Pii: S0005-1098(97)00186-6

Connection of Multiplicative/Relative Perturbation in Coprime Factors and Gap Metric Uncertainty

In this paper, it is shown that a linear uncertain system described by a certain L 1 multiplicative or relative perturbation in its coprime factors that are not necessarily normalized, is the same as the one described by a gap or-gap metric ball. Hence all the stability robustness results for gap or-gap metric uncertainty carry over to this type of coprime factor perturbation. Uncertain systems...

Non-stationary stochastic embedding for transfer function estimation

This paper presents a consistent framework for the quantiication of noise and undermodelling errors in transfer function model estimation. We use the, so-called, stochastic embeddingg approach , in which both noise and undermodelling errors are treated as stochastic processes. In contrast to previous applications of stochastic embedding, in this paper we represent the un-dermodeling as a multip...

Robust adaptive control of nonlinear discrete-time systems by backstepping without overparameterization

This paper presents a robust backstepping adaptive controller to overcome the overparameterization problem in adaptive control of nonlinear discrete-time systems. It is shown that the proposed controller can guarantee the global boundedness of the states of the whole adaptive system in the presence of time-varying parametric and nonparametric uncertainties. It can also ensure that the tracking ...

On the model-based control of networked systems

In this paper the control of linear plants, where the sensor is connected to a linear controller/actuator via a network is addressed. Both, state and output feedback, are considered and results are derived for both continuous and discrete plants. A key idea is that knowledge of the plant dynamics is used to reduce the usage of the network. Necessary and sufficient conditions for stability are d...

A Multi-model Algorithm for Parameter Estimation of Time-varying Nonlinear Systems