Comparison Methods In Control (George Bitsoris)

Comparison Methods In Control (George Bitsoris)

English | 2025 | ISBN-10: 3031762193 | 503 pages| Epub PDF (True) | 41 MB 1600617573

Catergory: Business, Nonfiction

This book presents the theoretical foundations of the comparison approach and demonstrates how this method can be used for the development of techniques for the analysis and design of control systems in the state-space domain. It provides a framework for using the comparison approach to solve fundamental analysis and design problems of control systems, including invariance and contractivity, stability analysis and constrained control.
Within this framework, the book shows the reader that the invariance of sets represented by sublevel subsets, the control-invariant regions, the stability properties and the design of constrained controllers for both continuous-time and discrete-time systems can be investigated using comparison systems. The dual approach of analysis and design, based on the representation of state-space regions in terms of a number of generators and a generating function, is developed. Polyhedral invariant sets, polyhedral control invariance, stability analysis using polyhedral Lyapunov functions and constrained control under linear constraints are also investigated.

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