TY  - BOOK
AU  - Green,Michael
AU  - Limebeer,David J.N.
TI  - Linear robust control
SN  - 9780486488363
AV  - TJ213 .G755 2012
PY  - 2012///
CY  - Mineola, N.Y.
PB  - Dover Publications, Incorporated
KW  - Linear control systems
KW  - Linear systems
N1  - Originally published: Englewood Cliffs, N.J. : Prentice Hall, c1995; Includes bibliographical references (pages 507-523) and index; Contents; Preface; 1 Introduction; 1.1 Goals and origins of H optimal control; 1.2 Optimizing the command response; 1.3 Optimal disturbance attenuation; 1.3.1 Internal stability theory for stable plants; 1.3.2 Solution of the disturbance attenuation problem; 1.4 A robust stability problem; 1.5 Concluding comments and references; 1.6 Problems; 2 Multivariable Frequency Response Design; 2.1 Introduction; 2.2 Singular values; 2.2.1 The singular value decomposition; 2.2.2 Singular value inequalities; 2.3 Singular values and the sensitivity operator. 2.4 Robust stability analysis2.4.1 A Nyquist stability theorem; 2.4.2 Additive model error; 2.4.3 Multiplicative model error; 2.4.4 Examples; 2.5 Performance analysis and enhancement; 2.5.1 Disturbance attenuation; 2.5.2 Tracking; 2.5.3 Sensor errors; 2.5.4 The control signal; 2.5.5 Robust performance; 2.5.6 Analytic limits on performance; 2.6 Example; 2.7 Notes and References; 2.8 Problems; 3 Signals and Systems; 3.1 Signals; 3.1.1 The size of signals; 3.1.2 Signals in the frequency domain; 3.2 Systems; 3.2.1 Linear systems; 3.2.2 The space L; 3.2.3 The space H; 3.2.4 Adjoint systems. 3.2.5 Allpass systems3.3 The size of a system; 3.3.1 The incremental gain; 3.3.2 The induced norm; 3.3.3 The 2-norm of a system; 3.4 The small gain theorem; 3.5 Loop transformation; 3.5.1 Multipliers or weights; 3.5.2 Linear shift; 3.5.3 Passivity; 3.6 Robust stability revisited; 3.7 The bounded real lemma; 3.7.1 An algebraic proof; 3.7.2 An optimal control proof; 3.8 Notes and References; 3.9 Problems; 4 Linear Fractional Transformations; 4.1 Introduction; 4.1.1 The composition formula; 4.1.2 Interconnections of state-space LFTs; 4.2 LFTs in controller synthesis. 4.2.1 The generalized regulator problem4.2.2 The full-information problem; 4.3 Contractive LFTs; 4.3.1 Constant matrix case; 4.3.2 Dynamic matrix case; 4.4 Minimizing the norm of constant LFTs; 4.5 Simplifying constant LFTs; 4.6 Simplifying the generalized plant; 4.7 Notes and References; 4.8 Problems; 5 LQG Control; 5.1 Introduction; 5.2 Full information; 5.2.1 The finite-horizon case; 5.2.2 The infinite-horizon case; 5.2.3 Inclusion of cross terms; 5.3 The Kalman filter; 5.3.1 The finite-horizon case; 5.3.2 The infinite-horizon case; 5.4 Measurement feedback; 5.4.1 The finite-horizon case. 5.4.2 The infinite-horizon case5.5 Notes and References; 5.6 Problems; 6 Full-Information H Controller Synthesis; 6.1 Introduction; 6.2 The finite-horizon case; 6.2.1 Connection to differential games; 6.2.2 First-order necessary conditions; 6.2.3 The Riccati equation; 6.2.4 Sufficiency: completing the square; 6.2.5 Necessity; 6.2.6 All closed-loop systems; 6.2.7 All controllers; 6.3 The infinite-horizon case; 6.3.1 Preliminary observations; 6.3.2 Sufficiency; 6.3.3 A monotonicity property; 6.3.4 Assumptions; 6.3.5 Necessity; 6.3.6 All controllers; 6.4 Notes and References; 6.5 Problems
N2  - "Recent years have witnessed enormous strides in the field of robust control of dynamical systems-- unfortunately, many of these developments have only been accessible to a small group of experts. In this text for students and control engineers, the authors examines all of these advances, providing an in-depth and exhaustive examination of modern optimal and robust control. "--Provided by publisher
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