2 research outputs found

    Feedback Passivation of Linear Systems with Fixed-Structure Controllers

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    This letter addresses the problem of designing an optimal output feedback controller with a specified controller structure for linear time-invariant (LTI) systems to maximize the passivity level for the closed-loop system, in both continuous-time (CT) and discrete-time (DT). Specifically, the set of controllers under consideration is linearly parameterized with constrained parameters. Both input feedforward passivity (IFP) and output feedback passivity (OFP) indices are used to capture the level of passivity. Given a set of stabilizing controllers, a necessary and sufficient condition is proposed for the existence of such fixed-structure output feedback controllers that can passivate the closed-loop system. Moreover, it is shown that the condition can be used to obtain the controller that maximizes the IFP or the OFP index by solving a convex optimization problem

    Analysis of Two-Dimensional Feedback Systems over Networks Using Dissipativity

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    This paper investigates the closed-loop L2 stability of two-dimensional (2-D) feedback systems across a digital communication network by introducing the tool of dissipativity. First, sampling of a continuous 2-D system is considered and an analytical characterization of the QSR-dissipativity of the sampled system is presented. Next, the input-feed forward output-feedback passivity (IF-OFP), a simplified form of QSR-dissipativity, is utilized to study the framework of feedback interconnection of two 2-D systems over networks. Then, the effects of signal quantization in communication links on dissipativity degradation of the 2-D feedback quantized system is analyzed. Additionally,an event-triggered mechanism is developed for 2-D networked control systems while maintaining L2 stability of the closed-loop system. In the end, an illustrative example is provided