Adaptive control of hyperbolic PDEs. ([2019])

• Record Type: Book
• Further Information: Note: Henrik Anfinsen, Ole Morten Aamo.
• Authors: Anfinsen, Henrik; Aamo, Ole Morten
• Contents: Intro; Preface; Acknowledgements; Contents; Part I Background; 1 Background; 1.1 Introduction; 1.2 Notation; 1.3 Linear Hyperbolic PDEs; 1.4 Classes of Linear Hyperbolic PDEs Considered; 1.4.1 Scalar Systems; 1.4.2 2times2 Systems; 1.4.3 n + 1 Systems; 1.4.4 n + m Systems; 1.5 Collocated Versus Anti-collocated Sensing and Control; 1.6 Stability of PDEs; 1.7 Some Useful Properties of Linear Hyperbolic PDEs; 1.8 Volterra Integral Transformations; 1.8.1 Time-Invariant Volterra Integral Transformations; 1.8.2 Time-Variant Volterra Integral Transformations 1.8.3 Affine Volterra Integral Transformations1.9 The Infinite-Dimensional Backstepping Technique for PDEs; 1.10 Approaches to Adaptive Control of PDEs; 1.10.1 Lyapunov Design; 1.10.2 Identifier-Based Design; 1.10.3 Swapping-Based Design; 1.10.4 Discussion of the Three Methods; References; Part II Scalar Systems; 2 Introduction; 2.1 System Equations; 2.2 Proof of Lemma2.1; References; 3 Non-adaptive Schemes; 3.1 Introduction; 3.2 State Feedback Controller; 3.2.1 Controller Design; 3.2.2 Explicit Controller Gains; 3.3 Boundary Observer; 3.4 Output Feedback Controller 3.5 Output Tracking Controller3.6 Simulations; 3.7 Notes; Reference; 4 Adaptive State-Feedback Controller; 4.1 Introduction; 4.2 Identifier-Based Design; 4.2.1 Identifier and Update Law; 4.2.2 Control Law; 4.2.3 Backstepping and Target System; 4.2.4 Proof of Theorem4.1; 4.3 Simulations; 4.4 Notes; Reference; 5 Adaptive Output-Feedback Controller; 5.1 Introduction; 5.2 Swapping-Based Design; 5.2.1 Filter Design and Non-adaptive State Estimates; 5.2.2 Adaptive Laws and State Estimation; 5.2.3 Control Law; 5.2.4 Backstepping and Target System; 5.2.5 Proof of Theorem5.1; 5.3 Simulations 5.4 NotesReferences; 6 Model Reference Adaptive Control; 6.1 Introduction; 6.2 Model Reference Adaptive Control; 6.2.1 Canonical Form; 6.2.2 Filter Design and Non-adaptive State Estimate; 6.2.3 Adaptive Laws and State Estimates; 6.2.4 Control Law; 6.2.5 Backstepping; 6.2.6 Proof of Theorem 6.1; 6.3 Adaptive Output Feedback Stabilization; 6.4 Simulation; 6.5 Notes; References; Part III 2 times2 Systems; 7 Introduction; References; 8 Non-adaptive Schemes; 8.1 Introduction; 8.2 State Feedback Controller; 8.3 State Observers; 8.3.1 Sensing Anti-collocated with Actuation 8.3.2 Sensing Collocated with Actuation8.4 Output Feedback Controllers; 8.4.1 Sensing Anti-collocated with Actuation; 8.4.2 Sensing Collocated with Actuation; 8.5 Output Tracking Controller; 8.6 Simulations; 8.7 Notes; References; 9 Adaptive State Feedback Controllers; 9.1 Introduction; 9.2 Identifier-Based Design for a System with Constant Coefficients; 9.2.1 Identifier and Adaptive Laws; 9.2.2 Control Law; 9.2.3 Backstepping Transformation; 9.2.4 Proof of Theorem 9.1; 9.3 Swapping-Based Design for a System with Spatially Varying Coefficients; 9.3.1 Filter Design; 9.3.2 Adaptive Laws
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Extent: 1 online resource
• Subjects: 629.8/36; Adaptive control systems; Differential equations, Hyperbolic; Differential equations, Partial; TECHNOLOGY & ENGINEERING / Engineering (General); Electronic books
• Languages: English
• ISBNs: 9783030058791; 3030058794
• Related ISBNs: 3030058786; 9783030058784
• Notes: Note: Description based on online resource; title from digital title page (viewed on March 28, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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