'The book is highly recommended to students, practising structural engineers and to researchers who are interested in vibration control and active structures.' Zentralblatt MATH, 910 (1999) 'The book is written in a very easy and interesting style and has a good set of problems at the end of each chapter. This reviewer enjoyed reading the book and would recommend it for any graduate course on control of structures. This book occupies a unique place in the set of references in this important field.' Mechatronics, 10 (2000)

• 1 Introduction.- 1.1 Active versus passive.- 1.2 Smart materials and structures.- 1.3 Control strategies.- 1.4 The various steps of the design.- 1.5 Organization of the book.- 1.6 References.- 1.7 Problems.- 2 Some concepts of structural dynamics.- 2.1 Equation of motion of a discrete system.- 2.2 Vibration modes.- 2.3 Modal decomposition.- 2.4 Transfer function of collocated systems.- 2.5 Continuous structures.- 2.6 Guyan reduction.- 2.7 References.- 2.8 Problems.- 3 Actuators, piezoelectric materials, and active structures.- 3.1 Introduction.- 3.2 Proof-mass actuator.- 3.3 Reaction wheels and gyrostabilizers.- 3.4 Piezoelectric actuators.- 3.5 Passive damping with piezoceramics.- 3.6 Active cantilever beam.- 3.7 Active truss.- 3.8 Active plate with piezo strips.- 3.9 References.- 3.10 Problems.- 4 Collocated versus non-collocated control.- 4.1 Introduction.- 4.2 Pole-zero flipping.- 4.3 Collocated control.- 4.4 Non-collocated case.- 4.5 Notch filter.- 4.6 Pole-zero flipping in the structure.- 4.7 Effect on the Bode plots.- 4.8 Relation to the mode shapes.- 4.9 The role of damping.- 4.10 References.- 4.11 Problems.- 5 Active damping with collocated pairs.- 5.1 Introduction.- 5.2 Direct Velocity Feedback.- 5.3 Acceleration feedback.- 5.4 Positive Position Feedback.- 5.5 Integral Force Feedback.- 5.6 Remarks.- 5.7 References.- 5.8 Problems.- 6 State space approach.- 6.1 Introduction.- 6.2 State space description.- 6.3 System transfer function.- 6.4 Pole placement by state feedback.- 6.5 Linear Quadratic Regulator.- 6.6 Observer design.- 6.7 Kalman Filter.- 6.8 Reduced order observer.- 6.9 Separation principle.- 6.10 Transfer function of the compensator.- 6.11 References.- 6.12 Problems.- 7 Analysis and synthesis in the frequency domain.- 7.1 Gain and phase margins.- 7.2Nyquist criterion.- 7.3 Nichols chart.- 7.4 Feedback specification for SISO systems.- 7.5 Bode gain-phase relationships.- 7.6 The Bode Ideal Cutoff.- 7.7 Non-minimum phase systems.- 7.8 Usual compensators.- 7.9 References.- 7.10 Problems.- 8 Optimal control.- 8.1 Introduction.- 8.2 Quadratic integral.- 8.3 Deterministic LQR.- 8.4 Stochastic response to a white noise.- 8.5 Stochastic LQR.- 8.6 Asymptotic behaviour of the closed-loop.- 8.7 Prescribed degree of stability.- 8.8 Gain and phase margins of the LQR.- 8.9 Full state observer.- 8.10 Kalman-Bucy Filter (KBF).- 8.11 Linear Quadratic Gaussian (LQG).- 8.12 Duality.- 8.13 Spillover.- 8.14 Loop Transfer Recovery (LTR).- 8.15 Integral control with state feedback.- 8.16 Frequency shaping.- 8.17 References.- 8.18 Problems.- 9 Controllability and Observability.- 9.1 Introduction.- 9.2 Controllability and observability matrices.- 9.3 Examples.- 9.4 State transformation.- 9.5 PBH test.- 9.6 Residues.- 9.7 Example.- 9.8 Sensitivity.- 9.9 Controllability and observability Gramians.- 9.10 Relative controllability and observability.- 9.11 Model reduction.- 9.12 References.- 9.13 Problems.- 10 Stability.- 10.1 Introduction.- 10.2 Linear systems.- 10.3 Liapunov’s direct method.- 10.4 Liapunov functions for linear systems.- 10.5 Liapunov’s indirect method.- 10.6 An application to controller design.- 10.7 Energy absorbing controls.- 10.8 References.- 10.9 Problems.- 11 Applications.- 11.1 Digital implementation.- 11.2 Active damping of a truss structure.- 11.3 Active damping of a plate.- 11.4 Active damping of a stiff beam.- 11.5 The HAC/LAC strategy.- 11.6 Tendon control of cable structures.- 11.7 References.- 11.8 Problems.

