Piezoelectric smart structure active vibration control methods and techniques is an interdisciplinary forefront research topic， which is involved in advanced materials， control theory， mechanical analysis， mathematical modeling， scientific computing， experimental technology， et al. And it has important scientific and academic significance and project application value.
　　Smart structure represents a brand new developing direction of Material & Structure Science in 21st century. Especially in active vibration control engineering， it has now become a research hotspot in vibration engineering. In particular， it has inspiring prospects in vibration active control and becomes a focus of research on vibration engineering. Active vibration suppress smart structure forms an important researching content on Smart Materials and Structures， and it detects the structural vibration level using embedded sensors. Based on detecting result， it can control the embedded actuators to change the structural vibration state， which will achieve the aim of attenuating structural vibration response adaptively. It is beneficial to raise the structural safety and prolong its life. This research has widespread applications in the areas of aeronautics， astronautics， the defense industry and other civilian areas.
　　In the field of active vibration control， the research of control methods is a very important aspect; an important development direction of the current piezoelectric smart structure research in the field of active damping is the research on adaptive control strategy. Adaptive Filtering feed forward control method has been achieving good results in the test. The basic idea of this approach is： first establishes the mathematical model of controlled structure and controller in the form of the filter， then determines model parameters of controlled structural systems， achieves optimal controller parameters using digital signal processing technology， and adaptive control algorithm is the core. It adjusts parameters of the controller according to the new information， to guarantee optimal control results.

　　This book discussed common methods of vibration control technology and recent progress， which is divided into eight chapters. The first chapter introduced the development status and the present key technologies of piezoelectric smart structure vibration control. The second chapter focused on Piezoelectric Smart Structure Dynanucs using traveling wave method. The third chapter introduced the location optimized problems of piezoelectric sensor/actuator for Piezoelectric Intelligent Structure. The fourth chapter described the principle of adaptive filter and LMS algorithm. The fifth chapter studied fiher-X adaptive control algorithm for active vibration control. Chapter six presented the Multiple Input Multiple Output Random Disturbance Control. Chapter seven introduced optimal control strategy for Multi-Input Muhi-Output ( MIMO) systems. Chapter eight presented the building of intelligent structural vibration control platform， experiments were analyzed for structural vibration control methods studied in this book.
　　The book is referred to vast scientific and technological personnel working on control science and engineering， aerospace engineering， manufacturing and automation， materials science and engineering， it can be used as a study book for the graduate and senior undergraduate in the above profession.

Foreword
Chapter 1 Introduction of Vibration Control for Smart Structure
1．1 Introduction
1．2 Research Status of Smart Material Structure
1．3 Advances of Active Vibration in Intelligent Structure
1．4 Overview of Piezoelectric Smart Structure Active Damping
1．5 Progress and Status of Adaptive Feedforward Control before Filtering

Chapter 2 Dynanuc Analysis of Piezoelectric Smart Structure
2．1 Overview of dynamic Modeling of Piezoelectric Smart Structures
2．2 Piezoelectric Actuation Principle
2．3 Piezoelectric Intelligent Beam Dynamics
2．4 Kinetic Analysis of Piezoelectric Intelligent Frame Structure
2．5 Summary

Chapter 3 Optimal Configuration of Piezoelectric Actuator and Sensor
3．1 Introduction
3．2 The Application of Genetic Algorithm in Optimal Placement of Sensors and Actuators
3．3 Optimization of the Objective Function
3．4 Sensor Actuator Optimal Configuration
3．5 Optimal Configuration of Piezoelectric Sensor Actuator

Chapter 4 Adaptive Filter Control Strategies
4．1 Feedback Control Strategies
4．2 Feedforward Control Strategies
4．3 The Basic Principle of Adaptive Filter
4．4 Least Mean Square Algorithm
4．5 Discuss the Convergence Condition

Chapter 5 Filter-XLMS Adaptive Filter Control Algorithm
5．1 FXLMS Algorithm Overview
5．2 FXLMS Algorithm Flow Analysis
5．3 Simulation Experiment and Analysis

Chapter 6 Multiple Input Multiple Output Random Disturbance Control
6．1 Optimal Control of Random Disturbance
6．2 Adaptive Control of Random Disturbance
6．3 Fast Exact Filtered Reference Approach
6．4 A Short Comparison of Adaptive Schemas

Chapter 7 Optimal Control for Flexible Structure
7．1 Introduction
7．2 Quadraticlntegral
7．3 Deterministic LQR
7．4 Stochastic Response to A White Noise
7．5 Stochastic LQR
7．6 Asymptotic Behavior of the Closed-Loop
7．7 Prescribed Degree of Stability
7．8 Gain and Phase Margins of the LQR
7．9 Full State Observer7．10 Kalman-Bucy Filter (KBF)
7．11 Linear Quadratic Caussian (LQG)
7．12 Duality
7．13 Spillover
7．14 Loop Transfer Recovery (LTR)
7．15 Integral Control with State Feedback
7．16 Frequency Shaping

Chapter 8 Construction of Testing Platform and Experimental Analysis
8．1 Large Flexible Plate Tectonic Model and Finite Element Analysis
8．2 Arrangement of Sensor/Drive Network
8．3 Adaptive Active Vibration Control System
8．4 Numerical Simulation and Experimental Results
8．5 Experiment Validation and Analysis
References