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Nonlinear Control Systems: An Introduction
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This chapter discusses the development of Geometric Theory of State Feedback for Multi-Input Multi-Output Systems and its applications in control systems.Abstract:
Contents: Local Decompositions of Control Systems.- Global Decompositions of Control Systems.- Input-Output Maps and Realization Theory.- Elementary Theory of Nonlinear Feedback for Single-Input Single-Output Systems.- Elementary Theory of Nonlinear Feedback for Multi-Input Multi-Output Systems.- Geometric Theory of State Feedback: Tools.- Geometric Theory of State Feedback: Applications.- Appendix A.- Appendix B.- Bibliographical Notes.- References.- Subject Index.read more
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Journal ArticleDOI
Coordinating feedback and switching for control of hybrid nonlinear processes
TL;DR: In this paper, a robust hybrid control strategy for a broad class of hybrid nonlinear processes with actuator constraints and uncertain dynamics is proposed, which is predicated on the idea of coordinating the hierarchical tasks of lower-level feedback-controller synthesis and upper-level switching logic design.
Journal ArticleDOI
Sliding regimes in general non-linear systems: a relative degree approach
TL;DR: In this paper, the problem of inducing local sliding regimes on non-linear smooth surfaces defined in the state space of general nonlinear controlled systems is treated and a suitable notion of relative degree is found to be of crucial importance in establishing the most salient properties of nonlinear systems undergoing sliding motion.
Control-Lyapunov Universal Formulas for Restricted Inputs
Yuandan Lin,Eduardo D. Sontag +1 more
TL;DR: In this paper, the authors deal with the problem of obtaining explicit feedback control laws that stabilize a nonlinear system, under the assumption that a control Lyapunov function is known.
Journal ArticleDOI
The effect of lumping and expanding on kinetic differential equations
TL;DR: The main concern here is how lumping changes those properties of the solutions which are either interesting from the point of view of the qualitative theory of differential equations or from the vantage point of a complex chemical reaction.
Proceedings Article
Robust feedback linearization and gh∞ controller for a quadrotor unmanned aerial vehicle
TL;DR: A mixed robust feedback linearization with linear GH1 controller is applied to a nonlinear quadrotor unmanned aerial vehicle to analyse the worst case of control law design and shows that the overall system becomes robust when weighting functions are chosen judiciously.