'The book is highly recommended to students, practising structural engineers and to researchers who are interested in vibration control and active structures.' Zentralblatt MATH, 910 (1999) 'The book is written in a very easy and interesting style and has a good set of problems at the end of each chapter. This reviewer enjoyed reading the book and would recommend it for any graduate course on control of structures. This book occupies a unique place in the set of references in this important field.' Mechatronics, 10 (2000)

• 1 Introduction.- 1.1 Active versus passive.- 1.2 Smart materials and structures.- 1.3 Control strategies.- 1.4 The various steps of the design.- 1.5 Organization of the book.- 1.6 References.- 1.7 Problems.- 2 Some concepts of structural dynamics.- 2.1 Equation of motion of a discrete system.- 2.2 Vibration modes.- 2.3 Modal decomposition.- 2.4 Transfer function of collocated systems.- 2.5 Continuous structures.- 2.6 Guyan reduction.- 2.7 References.- 2.8 Problems.- 3 Actuators, piezoelectric materials, and active structures.- 3.1 Introduction.- 3.2 Proof-mass actuator.- 3.3 Reaction wheels and gyrostabilizers.- 3.4 Piezoelectric actuators.- 3.5 Passive damping with piezoceramics.- 3.6 Active cantilever beam.- 3.7 Active truss.- 3.8 Active plate with piezo strips.- 3.9 References.- 3.10 Problems.- 4 Collocated versus non-collocated control.- 4.1 Introduction.- 4.2 Pole-zero flipping.- 4.3 Collocated control.- 4.4 Non-collocated case.- 4.5 Notch filter.- 4.6 Pole-zero flipping in the structure.- 4.7 Effect on the Bode plots.- 4.8 Relation to the mode shapes.- 4.9 The role of damping.- 4.10 References.- 4.11 Problems.- 5 Active damping with collocated pairs.- 5.1 Introduction.- 5.2 Direct Velocity Feedback.- 5.3 Acceleration feedback.- 5.4 Positive Position Feedback.- 5.5 Integral Force Feedback.- 5.6 Remarks.- 5.7 References.- 5.8 Problems.- 6 State space approach.- 6.1 Introduction.- 6.2 State space description.- 6.3 System transfer function.- 6.4 Pole placement by state feedback.- 6.5 Linear Quadratic Regulator.- 6.6 Observer design.- 6.7 Kalman Filter.- 6.8 Reduced order observer.- 6.9 Separation principle.- 6.10 Transfer function of the compensator.- 6.11 References.- 6.12 Problems.- 7 Analysis and synthesis in the frequency domain.- 7.1 Gain and phase margins.- 7.2Nyquist criterion.- 7.3 Nichols chart.- 7.4 Feedback specification for SISO systems.- 7.5 Bode gain-phase relationships.- 7.6 The Bode Ideal Cutoff.- 7.7 Non-minimum phase systems.- 7.8 Usual compensators.- 7.9 References.- 7.10 Problems.- 8 Optimal control.- 8.1 Introduction.- 8.2 Quadratic integral.- 8.3 Deterministic LQR.- 8.4 Stochastic response to a white noise.- 8.5 Stochastic LQR.- 8.6 Asymptotic behaviour of the closed-loop.- 8.7 Prescribed degree of stability.- 8.8 Gain and phase margins of the LQR.- 8.9 Full state observer.- 8.10 Kalman-Bucy Filter (KBF).- 8.11 Linear Quadratic Gaussian (LQG).- 8.12 Duality.- 8.13 Spillover.- 8.14 Loop Transfer Recovery (LTR).- 8.15 Integral control with state feedback.- 8.16 Frequency shaping.- 8.17 References.- 8.18 Problems.- 9 Controllability and Observability.- 9.1 Introduction.- 9.2 Controllability and observability matrices.- 9.3 Examples.- 9.4 State transformation.- 9.5 PBH test.- 9.6 Residues.- 9.7 Example.- 9.8 Sensitivity.- 9.9 Controllability and observability Gramians.- 9.10 Relative controllability and observability.- 9.11 Model reduction.- 9.12 References.- 9.13 Problems.- 10 Stability.- 10.1 Introduction.- 10.2 Linear systems.- 10.3 Liapunov’s direct method.- 10.4 Liapunov functions for linear systems.- 10.5 Liapunov’s indirect method.- 10.6 An application to controller design.- 10.7 Energy absorbing controls.- 10.8 References.- 10.9 Problems.- 11 Applications.- 11.1 Digital implementation.- 11.2 Active damping of a truss structure.- 11.3 Active damping of a plate.- 11.4 Active damping of a stiff beam.- 11.5 The HAC/LAC strategy.- 11.6 Tendon control of cable structures.- 11.7 References.- 11.8 Problems.

