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Independent component analysis (ICA) aims at decomposing an observed random vector into statistically independent variables. Deflation-based implementations, such as the popular one-unit FastICA algorithm and its variants, extract the independent components one after another. A novel method for deflationary ICA, referred to as RobustICA, is put forward in this paper. This simple technique consists...
This paper presents a novel Model Predictive Control strategy for input-saturated nonlinear systems having a polynomial structure. The method is based on algebraic geometry and viability theory arguments for computing the sets of states that can be steered in a finite number of steps, via a general control law, to a given robust positive invariant set. A first key aim is to present Sum-of-Squares...
This paper presents a probabilistic cutting plane technique for solving a robust feasibility problem which is to find a solution satisfying a parameter-dependent convex constraint for all possible parameter values. The proposed algorithm employs random samples of the parameter and maximum volume ellipsoid centers of candidates of the solution set. It is shown that the numbers of updates and random...
When designing robust controllers, H∞ synthesis is a common tool to use. The controllers that result from these algorithms are typically of very high order, which complicates implementation. However, if a constraint on the maximum order of the controller is set, that is lower than the order of the (augmented) system, the problem becomes nonconvex and it is relatively hard to solve. These problems...
The problem of designing H?? dynamic output-feedback controllers for polytopic Delta operator systems is considered. Given a transfer function matrix of a system with polytopic uncertainty, an appropriate, not necessarily minimal, state-space model of the system is described which permits reconstruction of all its states. To this model, a new polynomial parameter-dependent approach to state-feedback...
In this paper, the rank stability radius problem is proposed for a real matrix under structured scalar perturbations and some interesting results are achieved based on polynomial analysis. In addition, a computable formula and a two-step procedure are obtained which nicely solves the problem in this simple setup. Finally, these results on rank stability radius are used to estimate the stability robustness...
This paper gives a new procedure for robustness analysis of linear time-invariant (LTI) systems whose state space coefficient matrices depend polynomially on multivariate uncertain parameters. By means of dual linear matrix inequalities (LMIs) that characterize performance of certain LTI systems, we firstly reduce these analysis problems into polynomial matrix inequality (PMI) problems. However, these...
This paper studies the global robust output regulation problem for a class of output feedback systems subject to an uncertain exosystem by using output feedback control. An adaptive control technique is used to handle the unknown parameter vector in the exosystem. It is shown that this unknown parameter vector can be exactly estimated asymptotically if the controller incorporates a minimal internal...
In this paper we develop a new algorithm to compute stabilizing sets for a fixed order digital controller for a multivariable plant. This computation is crucial in applications and few results are available. Our algorithm is based on (a) the Tchebyshev representation of the unit circle image of a polynomial, (b) recent results on sign-definite decomposition and (c) bounded phase results from Robust...
We consider decision making in a Markovian setup where the reward parameters are not known in advance. Our performance criterion is the gap between the performance of the best strategy that is chosen after the true parameter realization is revealed and the performance of the strategy that is chosen before the parameter realization is revealed. We call this gap the parametric regret. We consider two...
This paper studies the global regulation problem for a class of nonlinear polynomial systems subject to both dynamic uncertainty and static uncertainty. The dynamic uncertainty does not vanish at the origin of the state space and thus is not input-to-state stable (ISS). As a result, the small gain theory based robust control technique alone cannot handle this problem. We manage to integrate both robust...
Given a nominal plant, together with a fixed neighborhood of this plant, the problem of robust stabilization is to find a controller that stabilizes all plants in that neighborhood (in an appropriate sense). If a controller achieves this design objective, we say that it robustly stabilizes the nominal plant. In this paper we formulate the robust stabilization problem in a behavioral framework, with...
This paper considers robust pole assignment problem for discrete-time linear periodic systems via linear periodic output feedback. To character a measure for the sensitivity of the eigenvalues of the closed-loop system with respect to perturbations in the coefficient matrices, a robustness index for periodic systems is proposed, which can be regarded as a generalization of robustness index of normal...
We proposed a robust algorithm for valley-ridge extraction from point set. Our algorithm separately flag potential valley points and ridge points according to principle curvature of every point, then enhance the valley-ridge points by projecting them onto their local nearest potential valleys or ridges. Using an optimized principal covariance analysis approach, we smooth the projected points, finally...
Many specifications include assumptions on the environment. If the environment satisfies the assumptions then a correct system reacts as intended. However, when the environment deviates from its expected behavior, a correct system can behave arbitrarily. We want to synthesize robust systems that degrade gracefully, i.e., a small number of environment failures should induce a small number of system...
In this paper, we study robust stabilization of commensurate fractional order interval polynomial with the PID controller. In this paper, we show that a special class of commensurate fractional order interval plants can be stabilized by PID compensator if some of edge characteristic polynomials can be stabilized by the PID compensator. The proof is based on the fact that the special commensurate fractional...
In this paper, we show that a special class of commensurate fractional order interval plants can be stabilized by proportional compensator if some of extreme plants can be stabilized by the compensator. The special class of commensurate fractional order interval plant means that both its numerator and denominator polynomials has the orders whose values are the multiples of the irrational number between...
Zernike moments are widely used in image processing fields (e.g., rotation-invariant watermarking) based on many desirable properties, such as rotational invariance, noise robust and efficient representation of pattern. In image processing operations, an image after rotation will result in a bigger size for keeping the content. This will cause the difference among Zernike moments of an image and its...
A new approach to the single-channel loudspeaker equalization problem is presented. A scalar discrete-time mixed-phase precompensation filter is designed to be spatially robust, meaning that equalization performance should be insensitive to listener movements within a predefined spatial region. The problem is posed in a single-input multiple-output (SIMO) feedforward control framework and a polynomial...
This paper present an method for feature extraction from point set. Our algorithm use principle curvatures to ??ag potential feature points. Using an improved weight sensitive moving least squares, we developed a new approach to detect potential feature curves. The potential feature points are enhanced by projecting the points onto the local potential feature curves. Then smooth the projected points...
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