Linear State-Space Control SystemsThe book blends readability and accessibility common to undergraduate control systems texts with the mathematical rigor necessary to form a solid theoretical foundation. Appendices cover linear algebra and provide a Matlab overivew and files. The reviewers pointed out that this is an ambitious project but one that will pay off because of the lack of good up-to-date textbooks in the area. |
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Having studied under both Professors Dr. Lawrence and Dr. Williams, I find this book to be very accessible as a reference after taken the appropriate modern control theory undergraduate and graduate classes. I would definitely recommend this book to any colleague with the appropriate background.
Contents
StateSpace Fundamentals | 48 |
Controllability | 108 |
Observability | 149 |
Minimal Realizations | 185 |
Stability | 198 |
Asymptotic Stability | 220 |
Design of Linear State Feedback Control Laws | 234 |
Observers and ObserverBased Compensators | 300 |
Appendix B Linear Algebra | 417 |
Subspaces | 419 |
Standard Basis | 421 |
Change of Basis | 422 |
Orthogonality and Orthogonal Complements | 424 |
Linear Transformations | 426 |
Range and Null Space | 430 |
Eigenvalues Eigenvectors and Related Topics | 435 |
Introduction to Optimal Control | 357 |
Appendix A Matrix Introduction | 407 |
Matrix Arithmetic | 409 |
Determinants | 412 |
Matrix Inversion | 414 |
Norms for Vectors and Matrices | 444 |
Continuing MATLAB Example mfile | 447 |
| 456 | |
| 459 | |
Common terms and phrases
algebraic associated asymptotically stable bounded-input bounded-output Bu(t canonical form realization Chapter characteristic polynomial closed-loop eigenvalues closed-loop state equation closed-loop system coefficient matrices columns Compute Continuing Example Continuing MATLAB Example control law design controllability matrix controller canonical form coordinate transformation damping ratio defined definition derive desired closed-loop desired eigenvalues diagonal canonical form differential equation eigenvalues eigenvector equation x(t equilibrium feedback control law first first-order given input signal linear quadratic regulator linear state equation linear time-invariant linear time-invariant system linearly independent Lyapunov Lyapunov stability MATLAB function matrix exponential minimal minimal realization multiple-input multiple-output nonsingular nonzero observer canonical form observer error observer gain observer-based compensator open-loop open-loop system pair A,B percent overshoot plot rank Riccati equation satisfies scalar second-order single-input single-output solution specified stability state-space realization step response system dynamics matrix system eigenvalues Theorem trajectory transfer function unit step response variables xi(t yields zero initial
Bibliographic information
| Title | Linear State-Space Control Systems |
| Authors | Robert L. Williams, II, Douglas A. Lawrence |
| Edition | illustrated |
| Publisher | John Wiley & Sons, 2007 |
| ISBN | 0471735558, 9780471735557 |
| Length | 480 pages |
| Subjects | › Technology & Engineering / Manufacturing Technology & Engineering / Mechanical |
| Export Citation | BiBTeX EndNote RefMan |