NONLINEAR CONTROL SYSTEMS. - Volume 2 (Relié)

Alberto Isidori

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Springer
Paru le : 27/11/1999

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This book incorporates recent advances in the design of feedback laws to the purpose of globally stabilizing nonlinear systems via state or output feedback. It is a continuation of the first volume by Alberto Isidori on " Nonlinear Control Systems ". Specifically this second volume will cover : stability analysis of interconnected nonlinear systems. The notion of Input-to-State stability and its role in analysing stability of cascade-connected or feedback-connected systems. The notion of dissipativity and its consequences. Robust stabilization in the case of parametric uncertainties. Global, semi-global or practical semi-global stabilization. Design of state feedback and output feedback laws. Robust stabilization in the case of unstructured perturbations. Disturbance attenuation and almost disturbance decoupling. Global Stabilization using bounded controls. Normal forms for multi-input multi-output nonlinear systems from a global point of view. Their role in feedback design. The " Communications and Control Engineering Series " reflects the major technological advances which have a great impact in the fields of communication and control. It reports on the research in industrial and academic institutions around the world to exploit the view possibilities which are becoming available.

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STABILITY OF INTERCONNECTED NONLINEAR SYSTEMS
- Preliminaries
- Asymptotic stability and small perturbations
- Asymptotic stability of cascade-connected systems
- Input-to-state stability
- Input-to-state stability of cascade-connected system
- The "small-gain" theorem for input-to-state stable systems
- Dissipative systems
- Stability of interconnected dissipative systems
- Dissipative linear systems
FEEDBACK DESIGN FOR ROBUST GLOBAL STABILITY
- Preliminaries
- Stabilization via stabilization via output feedback : a special case
- Stabilization of systems in lower triangular form
- Design for multi-input systems
FEEDBACK DESIGN FOR ROBUST SEMIGLOBAL STABILITY
- Achieving semiglobal and practical stability
- Semiglobal stabilization via partial state feedback
- A proof of theorem 9.6.2
- Stabilization of minimum-phase systems in lower-triangular form
- Stabilization via output feedback without a separation principle
- Stabilization via output feedback of non-minimum-phase systems
- Examples
DISTURBANCE ATTENUATION
- Robust stability via disturbance attenuation
- The case of linear systems
- Disturbance attenuation
- Almost disturbance decoupling
- An estimate of the minimal level of disturbance attenuation L2-gain design for linear systems
- Global L2-gain design for a class of non-linear systems
STABILIZATION USING SMALL INPUTS
- Achieving global stability via small inputs
- Stabilization of systems in upper triangular form stabilization using saturation functions
- Applications and extensions.