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This book presents the various design methods of a state-feedback control law and of an observer. The considered systems are of continuous-time and of discrete-time nature, monovariable or multivariable, the last ones being of main consideration. Three different approaches are described: - Linear design methods, with an emphasis on decoupling strategies, and a general formula for multivariable controller or observer design; - Quadratic optimization methods: Linear Quadratic Control (LQC), optimal Kalman filtering, Linear Quadratic Gaussian (LQG) control; - Linear matrix inequalities (LMIs) to solve linear and quadratic problems. The duality between control and observation is taken to advantage and extended up to the mathematical domain. A large number of exercises, all given with their detailed solutions, mostly obtained with MATLAB, reinforce and exemplify the practical orientation of this book. The programs, created by the author for their solving, are available on the Internet sites of Springer and of MathWorks for downloading. This book is targeted at students of Engineering Schools or Universities, at the Master's level, at engineers desiring to design and implement innovative control methods, and at researchers.
List of contents
1 State Space Control Design.- 2 Observer Theory.- 3 Optimal Control.- 4 Noisy Systems - Optimal Linear Filtering.- 5 Optimal Stochastic Control.- 6 Linear Matrix Inequalities.- Appendix A: State Space Representation of Systems.- Appendix B: Complements of Matrix Calculous.- Appendix C: Review of Probability Theory.- Appendix D: Simulation Diagrams.- Bibliography.- Index.
Summary
This book presents the various design methods of a state-feedback control law and of an observer. The considered systems are of continuous-time and of discrete-time nature, monovariable or multivariable, the last ones being of main consideration. Three different approaches are described: • Linear design methods, with an emphasis on decoupling strategies, and a general formula for multivariable controller or observer design; • Quadratic optimization methods: Linear Quadratic Control (LQC), optimal Kalman filtering, Linear Quadratic Gaussian (LQG) control; • Linear matrix inequalities (LMIs) to solve linear and quadratic problems. The duality between control and observation is taken to advantage and extended up to the mathematical domain. A large number of exercises, all given with their detailed solutions, mostly obtained with MATLAB, reinforce and exemplify the practical orientation of this book. The programs, created by the author for their solving, are available on the Internet sites of Springer and of MathWorks for downloading. This book is targeted at students of Engineering Schools or Universities, at the Master’s level, at engineers desiring to design and implement innovative control methods, and at researchers.
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From the reviews:
“This book covers topics of two important courses at the graduate level … and thus fulfills the need for a single course. … A very useful feature of this book is the collection of large number of solved exercises with detailed solutions … . Additional audience for this book comes from researchers working in industry and laboratories engaged in research, development and deployment (R&DD). Finally, this book is a welcome addition to the wealth of books on State Space and Linear Quadratic (LQ) methods.” (D. Subbaram Naidu, Amazon.com, May, 2013)
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From the reviews:
"This book covers topics of two important courses at the graduate level ... and thus fulfills the need for a single course. ... A very useful feature of this book is the collection of large number of solved exercises with detailed solutions ... . Additional audience for this book comes from researchers working in industry and laboratories engaged in research, development and deployment (R&DD). Finally, this book is a welcome addition to the wealth of books on State Space and Linear Quadratic (LQ) methods." (D. Subbaram Naidu, Amazon.com, May, 2013)
