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State estimation is a core objective in cyber-physical systems. In the state estimation problem over linear systems, the Kalman filter is the standard solution. The filter is the format on which the solutions to subsequent estimation problems are based. Among these problems are the estimation problem in the presence of packet drops and estimation problem involving event-based triggers. We study in...
For a class of linear sampled-data systems with norm-bounded uncertainty, sufficient conditions for the existence of state feedback control laws with the closed-loop poles in a pre-specified disk and optimizational robust H∞ performance are derived in terms of linear matrix inequalities (LMIs). The problem of designing the controllers with smaller gain parameters is formulated as a convex problem...
The sliding mode control methodology for a class of switched linear systems with the immeasurable states is presented. A reduced-order observer is designed, which guarantees the stability of observer error system under arbitrary switching in a common quadratic Lyapunov function framework. Based on the estimated states, a sliding mode control law is synthesized to enforce asymptotic stability for the...
This paper studies the robust stability problem for a class of uncertain linear systems with time-varying delay. A vector inequality and the stability theory of Lyapunov are employed to derive a sufficient condition for the stability of uncertain time-delay systems. The obtained criterion can include information on the size of delay, and therefore, belongs to delay-dependent criterion. An illustrative...
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