strongly Connected ◽  
Nonlinear Matrix Inequality ◽  
The Stability ◽  
Robust Consensus

Considering the limited communications conditions such as delays, disturbances, and topologies uncertainties, the stability criteria for robust consensus of multiagent systems are proposed in this paper. Firstly, by using the idea of state decomposition and space transformation, the condition for guaranteeing consensus is converted into verifying the robust stability of the disagreement system. In order to deal with multiple time-varying delays and switching topologies, jointly quadratic common Lyapunov-Krasovskii (JQCLK) functional is built to analyze the robust stability. Then, the numerical criterion can be obtained through solving the corresponding feasible nonlinear matrix inequality (NLMI); at last, nonlinear minimization is used like solving cone complementarity problem. Therefore, the linear matrix inequality (LMI) criterion is obtained, which can be solved by mathematical toolbox conveniently. In order to relax the conservativeness, free-weighting matrices (FWM) method is employed. Further, the conclusion is extended to the case of strongly connected topologies. Numerical examples and simulation results are given to demonstrate the effectiveness and the benefit on reducing conservativeness of the proposed criteria.

scholarly journals Analysis of Robust Stability for a Class of Stochastic Systems via Output Feedback: The LMI Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Xin-rong Cong ◽  
Long-suo Li
Keyword(s):  
Linear Matrix Inequality ◽  
Robust Stability ◽  
Output Feedback ◽  
Stochastic Systems ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Convex Optimization Problem ◽  
Control Laws ◽  
The Stability ◽  
And Control

This paper investigates the robust stability for a class of stochastic systems with both state and control inputs. The problem of the robust stability is solved via static output feedback, and we convert the problem to a constrained convex optimization problem involving linear matrix inequality (LMI). We show how the proposed linear matrix inequality framework can be used to select a quadratic Lyapunov function. The control laws can be produced by assuming the stability of the systems. We verify that all controllers can robustly stabilize the corresponding system. Further, the numerical simulation results verify the theoretical analysis results.

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