Observability of Switched Linear Systems in Continuous Time
نویسندگان
چکیده
We study continuous-time switched linear systems with unobserved and exogenous mode signals. We analyze the observability of the initial state and initial mode under arbitrary switching, and characterize both properties in both the autonomous and non-autonomous cases.
منابع مشابه
Observability of Switched Linear Systems
The observability of deterministic, discrete-time, switched, linear systems is considered. Depending on whether or not the modes are observed, and on whether the continuous state or the mode sequence is to be recovered, several observability concepts are defined, characterized through linear algebraic tests, and their decidability assessed.
متن کاملObservability and Observer Design for Continuous-Time Perturbed Switched Linear Systems under Unknown Switchings
time instant the evolving LS. Hybrid systems cap ture the continuous and discrete interaction that appears in complex systems ranging from biolog ical systems [14] to automotive systems [7]. For SLS, many contributions have been reported con cerning such basic system properties as stability, controllability, and observability. Since the conditions for the observability with unknown inputs of...
متن کاملRobust H2 switching gain-scheduled controller design for switched uncertain LPV systems
In this article, a new approach is proposed to design robust switching gain-scheduled dynamic output feedback control for switched uncertain continuous-time linear parameter varying (LPV) systems. The proposed robust switching gain-scheduled controllers are robustly designed so that the stability and H2-gain performance of the switched closed-loop uncertain LPV system can be guaranteed even und...
متن کاملA new switching strategy for exponential stabilization of uncertain discrete-time switched linear systems in guaranteed cost control problem
Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strate...
متن کاملRobust Estimation Algorithm for Both Switching Signal and State of Switched Linear Systems
We present a hybrid-type observer for detecting the switching time and estimating both the active mode and the states of continuous-time switched linear systems. The systems under consideration have external inputs and are affected by unknown disturbances. In addition, noise corrupts the output measurements. In this setting the switching cannot be detected immediately, and thus, this paper pres...
متن کامل