S-variable approach to LMI-based robust control. ([2014])

• Record Type: Book
• Further Information: Note: Yoshio Ebihara, Dimitri Peaucelle, Denis Arzelier.
• Authors: Ebihara, Yoshio; Peaucelle, Dimitri; Arzelier, Denis
• Contents: Preface; Acknowledgments; Contents; Notations; 1 Introduction; 1.1 On the Origin and History of S-Variable Approach; 1.2 On the Denomination S-Variable LMI; 1.3 Other Denominations Used in Existing Literature; 1.4 Overview of Selected Topics; References; 2 Robust Performance Analysis of LTI Systems; 2.1 Introduction; 2.2 Robust Stability Analysis of Uncertain LTI Systems; 2.3 Robust Stability Analysis Using S-Variable Approach; 2.4 Lemmas for SV-LMI Derivation; 2.5 SV-LMI Results for Robust Performance Analysis Problems; 2.5.1 Robust Regional Pole Location Analysis. 2.5.2 Robust H2 Performance Analysis2.5.3 Robust Hinfty Performance Analysis; 2.5.4 Robust Impulse-To-Peak Performance Analysis; 2.6 Numerical Examples; 2.6.1 Quarter-Car Suspension Example; 2.6.2 Stability of Randomly Generated Examples; 2.7 Conclusions; References; 3 Descriptor Case and System Augmentation; 3.1 Robust Stability of Systems in Descriptor Form; 3.1.1 Systems in Descriptor Form; 3.1.2 Stability; 3.1.3 Uncertain Descriptor Systems; 3.1.4 S-Variable Results for Robust Stability; 3.1.5 Performances; 3.2 Reducing Size of SV-LMIs; 3.2.1 Removing Parameter Independent Rows. 3.2.2 Removing Some Parameter Independent Columns3.3 System Augmentation and Conservatism Reduction; 3.3.1 Source of Conservatism; 3.3.2 Preliminary Discussions About Conservatism Reduction; 3.3.3 Robust Stability; 3.3.4 Regional Finite Pole Location; 3.3.5 L2-induced Norm Performance; 3.4 Exactness Verification; 3.5 Numerical Examples; 3.5.1 Quarter-Car Suspension Example; 3.5.2 Randomly Generated Examples; 3.5.3 Satellite Example; 3.6 Conclusion; References; 4 Robust State-Feedback Synthesis for LTI Systems; 4.1 Introduction; 4.2 Preliminaries; 4.3 Stabilization of Discrete-Time Systems. 4.3.1 Recursive and Variational Representations4.3.2 LMIs for Stabilization; 4.3.3 More LMIs Parameterized by Schur Stable Matrices; 4.3.4 Conclusions on the State-Feedback Stabilization of Discrete-Time Systems; 4.4 The Continuous-Time Case; 4.4.1 LMIs Parameterized by Hurwitz Stable Matrices; 4.4.2 An Unsolved Issue; 4.5 Pole Location in Subregions of the Complex Plane; 4.5.1 The Multiperformance Pole Location Problem; 4.5.2 LMIs Parameterized by a Matrix Pencil; 4.5.3 LMIs for Pole Location in Convex Regions; 4.5.4 Pole Location in Intersections of Regions; 4.5.5 Heuristic Algorithms. 4.6 Numerical Examples on Quarter-Car Suspension Model4.6.1 Intersection of Interiors of Two Discs; 4.6.2 Intersection of the Interior of a Disc and Exterior of Another; 4.6.3 Intersection of a Disc and of a Half Plane; 4.7 Conclusion; References; 5 Multiobjective Controller Synthesis for LTI Systems; 5.1 Introduction; 5.2 Multiobjective Controller Synthesis for Discrete-Time LTI Systems; 5.3 Basic Results for Discrete-Time System Analysis; 5.4 State-Feedback Multiobjective H2/Hinfty Controller Synthesis; 5.5 Output-Feedback Multiobjective H2/Hinfty Controller Synthesis.
• Publisher Details: London : Springer
• Publication Date: 2014
• Copyright Date: 2015
• Extent: 1 online resource (xvii, 246 pages), illustrations (some color)
• Subjects: 629.8/312; Engineering; Robust control; TECHNOLOGY & ENGINEERING -- Engineering (General); Robust control; Mechanical Engineering; Engineering & Applied Sciences; Mechanical Engineering - General; Science -- System Theory; Mathematics -- Applied; Cybernetics & systems theory; Optimization; Systems theory; Mathematical optimization; Technology & Engineering -- Automation; Automatic control engineering; Electronic books
• Languages: English
• ISBNs: 9781447166061; 1447166051; 9781447166054
• Related ISBNs: 144716606X; 9781447166054
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed November 6, 2014).
• 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).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.