The use of an identified model for the design of a feedback controller for an actual plant introduces strictures on the quality of the model which are different from those pertaining in open loop identification. For e...
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The use of an identified model for the design of a feedback controller for an actual plant introduces strictures on the quality of the model which are different from those pertaining in open loop identification. For example, a model P/spl circ/ is admissible for the design of a controller for the actual plant P only if the pair (P/spl circ/, P) is simultaneously stabilizable. This paper addresses the question of the quality of a model to be used for control design, by analysing the interplay between the plant P, the designed closed loop system T and the set of admissible models {P/spl circ/}. For given P and T we characterize the set of admissible models {P/spl circ/}, where admissible means that a controller designed from P/spl circ/ and T yields a stable closed loop. Necessary conditions on (P, T) are derived for this set to be nonempty.
In this paper, the problem of tonal disturbance rejection via direct adaptive control is considered. The key problem feature is compared with the usual adaptive tracking problem. Traditional model reference and pole p...
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In this paper, the problem of tonal disturbance rejection via direct adaptive control is considered. The key problem feature is compared with the usual adaptive tracking problem. Traditional model reference and pole placement approaches are attempted, and their advantages and drawbacks are given. We then propose an adaptive solution based on a new parametrization scheme which is unique to the given problem. Simulation studies are used to compare these different schemes.
This paper examines the problem of eliminating a vibrational disturbance from the output of a linear, time-invariant and unknown system. Theory is presented which shows that it is possible to design an adaptive contro...
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This paper examines the problem of eliminating a vibrational disturbance from the output of a linear, time-invariant and unknown system. Theory is presented which shows that it is possible to design an adaptive controller which will converge to a stable controller which regulates the system. Moreover, using this adaptive control scheme, it is possible to estimate consistently the frequency of the disturbance. This contrasts with the well-known bias that occurs when estimating the frequency of a sinusoid in open loop.
For dextrous robotic hand grasping a key goal is to balance external and internal grasping forces to assure a stable grasp and low grasping energy. In this paper, the authors view the task of grasping force optimizati...
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For dextrous robotic hand grasping a key goal is to balance external and internal grasping forces to assure a stable grasp and low grasping energy. In this paper, the authors view the task of grasping force optimization as a linearly constrained semidefinite programming problem for which there are known globally exponentially convergent solutions via gradient flows. A key observation is that the nonlinear friction constraint at each contact point is equivalent to the positive definiteness of a suitable matrix containing the contact wrench intensities. A recursive version is presented, and numerical examples demonstrate the simplicity, the good numerical properties, and optimality of the approach.
Considers the LMS estimation of "long" channels which have time domain impulse responses consisting of sparsely spaced nonzero taps or groups of taps. Standard LMS estimation of such long sparsely parametriz...
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Considers the LMS estimation of "long" channels which have time domain impulse responses consisting of sparsely spaced nonzero taps or groups of taps. Standard LMS estimation of such long sparsely parametrized channels, in which all taps are estimated, suffers from poor transient and/or asymptotic performance. Analyses carried out by the authors indicate that performance improvements can be achieved by estimating only those taps which are nonzero or "active". The authors develop a simple procedure, based on the least squares method, which for sufficiently large N (the number of sample intervals) detects the correct number and position of active taps. Using this structure detection procedure the authors propose an LMS based estimation algorithm. Simulations indicate that this "LMS-structure detection" algorithm provides considerable performance improvement over the standard LMS algorithm.< >
The authors propose numerical techniques for parameter estimation of fast-sampled homogeneous Markov chains observed in white Gaussian noise. Continuous-time filters that estimate the quantities used in the expectatio...
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The authors propose numerical techniques for parameter estimation of fast-sampled homogeneous Markov chains observed in white Gaussian noise. Continuous-time filters that estimate the quantities used in the expectation-maximization (EM) algorithm for maximum likelihood parameter estimation have been obtained by R.J. Elliott (1991, 1992). The numerical work is based on the robust discretization of these filters. The advantage of using filters in the EM algorithm is that they have negligible memory requirements, independent of the number of observations. In comparison, standard discrete-time EM algorithms (Baum-Welch re-estimation equations) are based on smoothers and require the use of the forward-backward algorithm, which is a fixed-interval algorithm and has memory requirements proportional to the number of observations. Although the computational complexity of the filters at each time instant is O(N/sup 4/) (for a N state Markov) compared to O(N/sup 2/) for the forward-backward scheme, the filters are suitable for parallel implementation. Simulations are presented to illustrate the satisfactory performance of the algorithms.< >
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