Journal ArticleDOI
Perspectives and results on the stability and stabilizability of hybrid systems
R.A. Decarlo,Michael S. Branicky,Stefan Pettersson,Bengt Lennartson +3 more
- Vol. 88, Iss: 7, pp 1069-1082
TLDR
In this paper, the authors introduce the concept of hybrid systems and some of the challenges associated with the stability of such systems, including the issues of guaranteeing stability of switched stable systems and finding conditions for the existence of switched controllers for stabilizing switched unstable systems.Abstract:
This paper introduces the concept of a hybrid system and some of the challenges associated with the stability of such systems, including the issues of guaranteeing stability of switched stable systems and finding conditions for the existence of switched controllers for stabilizing switched unstable systems. In this endeavour, this paper surveys the major results in the (Lyapunov) stability of finite-dimensional hybrid systems and then discusses the stronger, more specialized results of switched linear (stable and unstable) systems. A section detailing how some of the results can be formulated as linear matrix inequalities is given. Stability analyses on the regulation of the angle of attack of an aircraft and on the PI control of a vehicle with an automatic transmission are given. Other examples are included to illustrate various results in this paper.read more
Citations
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Journal ArticleDOI
Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions
P. Kundur,John Paserba,Venkataramana Ajjarapu,Göran Andersson,Anjan Bose,Claudio A. Canizares,Nikos Hatziargyriou,David J. Hill,Aleksandar M. Stankovic,C.W. Taylor,T. Van Cutsem,Vijay Vittal +11 more
TL;DR: In this article, a Task Force, set up jointly by the CIGRE Study Committee 38 and the IEEE Power System Dynamic Performance Committee, addresses the issue of stability definition and classification in power systems from a fundamental viewpoint and closely examines the practical ramifications.
Journal ArticleDOI
Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
Hai Lin,Panos J. Antsaklis +1 more
TL;DR: This paper focuses on the stability analysis for switched linear systems under arbitrary switching, and highlights necessary and sufficient conditions for asymptotic stability.
Journal ArticleDOI
Hybrid dynamical systems
TL;DR: In this paper, the authors present a tutorial on modeling the dynamics of hybrid systems, on the elements of stability theory for hybrid systems and on the basics of hybrid control, focusing on the robustness of asymptotic stability to data perturbation, external disturbances and measurement error.
Journal ArticleDOI
Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
TL;DR: The approach followed in this paper looks at the existence of a switched quadratic Lyapunov function to check asymptotic stability of the switched system under consideration and shows that the second condition is, in this case, less conservative.
Book
Predictive Control for Linear and Hybrid Systems
TL;DR: Predictive Control for Linear and Hybrid Systems is an ideal reference for graduate, postgraduate and advanced control practitioners interested in theory and/or implementation aspects of predictive control.
References
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Journal ArticleDOI
Towards a stability theory of general hybrid dynamical systems
A.N. Michel,Bo Hu +1 more
TL;DR: A general comparison theory is developed for the class of hybrid dynamical systems considered herein, making use of stability preserving mappings, and it is shown how these results can be applied to establish some of the Principal Lyapunov Stability Theorems.
Book ChapterDOI
Sliding mode control in discrete-time and difference systems
TL;DR: Wide use of digital controllers has placed onto the research agenda the generalization of sliding mode control methodology to discrete-time control systems.
Journal ArticleDOI
Nonlinear P-I controller design for switchmode DC-to-DC power converters
TL;DR: In this article, extended linearization techniques are proposed for the design of nonlinear proportional-integral (P-I) controllers stabilizing, to a constant value, the average output voltage of pulsewidth modulation (PWM) switch-regulated DC-to-DC converters.
Proceedings ArticleDOI
LMI for stability and robustness of hybrid systems
TL;DR: In this paper, the authors present results for stability and robustness of hybrid systems consisting of nonlinear subsystems, which are extensions of classical Lyapunov theory restricted to certain kinds of hybrid system.
Journal ArticleDOI
Hybrid systems in process control
TL;DR: In this article, a general model structure for hybrid systems is proposed based on a number of observations on typical mixed discrete and continuous features for such applications, which clearly separates the open-loop plant from the closed-loop system and is suitable for analysis and synthesis of hybrid control systems.