Structural Robustness and Multi-Model Control in Gap Metric
نویسندگان
چکیده
منابع مشابه
Structural Robustness and Multi-Model Control in Gap Metric
The gap metric is a successful metric in control theory, which can measure the uncertainty and describe the performance specifcations of the robust control system. In the framework of this metric, robust stability radius is proposed to characterize the stability robustness of the closed-loop system. When both the plant and the controller have uncertainties simultaneously, we introduce the struc...
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We consider the construction of adaptive controllers for minimum phase linear systems which achieve non-zero robustness margins in the sense of the (linear) L2[0,∞) gap metric. The gap perturbations may be more constrained for larger disturbances and for larger parametric uncertainty. Working within the framework of the nonlinear gap metric [3], universal adaptive controllers are first given ac...
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For m-input, m-output, finite-dimensional, linear systems satisfying the classical assumptions of adaptive control (i.e., (i) minimum phase, (ii) relative degree one and (iii) positive definite high-frequency gain matrix), two control strategies are considered: the well-known λ-tracking and funnel control. An application of the λ-tracker to systems satisfying (i)–(iii) yields that all states of...
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Form-input, m-output, finite-dimensional, linear systems satisfying the classical assumptions of adaptive control (i.e., (i) minimum phase, (ii) relative degree one and (iii) “positive” highfrequency gain), it is well known that the adaptive λ-tracker ‘u = −k e, k̇ = max{0, |e|−λ}|e|’ achieves λ-tracking of the tracking error e if applied to such a system: all states of the closedloop system are...
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In this paper, we consider the robust stabilization problem for linear time varying (LTV) systems using the gap metric. In particular, we show that the time varying (TV) directed gap reduces to an operator with a TV Hankel plus Toeplitz structure. Computation of the norm of such an operator can be carried out using an iterative scheme involving a TV Hankel operator defined on a space of Hilbert...
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ژورنال
عنوان ژورنال: International Journal of Control and Automation
سال: 2013
ISSN: 2005-4297
DOI: 10.14257/ijca.2013.6.6.36