Ebook: Robust and H∞ Control

H-infinity control theory deals with the minimization of the H-infinity-norm of the transfer matrix from an exogenous disturbance to a pertinent controlled output of a given plant. Robust and H-infinity Control examines both the theoretical and practical aspects of H-infinity control from the angle of the structural properties of linear systems.

Constructive algorithms are provided for finding solutions to:

• general singular H-infinity control problems;

• general H-infinity almost disturbance decoupling problems;

• robust and perfect tracking problems.

Theories are also applied to real-life problems with actual implementations. This book can be used for graduate courses in departments of aeronautics and astronautics, applied mathematics, chemical engineering, electrical engineering and mechanical engineering. It should also be of great value to engineers practising in industry.

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H-infinity control theory deals with the minimization of the H-infinity-norm of the transfer matrix from an exogenous disturbance to a pertinent controlled output of a given plant. Robust and H-infinity Control examines both the theoretical and practical aspects of H-infinity control from the angle of the structural properties of linear systems.

Constructive algorithms are provided for finding solutions to:

• general singular H-infinity control problems;

• general H-infinity almost disturbance decoupling problems;

• robust and perfect tracking problems.

Theories are also applied to real-life problems with actual implementations. This book can be used for graduate courses in departments of aeronautics and astronautics, applied mathematics, chemical engineering, electrical engineering and mechanical engineering. It should also be of great value to engineers practising in industry.

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H-infinity control theory deals with the minimization of the H-infinity-norm of the transfer matrix from an exogenous disturbance to a pertinent controlled output of a given plant. Robust and H-infinity Control examines both the theoretical and practical aspects of H-infinity control from the angle of the structural properties of linear systems.

Constructive algorithms are provided for finding solutions to:

• general singular H-infinity control problems;

• general H-infinity almost disturbance decoupling problems;

• robust and perfect tracking problems.

Theories are also applied to real-life problems with actual implementations. This book can be used for graduate courses in departments of aeronautics and astronautics, applied mathematics, chemical engineering, electrical engineering and mechanical engineering. It should also be of great value to engineers practising in industry.

Content:
Front Matter....Pages i-xii
Introduction....Pages 1-18
Linear System Tools....Pages 19-56
Structural Mappings of Bilinear Transformations....Pages 57-82
Existence Conditions of H ? Suboptimal Controllers....Pages 83-93
Solutions to Discrete-time Riccati Equations....Pages 95-109
Infima in Continuous-time H ? Optimization....Pages 111-142
Solutions to Continuous-time H ? Problem....Pages 143-175
Continuous-time H ? Almost Disturbance Decoupling....Pages 177-214
Robust and Perfect Tracking of Continuous-time Systems....Pages 215-248
Infima in Discrete-time H ? Optimization....Pages 249-267
Solutions to Discrete-time H ? Problem....Pages 269-286
Discrete-time H ? Almost Disturbance Decoupling....Pages 287-337
Robust and Perfect Tracking of Discrete-time Systems....Pages 339-362
Design of a Hard Disk Drive Servo System....Pages 363-380
Design of a Piezoelectric Actuator System....Pages 381-405
Design of a Gyro-stabilized Mirror Targeting System....Pages 407-428
Back Matter....Pages 429-446

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H-infinity control theory deals with the minimization of the H-infinity-norm of the transfer matrix from an exogenous disturbance to a pertinent controlled output of a given plant. Robust and H-infinity Control examines both the theoretical and practical aspects of H-infinity control from the angle of the structural properties of linear systems.

Constructive algorithms are provided for finding solutions to:

• general singular H-infinity control problems;

• general H-infinity almost disturbance decoupling problems;

• robust and perfect tracking problems.

Theories are also applied to real-life problems with actual implementations. This book can be used for graduate courses in departments of aeronautics and astronautics, applied mathematics, chemical engineering, electrical engineering and mechanical engineering. It should also be of great value to engineers practising in industry.

Content:
Front Matter....Pages i-xii
Introduction....Pages 1-18
Linear System Tools....Pages 19-56
Structural Mappings of Bilinear Transformations....Pages 57-82
Existence Conditions of H ? Suboptimal Controllers....Pages 83-93
Solutions to Discrete-time Riccati Equations....Pages 95-109
Infima in Continuous-time H ? Optimization....Pages 111-142
Solutions to Continuous-time H ? Problem....Pages 143-175
Continuous-time H ? Almost Disturbance Decoupling....Pages 177-214
Robust and Perfect Tracking of Continuous-time Systems....Pages 215-248
Infima in Discrete-time H ? Optimization....Pages 249-267
Solutions to Discrete-time H ? Problem....Pages 269-286
Discrete-time H ? Almost Disturbance Decoupling....Pages 287-337
Robust and Perfect Tracking of Discrete-time Systems....Pages 339-362
Design of a Hard Disk Drive Servo System....Pages 363-380
Design of a Piezoelectric Actuator System....Pages 381-405
Design of a Gyro-stabilized Mirror Targeting System....Pages 407-428
Back Matter....Pages 429-446
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