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In this paper we present a general LMI-based analysis method to determine an upperbound on the L2 gain performance of a reset control system. These computable sufficient conditions for L2 stability, based on piecewise quadratic Lyapunov functions, are suitable for all LTI plants and linear-based reset controllers, thereby generalizing the results available in literature. Our results furthermore extend...
This paper presents a method for higher-order controller design with improved low-frequent disturbance rejection properties. Given a default PID-based controller, the circle criterion is used to construct an extra controller part that deals with resonances resulting from closing the loop. The advantage is twofold. First, a closed-loop shaping method is obtained that is straightforward, graphically-supported,...
To overcome fundamental limitations of linear controllers, reset controllers were proposed in literature. Since the closed loop system including such a reset controller is of a hybrid nature, it is difficult to determine its performance. The focus in this paper is to determine the performance of a SISO reset control system in H2 sense. The method is generally applicable in the sense that it is valid...
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