Overcoming Performance Limitations of Linear Control with Hybrid Integrator-Gain Systems

Plant with integrator: an example of reset control overcoming limitations of linear feedback

Control Design for Integrator Hybrid Systems

We define controllability for hybrid systems as the existence of correct control-laws that transfer the hybrid plant between pre-defined subsets of the hybrid state-space. A methodology for analyzing controllability and synthesizing control-laws for a class of hybrid systems, applicable expecially in batch control, is proposed. We use a framework consisting of a hybrid plant and a hybrid contro...

Cheap Control Performance Limitations of Input Constrained Linear Systems

Limited authority of actuators implies that real control signals are always constrained, and in almost all cases, this produces a degradation in the performance of the system. It is thus of practical importance to understand the fundamental aspects of this performance degradation. In this paper, we take an initial step by proposing a way to characterize the performance limitations that arise in...

Improving L2 Gain Performance of Linear Systems by Reset Control

In this paper, new Lyapunov-based reset rules are constructed to improve L2 gain performance of linear-time-invariant (LTI) systems. By using the hybrid system framework, sufficient conditions for exponential and finite gain L2 stability are presented. It is shown that the L2 gain of the closed loop system with resets can be improved compared with the base system. Numerical example supports our...

Limitations of hybrid systems

We examine the ability of combining symbolic and subsymbolic approaches b y means of recursively encoding and decoding structured data. We show that encoding of symbolic data is possible in this w ay { hence neural netw orks seem well suited for control or classi cation in symbolic approaches { whereas decoding requires an increasing complexit y of the decoding function { hence netw orks with t...