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Table of contents
1 Introduction
1.1 Networked control systems
1.1.1 Control design approaches
1.1.1.1 Emulation
1.1.1.2 Co-design
1.1.1.3 Direct discrete-time
1.2 Event-triggered control
1.2.1 The idea
1.2.2 Hybrid model
1.2.3 Event-triggering mechanisms
1.2.3.1 Static threshold
1.2.3.2 State-dependent threshold
1.2.3.3 Using additional variables
1.2.4 Other state-dependent sampling paradigms
1.2.5 Output feedback control
1.2.5.1 Motivating example
1.2.5.2 Existing results
1.3 Objectives and contributions
1.4 Conclusion
2 Emulation design for nonlinear systems
2.1 Hybrid model
2.2 Main results
2.2.1 Assumptions
2.2.2 Event-triggering condition
2.2.3 Stability results
2.2.4 Illustrative examples
2.2.4.1 Controlled Lorenz model of fluid convection
2.2.4.2 Single-link robot arm model
2.3 Case studies
2.3.1 LTI systems
2.3.1.1 Analytical results
2.3.1.2 Illustrative example
2.3.2 State feedback controllers
2.3.2.1 Analytical results
2.3.2.2 Illustrative examples
2.4 Conclusion
3 Co-design for LTI systems
3.1 Hybrid model
3.2 Global asymptotic stabilization
3.3 Optimization problems
3.3.1 Enlarging the guaranteed minimum inter-transmission time
3.3.2 Reducing the amount of transmissions
3.4 Illustrative example
3.5 Conclusion
4 Singularly perturbed systems
4.1 Introduction
4.2 Approximate models
4.3 Hybrid model
4.4 Assumptions
4.5 Main results
4.5.1 A first observation
4.5.2 Semiglobal practical stabilization
4.5.3 Global asymptotic stabilization
4.6 Case studies
4.6.1 A class of globally Lipschitz systems
4.6.2 Application to LTI systems
4.7 Autopilot control of an F-8 aircraft
4.8 Conclusion
5 Conclusions
5.1 Conclusions
5.2 Contributions
5.3 Recommendations for future research
A Proofs of Chapter 4
A.1 Proof of Theorem 4.1
A.2 Proof of Theorem 4.2
B Mathematical review
B.1 Fundamental properties
B.2 Input-to-state stability
B.3 Hybrid dynamical systems
B.4 Miscellaneous
Bibliography
