Although there has been a significant amount of work in the area of stochastic optimal control theory towards the development of new algorithms, the problem of how to control a stochastic nonlinear system remains an o...
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ISBN:
(纸本)9781424474264
Although there has been a significant amount of work in the area of stochastic optimal control theory towards the development of new algorithms, the problem of how to control a stochastic nonlinear system remains an open research topic. Recent iterative linear quadratic optimal control methods iLQG [1], [2] handle control and state multiplicative noise while they are derived based on first order approximation of dynamics. On the other hand, methods such as Differential Dynamic Programming expand the dynamics up to the second order but so far they can handle nonlinear systems with additive noise. In this work we present a generalization of the classic Differential Dynamic Programming algorithm. We assume the existence of state and control multiplicative process noise, and proceed to derive the second-order expansion of the cost-to-go. We find the correction terms that arise from the stochastic assumption. Despite having quartic and cubic terms in the initial expression, we show that these vanish, leaving us with the same quadratic structure as standard DDP.
In this work we present an equation that obtains the Laplace transform of a time function from its z-transform. This equation is the integral representation of the inversion of the well know convolution integral, whic...
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ISBN:
(纸本)9781424456956
In this work we present an equation that obtains the Laplace transform of a time function from its z-transform. This equation is the integral representation of the inversion of the well know convolution integral, which obtains the z-transform using the Laplace transform. The paper also presents the application of the presented method to obtain the estimation of continuous systems through their discrete time samples.
The paper developed a block-wise approach for ICA algorithms which can improve the computational efficiency of ICA without the degradation of performance for the separation of biomedical signals. Source signals includ...
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The paper developed a block-wise approach for ICA algorithms which can improve the computational efficiency of ICA without the degradation of performance for the separation of biomedical signals. Source signals including electrocardiogram (ECG), electromyogram (EMG) and 60-Hz sinusoid are linearly mixed for experimental tests. The mean-square errors (MSE) between the original sources and the separated signals are calculated for the evaluation of separation performance. These results demonstrated that the proposed block-wise approach can achieve the desired separation performance of signals in a more efficient way.
In this paper, we present an approach for radar and electronic support measure (ESM) simultaneous registration and fusion. An expectation-maximization based extended Kalman smoother (EM-EKS) is developed here to perfo...
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In this paper, we present an approach for radar and electronic support measure (ESM) simultaneous registration and fusion. An expectation-maximization based extended Kalman smoother (EM-EKS) is developed here to perform fusing of the system states and to simultaneously estimate the sensor biases. computer simulations are carried out to validate the efficiencies and robustness of the proposed algorithm.
Disturbance attenuation problem in terms of ℒ 2- gain for continuous linear time-delay (LTD) systems with nonzero initial conditions, time-varying delays and saturating control is addressed where the disturbances acti...
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Disturbance attenuation problem in terms of ℒ 2- gain for continuous linear time-delay (LTD) systems with nonzero initial conditions, time-varying delays and saturating control is addressed where the disturbances acting on the system are with bounded energy. First, a group of sufficient conditions in terms of bilinear matrix inequalities (BMIs) are obtained. Then, to solve this problem, cone complementary linearization method is adopted to the problem. The proposed method utilizes convex description of nonlinear saturation phenomenon by means of convex hull of some linear feedback which leads to a few additional ellipsoidal conditions in terms of linear matrix inequalities (LMIs). The validity of the method is illustrated through some examples at the end.
This work presents a (numerical) technique to the local stability analysis of feedback linearizing control schemes for a class of uncertain nonlinear systems. A nonlinear decomposition of vector functions is applied t...
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The support vector machine (SVM) of statistical learning theory was successfully applied in various fields, but still suffers from noise sensitivity originating from the fact that all the data points are treated equal...
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The support vector machine (SVM) of statistical learning theory was successfully applied in various fields, but still suffers from noise sensitivity originating from the fact that all the data points are treated equally. To relax this problem, the SVM was extended into a fuzzy SVM (FSVM) by the introduction of fuzzy memberships. The FSVM also has been further extended in two ways, by adopting a different objective function with the help of domain-specific knowledge, or by employing a different membership calculation method. In this paper we follow the second approach by proposing a new membership calculation method using a fuzzy k nearest neighbor classifier (F-KNN). Although there are already several membership calculation methods to enhance the performance of the FSVM, one problem in those methods is that they assume a specific data distribution. The F-KNN does not assume any data distribution, which helps the proposed method to accommodate various data distributions in real world problems. The proposed algorithm was applied to an insect footprint classification problem, and results verify the effectiveness of the method.
control technology underpins the operation of many, and arguably all, modern high technology systems. Such systems include transportation (aircraft, high speed trains, marine vessels, automobiles), telecommunication s...
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ISBN:
(纸本)9781424456956
control technology underpins the operation of many, and arguably all, modern high technology systems. Such systems include transportation (aircraft, high speed trains, marine vessels, automobiles), telecommunication systems, electricity networks, mining, minerals processing and agriculture. A particular area where control is playing an increasingly important role is industrial electronics. In this paper we will adopt a controlengineering perspective to reflect on the opportunities and challenges that exist in the application of advanced control to these systems.
Randić et al. proposed a significant graphical representation for DNA sequences, which is very compact and avoids loss of information. In this paper, we build a fast algorithm for this graphical representation with ti...
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Randić et al. proposed a significant graphical representation for DNA sequences, which is very compact and avoids loss of information. In this paper, we build a fast algorithm for this graphical representation with time complexity O(n 2 ), and find another important advantage in the representation: no degeneracy. Moreover, we propose a new method to do similarity analysis of DNA sequences based on the representation. The approach adopts four elements of covariance matrix as a descriptor, and is illustrated on the first exon of beta-globin genes from 11 different species.
This paper extends the method of virtual constraints and hybrid zero dynamics, developed for rigid robots with a single degree of underactuation, to MABEL, a planar biped with a novel compliant transmission. A time-in...
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This paper extends the method of virtual constraints and hybrid zero dynamics, developed for rigid robots with a single degree of underactuation, to MABEL, a planar biped with a novel compliant transmission. A time-invariant feedback controller is designed for realizing exponentially stable waking gaits in such a way that the closed-loop system preserves the natural compliance of the system, and therefore the energetic benefits of springs. This is accomplished by incorporating the compliance into the hybrid zero dynamics. The compliant-hybrid-zero-dynamics-based controller is implemented experimentally and shown to realize stable walking gaits which make use of the compliance to store and return energy to the gait.
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