内容简介：　　　

　　This thesis is focused on the field of reset control, which emerged more than 50 years ago with the main goal of overcoming the fundamental limitations of the linear compensators. In the last years, a multitude of works have shown the potential benefits of the reset compensation. Nevertheless, there are only a few works dealing with two of the most common limitations in industrial process control: the time-delay and the saturation. It is well-known that both limitations may lead into a detriment of the performance, and even the destabilization of the closed-loop system. Therefore, this thesis aim at analyzing the stability of the reset control systems under these limitations. First, we address the stability analysis of time-delay reset control systems. We develop stability criteria for impulsive delay dynamical systems, based on the Lyapunov-Krasovskii method. The applicability of the results to time-delay reset control systems arises naturally, since they are a particular class of impulsive systems. We first focus our attention on impulsive delay systems with state-dependent resetting law. The application of the criteria to reset control systems supposes an improvement of the results in the literature, guaranteeing the stability of the system for larger values of the time-delay. In addition, in order to overcome the limitations of the base system, we consider the stabilization of impulsive delay systems by imposing time-dependent conditions on the reset intervals. As a result, stability criterion is developed for impulsive systems, and in particular time-delay reset control systems, with unstable base system. Finally, the new criterion is used to establish conditions for the stability of a reset control system containing a proportional-integral plus Clegg (PI+CI) integrator compensator.
　　On the other hand, we study the stability of the reset control systems in presence of plant input saturation. In particular, we propose a method to obtain an approximation of the region of attraction based on a representation of the behavior of the reset control system by polytopes and directed graphs.
　　From the application point of view, it is considered the PI+CI compensator. We study several modifications of the compensator which are proposed in the literature, for instance variable band resetting law and variable reset ratio. In addition, we propose new design improvements such as switching reset ratio, in order to enhance the performance in real applications. On the other hand, it is developed a systematic method for PI+CI tuning, based on the analysis and optimization of the impulse response of a set of linear and time invariant systems. Therefore, simple tuning rules have been developed for processes modeled by first and second order systems, and integrator plus dead time systems. Finally, the superior performance of the PI+CI compensator with the proposed tuning method is shown in real experiments of process control. First, the control of an in-line pH process is performed, showing that the tuning rules for first and second order systems can be applied to more complex processes. Second, we accomplish the control of water level in a tank. In both cases, the PI+CI supposes an improvement of the performance in comparison to its linear counterpart PI. In particular, the reset compensation provides a faster response with smaller overshoot and settling time.

英文目录：
List of figures
List of table
Preface
Acknowledgments
1 Introduction
　　1.1 Motivation of reset control
　　1.2 Basic concepts of RCSs
　　　　1.2.1 Preliminaries and problem setup
　　　　1.2.2 Solutions to RCSs
　　　　1.2.3 RCSs with discrete-time reset conditions
　　1.3 Fundamental theory of traditional reset design
　　　　1.3.1 Horowitz’s design
　　　　1.3.2 PI+CI reset design
　　Notes
　　References
2 Describing function analysis of reset systems
　　2.1 Sinusoid input response
　　2.2 Describing function
　　　　2.2.1 General case
　　　　2.2.2 Gain-balanced FORE
　　2.3 Application to HDD systems
　　　　2.3.1 Reset narrow band compensator (RNBC)
　　　　2.3.2 Mid-frequency disturbance compensation
　　　　2.3.3 Simulation results
　　Notes
　　References
3 Stability of reset control systems
　　3.1 Preliminaries
　　　　3.1.1 Annihilator of matrices
　　　　3.1.2 Passive systems
　　3.2 Quadratic stability
　　3.3 Stability of RCSs with time-delay 63vi Analysis and design of reset control systems
　　3.4 Reset times-dependent stability
　　3.5 Passivity of RCSs
　　Notes
　　References
4 Robust stability of reset control systems
　　4.1 Definitions and assumptions
　　4.2 Quadratic stability
　　　　4.2.1 RCSs with low-dimensional plants (np ≤ 2)
　　　　4.2.2 High-dimensional cases
　　4.3 Affine quadratic stability
　　4.4 Robust stability of RCS with time-delay
　　4.5 Examples
　　Notes
　　References
5 RCSs with discrete-time reset conditions
　　5.1 Preliminaries and problem setting
　　5.2 Stability analysis
　　5.3 A heuristic design method
　　5.4 Application to track-seeking control of HDD systems
　　　　5.4.1 System description
　　　　5.4.2 Baseline controller design
　　　　5.4.3 Reset mode
　　　　5.4.4 Stability analysis
　　　　5.4.5 Simulation results
　　Notes
　　References
6 Reset control systems with fixed reset instants
　　6.1 Stability analysis
　　　　6.1.1 Stability analysis through induced discrete systems
　　　　6.1.2 Lie-algebraic condition
　　6.2 Moving horizon optimization
　　　　6.2.1 Trade-off between stability and other performances
　　　　6.2.2 Observer-based reset control
　　6.3 Optimal reset law design
　　　　6.3.1 Equivalence between ORL and LQR
　　　　6.3.2 Solutions to ORL problems
　　6.4 Application to HDD systems
　　　　6.4.1 Dynamics model of HDD systems
　　　　6.4.2 Moving horizon optimal reset control
　　　　6.4.3 Optimal reset control
　　6.5 Application to PZT-positioning stage
　　　　6.5.1 Modeling of the PZT-positioning stage
　　　　6.5.2 Reset control design
　　　　6.5.3 Experimental results
　　Notes
　　References
7 Reset control systems with conic jump sets
　　7.1 Basic idea
　　7.2 L2-gain analysis
　　　　7.2.1 Passification via reset
　　　　7.2.2 Finite L2 gain stability
　　Notes
　　References
Index