Formal Methods for Control of Nonlinear Systems

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Formal Methods for Control of Nonlinear Systems

Li, Yinan/ Liu, Jun

ウェブストア価格 ¥27,104（本体¥24,640）
Chapman & Hall/CRC（2022/12発売）
外貨定価 US$ 125.00
ポイント 246pt

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製本 Hardcover:ハードカバー版／ページ数 254 p.
言語 ENG
商品コード 9780367219994
DDC分類 629.836

Full Description

Formal methods is a field of computer science that emphasizes the use of rigorous mathematical techniques for verification and design of hardware and software systems. Analysis and design of nonlinear control design plays an important role across many disciplines of engineering and applied sciences, ranging from the control of an aircraft engine to the design of genetic circuits in synthetic biology.

While linear control is a well-established subject, analysis and design of nonlinear control systems remains a challenging topic due to some of the fundamental difficulties caused by nonlinearity. Formal Methods for Control of Nonlinear Systems provides a unified computational approach to analysis and design of nonlinear systems.

Features

Constructive approach to nonlinear control.
Rigorous specifications and validated computation.
Suitable for graduate students and researchers who are interested in learning how formal methods and validated computation can be combined together to tackle nonlinear control problems with complex specifications from an algorithmic perspective.
Combines mathematical rigor with practical applications.

1. Continuous-Time Dynamical Systems. 1.1. Continuous-Time Control System. 1.2. Existence of Local and Global Solutions. 1.3. Stability and Boundedness. 1.4. Safety and Reachability. 1.5. Control Lyapunov Functions. 1.6. Summary. 2. Discrete-Time Dynamical Systems. 2.1. Discrete-Time Control Systems. 2.2. Stability and Boundedness. 2.3. Safety and Reachability. 2.4. Summary. 3. Formal Specifications and Discrete Synthesis. 3.1. Transition Systems. 3.2. Linear-Time Properties. 3.3. Linear Temporal Logic. 3.4. ω-Regular Properties. 3.5. Formulation of Control Problems. 3.6. Discrete Synthesis. 3.7. Summary. 4. Interval Computation. 4.1. Interval Analysis 4.2. Interval Over-Approximations of One-Step Forward Reachable Sets of Discrete-Time Systems. 4.3. Interval Over-Approximations of One-Step Forward Reachable Sets of Continuous-Time Systems. 4.4. Interval Under-approximations of Controlled Predecessors of Discrete-Time Systems. 4.5. Interval Under-approximations of Controlled Predecessors of Continuous-Time Systems. 4.6. Summary. 5. Controller Synthesis via Finite Abstractions. 5.1. Control Abstractions. 5.2. Soundness. 5.3. Completeness via Robustness. 5.4. Extension to Continuous-Time Dynamical Systems. 5.5. Summary. 6. Specification-Guided Controller Synthesis via Direct Interval Computation. 6.1. Discrete-Time Dynamical Systems. 6.2. Properties of Controlled Predecessors. 6.3. Invariance Control. 6.4. Reachability Control. 6.5. Reach-and-Stay Control. 6.6. Temporal Logic Specifications. 6.7. Extension to Continuous-Time Dynamical Systems. 6.8. Complexity Analysis. 6.9. Summary. 7. Applications and Case Studies. 7.1. DC-DC Boost Converter. 7.2. Estimation of Domains-of-Attraction. 7.3. Control of the Moore-Greitzer Engine. 7.4. Mobile Robot Motion Planning. 7.5. Online Obstacle Avoidance. 7.6. Robotic Manipulator. 7.7. Bipedal Locomotion. 7.8. Summary.