In this project, we have tackled the robust fault detection and diagnosis problem for affine nonlinear sampled-data systems based on nonlinear H∞ filtering theory,and focused on the design of robust fault dtetction filter. The main contribution of this project is that we (1)present design methods of robust fault estimator for nonlinear discrete-time systems based on least square estimation and linear matrix inequality;(2)improve the bounded real lemma of systems with finite discrete jumps;(3)develop the robust fault detection filters for affine nonlinear sampled-data systems with parameter uncertainties based on the improved bounded real lemma.

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The examples indicate that the algorithm has strong pertinence and high efficiency, hi the discrete variable optimization, the problem is solved in the relative quotient method On the base of analyzing the relative quotient method, the conjugate gradient direction is used to modify the old search directions, the iterative matrix of the algorithm, and the method to resolve the discrete variable optimization, the relative conjugate difference quotient algorithm is presented.

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The book is divided into 14 chapters, including Introduction, continuous control system theory, process and discrete sampling, Z transform, sampled-data systems, discrete approximation of continuous system the equivalent, based on mathematical transform the classical design method, based on state space pole placement design methodology, multi-variable system of quadratic optimal control, quantitative effects, the choice of sampling period, the digital control system modeling, digital control system for a variety of design methods, variables quadratic optimal control systems, sampling cycle of selection, non-linear control of the problem, as well as digital control system, a typical application - Disk drive servo control design.

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Mesh fairness problem We propose the conception of discrete curvature vector for meshes, and suggest a new fairness criterion that a mesh is fair if changes in discrete curvature vectors of this mesh are gradual and uniform Based on this fairness criterion, two algorithms are presented.

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In this paper, no-wait flow shops scheduling problems for a mixed discrete particle swarm optimization, through the establishment of the location of the vector encoding and scheduling program of mapping relations between the continuous particle swarm optimization algorithm is applied to discrete no-wait flow shops scheduling problem.

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Discrete version of PSO, MATLAB environment to solve the problem of discrete optimization helpful.

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The Discrete Logarithm Problem was analyzed. Based on the discrete logarithm in the prime field, and combined with the elliptic curve DLP in the limited domain, a new digital signature was brought up.

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In particular, they present an open problem: the characterization of the representable discrete polymatroids, that is, which discrete polymatroids are representable?

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In this dissertation, a semi-discrete method-the discrete method of separation of variables is proposed for solving the composite materials problem on a polygon.

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