On robust stability of switched homogeneous systems

Abstract

This paper analyses the robust stability of a class of homogeneous systems where a relation among the high‐order term, the decay rate and the domain of attraction of the system is explicitly established. Such a new observation helps to establish several robust stability conditions for switched homogeneous systems with high‐order terms. Several domains of attraction related to asymptotical and finite‐time stability properties are also provided. The new results are further applied to supervisory control of spacecraft attitude system with high‐order uncertainties to illustrate their efficiency and applicability.

Feedback stabilization of switched linear systems via a parametric approach

“…The switched system is a dynamic system consisting of a series of continuous or discrete subsystems which is coordinated by a switching signal. The intention for researching switched linear systems is derived from real life, which are most often applied to mechanical systems [1], circuits and power systems [2], electric current source [3], network control systems [4], robust systems [5] and stochastic systems [6]. It has been shown that due to different switching signals, the dynamics of the switched system include some interesting phenomena.…”

“…Compared to the example in[5], we compute the solutions to the same matrix equation MVF 2 + DVF + KV = BW by applying SPM proposed in this paper, whereM = Ds + K ) = [ −1 s 2 + 2s + 1 −s + 2 ]…”