MUCKE aims to mine a large volume of images, to structure them conceptually and to use this conceptual structuring in order to improve large-scale image retrieval. The last decade witnessed important progress concerning low-level image representations. However, there are a number problems which need to be solved in order to unleash the full potential of image mining in applications. The central problem with low-level representations is the mismatch between them and the human interpretation of image content. This problem can be instantiated, for instance, by the incapability of existing descriptors to capture spatial relationships between the concepts represented or by their incapability to convey an explanation of why two images are similar in a content-based image retrieval framework. We start by assessing existing local descriptors for image classification and by proposing to use co-occurrence matrices to better capture spatial relationships in images. The main focus in MUCKE is on cleaning large scale Web image corpora and on proposing image representations which are closer to the human interpretation of images. Consequently, we introduce methods which tackle these two problems and compare results to state of the art methods. Note: some aspects of this deliverable are withheld at this time as they are pending review. Please contact the authors for a preview.

http://ieeexplore.ieee.org/iel2/4524/12820/00592460.pdf

Image Processing

Considers the problems of robust stability and stabilization for uncertain continuous singular systems with state delay. The parametric uncertainty is assumed to be norm bounded. The purpose of the robust stability problem is to give conditions such that the uncertain singular system is regular, impulse free, and stable for all admissible uncertainties, while the purpose of the robust stabilization is to design a state feedback control law such that the resulting closed-loop system is robustly stable. These problems are solved via the notions of generalized quadratic stability and generalized quadratic stabilization, respectively. Necessary and sufficient conditions for generalized quadratic stability and generalized quadratic stabilization are derived. A strict linear matrix inequality (LMI) design approach is developed. An explicit expression for the desired robust state feedback control law is also given. Finally, a numerical example is provided to demonstrate the application of the proposed method.

/pdf/robust-stability-and-stabilization-for-singular-systems-with-4zvzx7fnc7.pdf

Robust stability and stabilization for singular systems with state delay and parameter uncertainty

Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya's theorem

This paper presents the stability analysis of interval type-2 fuzzy-model-based (FMB) control systems. To investigate the system stability, an interval type-2 Takagi-Sugeno (T-S) fuzzy model, which can be regarded as a collection of a number of type-1 T-S fuzzy models, is proposed to represent the nonlinear plant subject to parameter uncertainties. With the lower and upper membership functions, the parameter uncertainties can be effectively captured. Based on the interval type-2 T-S fuzzy model, an interval type-2 fuzzy controller is proposed to close the feedback loop. To facilitate the stability analysis, the information of the footprint of uncertainty is used to develop some membership function conditions, which allow the introduction of slack matrices to handle the parameter uncertainties in the stability analysis. Stability conditions in terms of linear matrix inequalities are derived using a Lyapunov-based approach. Simulation examples are given to illustrate the effectiveness of the proposed interval type-2 FMB control approach.

Stability Analysis of Interval Type-2 Fuzzy-Model-Based Control Systems

This paper investigates the problem of output feedback robust $\mathscr{H}_{\infty }$ control for a class of nonlinear spatially distributed systems described by first-order hyperbolic partial differential equations (PDEs) with Markovian jumping actuator faults. The nonlinear hyperbolic PDE systems are first expressed by Takagi–Sugeno fuzzy models with parameter uncertainties, and then, the objective is to design a reliable distributed fuzzy static output feedback controller guaranteeing the stochastic exponential stability of the resulting closed-loop system with certain $\mathscr{H}_{\infty }$ disturbance attenuation performance. Based on a Markovian Lyapunov functional combined with some matrix inequality convexification techniques, two approaches are developed for reliable fuzzy static output feedback controller design of the underlying fuzzy PDE systems. It is shown that the controller gains can be obtained by solving a set of finite linear matrix inequalities based on the finite-difference method in space. Finally, two examples are presented to demonstrate the effectiveness of the proposed methods.

Fuzzy-Model-Based Reliable Static Output Feedback $\mathscr{H}_{\infty }$ Control of Nonlinear Hyperbolic PDE Systems

This paper develops a one-step LMI-based test for the admissibilization of linear discrete-time descriptor systems. For any admissibilizable system, the proposed method can generate a set of constant feedback gain matrices to make the closed-loop system admissible. The technical ingredients of our approach are the projection lemma and the coordinate transformation. The former introduces two instrumental variables into an LMI condition to characterize admissibility and the latter simplifies the representation of compensated descriptor pair by vanishing certain matrix blocks in the equivalent system representation. Combining them with the induced fact that all solution variables to the mentioned LMI condition possess some special block structures, the difficulty of generating nonlinear terms from applying compensation is successfully overcome. The numerical tractability of the results is illustrated by an example.

https://ieeexplore.ieee.org/iel5/9768/30811/01426782.pdf

On LMI approach to admissibilization of discrete-time descriptor systems

A simple approach to synthesizing a proportional and derivative state feedback gain for assigning poles to infinity is developed. We also apply the synthesized gain to determine a doubly coprime matrix fraction description (MFD) of a state-space system and solve related problems. It is interesting to note that the MFD and the solutions to the related problems could be obtained in an explicit formula by using the synthesized gain.

Pole assignment at infinity and polynomial matrix equations

In this paper, we propose a new approach to analyze robust stability of uncertain continuous-time generalized state-space systems. Under structured perturbations, a sufficient condition checking whether the stability degree is larger than a specified value is provided.

Robust Stability of Uncertain Generalized State-Space Systems

This paper considers the robust H 2 control problem of continuous-time interval state-space systems. A necessary and sufficient LMI-based condition is derived for analysis of quadratic stability and robust H 2 control. Using the analysis result, a state feedback controller and a static output feedback controller can be designed so that the closed-loop interval state-space system is quadratically stable and all its transfer matrices have an H 2 -norm bounded by a prescribed value. Two LMI-based conditions are derived respectively for the solvability of the above design problems. To the best of the authors' knowledge, the results of robust H 2 performance of interval state-space systems is scarce in the literature. This paper seems the first one attempting to deal with robust H 2 control analysis and design of interval state-space systems.

Robust H2 control analysis and design for continuous-time interval state-space systems

This paper investigates the problems of robust H∞ control for uncertain continuous-time systems with time-varying, norm-bounded uncertainties in all system matrices. Necessary and sufficient conditions for the above problems are proposed. All conditions are represented in the form of linear matrix inequalities (LMIs). The robust H∞ controller can be easily designed from the solutions of the LMI conditions. Unlike earlier works, the proposed method does not involve any parameter tuning. Thus the robust H∞ optimization control problem, which has not been discussed in earlier reports, can be dealt with using this newly proposed method.

Chun-Hsiung Fang

Papers

On LMI approach to admissibilization of discrete-time descriptor systems

Pole assignment at infinity and polynomial matrix equations

Robust Stability of Uncertain Generalized State-Space Systems

Robust H2 control analysis and design for continuous-time interval state-space systems

An lmi approach to robust h∞ control for uncertain continuous-time systems