'The book is highly recommended to students, practising structural engineers and to researchers who are interested in vibration control and active structures.' Zentralblatt MATH, 910 (1999) 'The book is written in a very easy and interesting style and has a good set of problems at the end of each chapter. This reviewer enjoyed reading the book and would recommend it for any graduate course on control of structures. This book occupies a unique place in the set of references in this important field.' Mechatronics, 10 (2000)

• 1 Introduction.- 1.1 Active versus passive.- 1.2 Smart materials and structures.- 1.3 Control strategies.- 1.4 The various steps of the design.- 1.5 Organization of the book.- 1.6 References.- 1.7 Problems.- 2 Some concepts of structural dynamics.- 2.1 Equation of motion of a discrete system.- 2.2 Vibration modes.- 2.3 Modal decomposition.- 2.4 Transfer function of collocated systems.- 2.5 Continuous structures.- 2.6 Guyan reduction.- 2.7 References.- 2.8 Problems.- 3 Actuators, piezoelectric materials, and active structures.- 3.1 Introduction.- 3.2 Proof-mass actuator.- 3.3 Reaction wheels and gyrostabilizers.- 3.4 Piezoelectric actuators.- 3.5 Passive damping with piezoceramics.- 3.6 Active cantilever beam.- 3.7 Active truss.- 3.8 Active plate with piezo strips.- 3.9 References.- 3.10 Problems.- 4 Collocated versus non-collocated control.- 4.1 Introduction.- 4.2 Pole-zero flipping.- 4.3 Collocated control.- 4.4 Non-collocated case.- 4.5 Notch filter.- 4.6 Pole-zero flipping in the structure.- 4.7 Effect on the Bode plots.- 4.8 Relation to the mode shapes.- 4.9 The role of damping.- 4.10 References.- 4.11 Problems.- 5 Active damping with collocated pairs.- 5.1 Introduction.- 5.2 Direct Velocity Feedback.- 5.3 Acceleration feedback.- 5.4 Positive Position Feedback.- 5.5 Integral Force Feedback.- 5.6 Remarks.- 5.7 References.- 5.8 Problems.- 6 State space approach.- 6.1 Introduction.- 6.2 State space description.- 6.3 System transfer function.- 6.4 Pole placement by state feedback.- 6.5 Linear Quadratic Regulator.- 6.6 Observer design.- 6.7 Kalman Filter.- 6.8 Reduced order observer.- 6.9 Separation principle.- 6.10 Transfer function of the compensator.- 6.11 References.- 6.12 Problems.- 7 Analysis and synthesis in the frequency domain.- 7.1 Gain and phase margins.- 7.2Nyquist criterion.- 7.3 Nichols chart.- 7.4 Feedback specification for SISO systems.- 7.5 Bode gain-phase relationships.- 7.6 The Bode Ideal Cutoff.- 7.7 Non-minimum phase systems.- 7.8 Usual compensators.- 7.9 References.- 7.10 Problems.- 8 Optimal control.- 8.1 Introduction.- 8.2 Quadratic integral.- 8.3 Deterministic LQR.- 8.4 Stochastic response to a white noise.- 8.5 Stochastic LQR.- 8.6 Asymptotic behaviour of the closed-loop.- 8.7 Prescribed degree of stability.- 8.8 Gain and phase margins of the LQR.- 8.9 Full state observer.- 8.10 Kalman-Bucy Filter (KBF).- 8.11 Linear Quadratic Gaussian (LQG).- 8.12 Duality.- 8.13 Spillover.- 8.14 Loop Transfer Recovery (LTR).- 8.15 Integral control with state feedback.- 8.16 Frequency shaping.- 8.17 References.- 8.18 Problems.- 9 Controllability and Observability.- 9.1 Introduction.- 9.2 Controllability and observability matrices.- 9.3 Examples.- 9.4 State transformation.- 9.5 PBH test.- 9.6 Residues.- 9.7 Example.- 9.8 Sensitivity.- 9.9 Controllability and observability Gramians.- 9.10 Relative controllability and observability.- 9.11 Model reduction.- 9.12 References.- 9.13 Problems.- 10 Stability.- 10.1 Introduction.- 10.2 Linear systems.- 10.3 Liapunov’s direct method.- 10.4 Liapunov functions for linear systems.- 10.5 Liapunov’s indirect method.- 10.6 An application to controller design.- 10.7 Energy absorbing controls.- 10.8 References.- 10.9 Problems.- 11 Applications.- 11.1 Digital implementation.- 11.2 Active damping of a truss structure.- 11.3 Active damping of a plate.- 11.4 Active damping of a stiff beam.- 11.5 The HAC/LAC strategy.- 11.6 Tendon control of cable structures.- 11.7 References.- 11.8 Problems.