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Static Output Feedback for Discrete-time Switched Linear Systems under Arbitrary Switching
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ding, Da-Wei Yang, Guang-Hong |
| Abstract | A switched system is a hybrid dynamical system consisting of a finite number of subsystems and a logical rule that orchestrates switching between these subsystems. Switched systems have received a great deal of attention in recent years, see e.g. [1-6] and references therein. The motivation for studying switched systems comes partly from the fact that switched systems and switched multi-controller systems have numerous applications in control of mechanical systems, process control, automotive industry, power systems, aircraft and traffic control, and many other fields. The problems encountered in switched systems can be classified into three categories [1]. The first one, which is of interest in this paper, is to find conditions that guarantee that switched systems are asymptotically stable under arbitrary switching signal. The second one is to identify certain useful classes of switching signals for which switched systems are asymptotically stable. And the third one is to construct a switching signal that makes switched systems asymptotically stable. It is also well-known that static output feedback (SOF) control is very useful and more realistic, since it can be easily implemented with low cost. The problem has been extensively studied in the past decades and for the SOF control problem of linear systems, there are various approaches to deal with it, see e.g. [7-14] and references therein. For discrete-time switched linear systems under arbitrary switching, sufficient conditions for SOF stabilization were obtained in [16-18]. In [16], two results were derived in terms of LMIs, one of which introducing a set of slack variables turned out to be less conservative than the other. However, these two results are both under linear matrix equality constraints. In [17], an SOF method was proposed which was specifically designed for a class of switched linear systems characterized by a particular structure of control matrices. In [18], a robust SOF method was proposed which can be applied to a broader class of switched linear systems than the one in [17], and has the advantage of not depending on particular statespace representation adopted for the system. It is worth noticing that both methods in [17,18] are only applicable to switched linear systems with special system matrices. This paper also investigates the problem of robust SOF control for discrete-time switched linear systems under arbitrary switching. Based on switched quadratic Lyapunov functions, new sufficient conditions for SOF stabilization are obtained, which guarantee a γ - |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1007/s12555-010-0206-8 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
