scholarly journals Study of RobustH∞Filtering Application in Loosely Coupled INS/GPS System

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Lin Zhao ◽  
Haiyang Qiu ◽  
Yanming Feng
Keyword(s):  
Kalman Filter ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Lmi Approach ◽  
Model Case ◽  
Loosely Coupled ◽  
Filter Divergence ◽  
Gps System ◽  
The Relationship ◽  
Uncertain Dynamic System

Since a celebrate linear minimum mean square (MMS) Kalman filter in integration GPS/INS system cannot guarantee the robustness performance, aH∞filtering with respect to polytopic uncertainty is designed. The purpose of this paper is to give an illustration of this application and a contrast with traditional Kalman filter. A game theoryH∞filter is first reviewed; next we utilize linear matrix inequalities (LMI) approach to design the robustH∞filter. For the special INS/GPS model, unstable model case is considered. We give an explanation for Kalman filter divergence under uncertain dynamic system and simultaneously investigate the relationship betweenH∞filter and Kalman filter. A loosely coupled INS/GPS simulation system is given here to verify this application. Result shows that the robustH∞filter has a better performance when system suffers uncertainty; also it is more robust compared to the conventional Kalman filter.

Monotonic Convergence Analysis for 2-D Roesser Systems via a LMI Approach

2014 ◽  
Vol 575 ◽  
pp. 594-597
Author(s):  
Zhi Fu Li ◽  
Yue Ming Hu
Keyword(s):  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Dimensional System ◽  
Matrix Inequalities ◽  
Roesser Model ◽  
Lmi Approach ◽  
One Dimensional ◽  
Bibo Stability ◽  
Monotonic Convergence ◽  
Bounded Input

The monotonic convergence (MC) property of discrete two-dimensional (2-D) systems described by the Roesser model is studied. The MC problem of the 2-D system is firstly converted to two H∞ disturbance attenuation problems of the traditional one-dimensional system. Then, the sufficient condition is derived for the MC, which is given by two linear matrix inequalities (LMIs). Furthermore, it can be shown that either of the LMIs can also guarantee the Bounded-Input Bounded-Output (BIBO) stability of the 2-D system. Finally, a simulation example is given to show the effectiveness of the LMIs condition.

Mixed H2/H∞ Control for State-Delayed Linear Systems and a LMI Approach to the Solution of Coupled AREs

2003 ◽  
Vol 125 (2) ◽  
pp. 249-253 ◽  
Author(s):  
M. D. S. Aliyu
Keyword(s):  
Control Problem ◽  
Linear Systems ◽  
Linear Matrix Inequalities ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Riccati Equations ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Lmi Approach ◽  
Alternative Approach

In this paper, the state-feedback mixed H2/H∞ control problem for state-delayed linear systems is considered. Sufficient conditions for the solvability of this problem are given in terms of the solution to a pair of algebraic Riccati equations similar to the nondelayed case. However, these Riccati equations are more difficult to solve than those arising in the pure H2,H∞ problems, and an alternative approach is to solve a pair of linear matrix inequalities (LMIs).

scholarly journals LMI Approach to Stability Analysis of Cohen-Grossberg Neural Networks withp-Laplace Diffusion

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Xiongrui Wang ◽  
Ruofeng Rao ◽  
Shouming Zhong
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Lmi Approach ◽  
Exponentially Stable ◽  
New Criterion ◽  
Diffusion Simulation ◽  
And Diffusion ◽  
Laplace Diffusion

The nonlinearp-Laplace diffusion (p>1) was considered in the Cohen-Grossberg neural network (CGNN), and a new linear matrix inequalities (LMI) criterion is obtained, which ensures the equilibrium of CGNN is stochastically exponentially stable. Note that, ifp=2,p-Laplace diffusion is just the conventional Laplace diffusion in many previous literatures. And it is worth mentioning that even ifp=2, the new criterion improves some recent ones due to computational efficiency. In addition, the resulting criterion has advantages over some previous ones in that both the impulsive assumption and diffusion simulation are more natural than those of some recent literatures.

scholarly journals Delay-Dependent H∞ Control for T-S Fuzzy Systems with Local Nonlinear Models: An LMI Approach

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Zhile Xia
Keyword(s):  
Linear Matrix Inequalities ◽  
Nonlinear Models ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Switching Model ◽  
Delay Dependent ◽  
S Model ◽  
Takagi Sugeno ◽  
Time Systems ◽  
The Relationship

This paper studies the stabilization design scheme with H∞ performance for a large class of nonlinear discrete-time systems. The system under study is modeled by Takagi-Sugeno (T-S) model with local nonlinearity and state delay. First, the model is changed into an equivalent fuzzy switching model. And then, according to projection theorem and piecewise Lyapunov function (PLF), two new H∞ control methods are proposed for fuzzy switched systems, which consider the time delay information of the system. Finally, the relationship among all fuzzy subsystems is considered. Because the results are only expressed by a series of linear matrix inequalities (LMIs), the controller can be directly designed by the linear matrix inequalities toolbox of MATLAB.

