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Exponentially Stabilizing Adaptive Control for Linear Slowly Time-Varying Systems ♮
IFAC Proceedings Volumes, 1998Abstract This work presents some results pertaining to the parameter estimation and adaptive control of a linear time-varying system without disturbance or unmodelled dynamics. The system is assumed to be uniformly controllable with known orders, and that its parameters vary asymptotically slowly in the mean within a bounded set.
Yeung Yam, Ji-feng Zhang
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Estimating a Non-parametric, Colored Noise Model for Linear, Slowly Time-varying Systems
2008 IEEE Instrumentation and Measurement Technology Conference, 2008This paper proposes a methodology to estimate the disturbing noise of input/output measurements of slowly time-varying systems excited by multisines. This method circumvents the need of repeated measurements, which are, for time-varying systems, usually difficult to execute.
Lataire, John, Pintelon, Rik
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Unified stability criteria for slowly time-varying and switched linear systems
Automatica, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gao, Xiaobin +3 more
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Stability of slowly time-varying linear systems
2007New conditions are given in both deterministic and stochastic settings for the stability of the system \(\dot x = A(t)x\)when A(t) is slowly varying. Roughly speaking, the eigenvalues of A(t) are allowed to “wander” into the right half plane so long as “on average” they are strictly in the left half plane.
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On the stability of slowly time-varying linear systems
Mathematics of Control, Signals, and Systems, 1994The author presents several interesting results on exponential stability of time-varying, finite-dimensional systems \(\dot x(t)= [A(t)+ P(t) ]x(t)\) provided the perturbation \(P(\cdot)\) is small and \(t\mapsto A(t)\) is slowly varying, bounded and the eigenvalues of \(A(t)\) remain ``on average'' strictly in the left-half complex plane.
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On the strong stabilization of slowly time-varying linear systems
Systems & Control Letters, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Stability Conditions for Continuous-Time Systems with Slowly Time-Varying Parameters
IFAC Proceedings Volumes, 1996Abstract This paper presents some new conditions for the exponential stability of continuous-time linear homogeneous systems with slowly time-varying parameters, and investigates conditions for the boundedness of the solutions of a class of continuous time dynamic systems, which result from almost all the available continuous-time adaptive control ...
Yong Li, Hong-Xin Wu
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Connections between stability conditions for slowly time-varying and switched linear systems
2015 54th IEEE Conference on Decision and Control (CDC), 2015This paper establishes an explicit relationship between stability conditions for slowly time-varying linear systems and switched linear systems. The concept of total variation of a matrix-valued function is introduced to characterize the variation of the system matrix.
Xiaobin Gao +3 more
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Journal of Dynamic Systems, Measurement, and Control
Abstract Recently, a class of adaptive schemes has been developed for rejecting sinusoidal output disturbances with unknown frequencies, phases, and amplitudes. These adaptive schemes require an accurate model of the affected system's dynamics to function, and the controller performance degrades as the modeling error increases.
Jacob Stewart, Petros Ioannou
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Abstract Recently, a class of adaptive schemes has been developed for rejecting sinusoidal output disturbances with unknown frequencies, phases, and amplitudes. These adaptive schemes require an accurate model of the affected system's dynamics to function, and the controller performance degrades as the modeling error increases.
Jacob Stewart, Petros Ioannou
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FRF measurements on slowly time-varying systems using multisines with non-uniformly spaced harmonics
2013 IEEE International Instrumentation and Measurement Technology Conference (I2MTC), 2013Recently [1] a method has been developed to detect and quantify the influence of time-variation in frequency response function measurements using random excitations. This method can also be applied to random phase multisine excitations, provided uniformly spaced excited harmonics.
Pintelon, Rik +2 more
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