Background on Nonlinear Systems and Control

In this chapter, some basic results on nonlinear systems and control, including definitions of stability of nonlinear systems, Lyapunov-based control, feedback linearization, model predictive control, Lyapunov-based model predictive control and hybrid systems are reviewed.

[1]  V. Wertz,et al.  Adaptive Optimal Control: The Thinking Man's G.P.C. , 1991 .

[2]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[3]  Arjan van der Schaft,et al.  Non-linear dynamical control systems , 1990 .

[4]  A. Isidori.  Nonlinear Control Systems: An Introduction , 1986 .

[5]  Sophie Tarbouriech,et al.  Advanced strategies in control systems with input and output constraints , 2007 .

[6]  Hong Chen,et al.  Nonlinear Model Predictive Control Schemes with Guaranteed Stability , 1998 .

[7]  Prashant Mhaskar,et al.  On Constructing Constrained Control Lyapunov Functions for Linear Systems , 2011, IEEE Transactions on Automatic Control.

[8]  Panagiotis D. Christofides,et al.  Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control , 2005, Proceedings of the 2005, American Control Conference, 2005..

[9]  Costas Kravaris,et al.  Geometric methods for nonlinear process control. 2. Controller synthesis , 1990 .

[10]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[11]  Panagiotis D. Christofides,et al.  Predictive control of switched nonlinear systems with scheduled mode transitions , 2005, IEEE Transactions on Automatic Control.

[12]  P. Mhaskar,et al.  Enhanced stability regions for model predictive control of nonlinear process systems , 2008 .

[13]  Eduardo Sontag.  Smooth stabilization implies coprime factorization , 1989, IEEE Transactions on Automatic Control.

[14]  Eduardo Sontag.  A universal construction of Artstein's theorem on nonlinear stabilization , 1989 .

[15]  Tingshu Hu,et al.  An explicit description of null controllable regions of linear systems with saturating actuators , 2002, Syst. Control. Lett..

[16]  Yu. S. Ledyaev,et al.  Asymptotic controllability implies feedback stabilization , 1997, IEEE Trans. Autom. Control..

[17]  P. Kokotovic,et al.  Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations , 1999 .

[18]  M. Branicky.  Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..

[19]  Manfred Morari,et al.  Model predictive control: Theory and practice - A survey , 1989, Autom..

[20]  Z. Artstein.  Stabilization with relaxed controls , 1983 .

[21]  Alberto Bemporad,et al.  Control of systems integrating logic, dynamics, and constraints , 1999, Autom..

[22]  M. Morari,et al.  Explicit Model Predictive Control , 2007 .