A Multi-Regulator Linear Matrix Inequalities Approach for Aircraft Engine Limit Management

2019 ◽  
Vol 36 (4) ◽  
pp. 435-444 ◽  
Author(s):  
Jiakun Qin ◽  
Muxuan Pan ◽  
Jinquan Huang
Keyword(s):  
Linear Matrix Inequalities ◽  
Aircraft Engine ◽  
Linear Matrix ◽  
Aircraft Engines ◽  
Control Performance ◽  
Matrix Inequalities ◽  
Lmi Approach ◽  
Limit Values ◽  
Control Scheme ◽  
Is Design

Abstract A new control scheme is proposed for aircraft engines, where the object is to transfer a regulated output (called main output) between two set-points, with the additional requirement that a set of outputs (called auxiliary outputs) remains within prescribed ranges. According to the prior outcomes, no assurance exists to protect output limits in transient regime by use of a traditional min-max scheme with linear compensators. To achieve a satisfied control performance for a corresponding output, each limitation loop is design separately. However, some auxiliary outputs still exceed their limits when other loop regulators are active or overshoot occurs. To overcome this problem, a linear matrix inequalities (LMI) approach is developed by considering the limit values in regulator design of other loops and the condition for no overshoot of auxiliary outputs. Finally, practical applicability is further demonstrated by numerical simulation. The results show that the designed controller can achieve a satisfactory dynamic and steady performance and keep the auxiliary outputs within constraints.

Stabilization for Networked Control Systems with Limited Communication

2013 ◽  
Vol 397-400 ◽  
pp. 1963-1966
Author(s):  
Ying Ying Liu ◽  
Yun Kai Chu
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Lyapunov Stability Theory ◽  
Networked Control ◽  
Linear Matrix ◽  
Quantization Scheme ◽  
Matrix Inequalities ◽  
Delay Bound ◽  
The Relationship ◽  
Convex Condition

This paper studies the stabilization problems of networked control systems (NCSs) with dynamical quantizers. A new model is proposed that takes into consideration the effect of the network induced delay, the quantization levels, and based on this model, dynamical quantization scheme is introduced. The relationship between the delay bound，the quantization range and stability is given by using Lyapunov stability theory and linear matrix inequalities (LMIs) approach, and convex condition of the stabilization controller is presented. A simulation example shows the effectiveness of the proposed method.

THE DEVELOPMENT OF AN EMBEDDED, INTEGRATED INS/GPS SYSTEM

2005 ◽  
Vol 15 (02) ◽  
pp. 193-198 ◽  
Author(s):  
T. Y. JIANG ◽  
J. GUZMAN ◽  
H. Z. LI ◽  
Z. M. GONG
Keyword(s):  
Kalman Filter ◽  
Real Time ◽  
Integrated System ◽  
Sensor Selection ◽  
Development Work ◽  
Integration System ◽  
Loosely Coupled ◽  
System A ◽  
Critical Problems ◽  
Gps System

An embedded, real-time, loosely-coupled INS/GPS integration system has been developed and used for an unmanned land vehicle's control and navigation. For this integrated system, a Kalman filter software is used for INS error damping and corrections via the weighted aiding of a GPS output. The detailed development work will be presented in this paper including algorithm simplification, sensor selection and critical problems solving. Vehicular trial is also conducted. Simulated outage in GPS availability is made to assess the bridging accuracy of this system.

An LMI Approach to Mixed H_/H∞ Robust Fault Detection Observer Design

2012 ◽  
Vol 546-547 ◽  
pp. 874-879 ◽  
Author(s):  
Ying Chun Zhang ◽  
Li Na Wu ◽  
Zheng Fang Wang ◽  
Qing Xian Jia
Keyword(s):  
Fault Detection ◽  
Uncertain Systems ◽  
Optimization Problems ◽  
Observer Design ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Matrix Inequalities ◽  
Lmi Approach ◽  
Robust Fault Detection ◽  
Iterative Linear Matrix Inequality

This paper investigates the problem of the robust fault detection (RFD) observer design for linear uncertain systems with the aid of the H_ index and the H∞ norm, which are used to describe the problem of this observer design as optimization problems. Conditions for the existence of such a fault detection observer are given in terms of matrix inequalities. RFD problem with structured uncertainties in the system matrices is also considered. The solution is obtained by an iterative linear matrix inequality (ILMI) algorithm. Numerical example is employed to demonstrate the effectiveness of the proposed methods.

State and Input Observer Design for Nonlinear Impulsive Systems via LMI Approach

2014 ◽  
Vol 950 ◽  
pp. 119-124
Author(s):  
Tian Shao ◽  
Ke Peng ◽  
Zhi Sheng Chen ◽  
Yan Jun Liu
Keyword(s):  
Linear Matrix Inequalities ◽  
Sufficient Conditions ◽  
The State ◽  
Lyapunov Theory ◽  
Observer Design ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Impulsive Systems ◽  
Lmi Approach ◽  
Quadratic Constraint

This paper addresses the observer design for simultaneously estimating the state and input of a class of impulsive systems whose nonlinear terms satisfy an incremental quadratic constraint. By employing Lyapunov theory, sufficient conditions for asymptotical and exponential estimation convergence are derived. Gain matrices of the proposed observer can be obtained by solving linear matrix inequalities (LMIs).

scholarly journals Improved Stabilization Method for Lurie Networked Control Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Hong-Bing Zeng ◽  
Lei Ding ◽  
Shen-Ping Xiao ◽  
Fei Yu
Keyword(s):  
Control Systems ◽  
State Feedback ◽  
Networked Control Systems ◽  
Networked Control ◽  
Linear Matrix ◽  
Iteration Algorithm ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Stabilization Method ◽  
The Relationship

The problem of stabilization of Lurie networked control systems (NCSs) is investigated in this paper. The network-induced delays in NCSs are assumed to be time-varying and bounded. By utilizing a reciprocally convex technique to consider the relationship between the network-induced delay and its varying interval, a new absolute stability condition is derived in terms of linear matrix inequalities (LMIs). Based on the obtained condition, an improved cone complementary linearisation (CCL) iteration algorithm is presented to design a state feedback controller. The effectiveness of the proposed method is verified by a numerical example.

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