## Linear Control Systems: With solved problems and MATLAB examplesAnyone seeking a gentle introduction to the methods of modern control theory and engineering, written at the level of a first-year graduate course, should consider this book seriously. It contains: - A generous historical overview of automatic control, from Ancient Greece to the 1970s, when this discipline matured into an essential field for electrical, mechanical, aerospace, chemical, and biomedical engineers, as well as mathematicians, and more recently, computer scientists;
- A balanced presentation of the relevant theory: the main state-space methods for description, analysis, and design of linear control systems are derived, without overwhelming theoretical arguments;
- Over 250 solved and exercise problems for both continuous- and discrete-time systems, often including MATLAB simulations; and
- Appendixes on MATLAB, advanced matrix theory, and the history of mathematical tools such as differential calculus, transform methods, and linear algebra.
Another noteworthy feature is the frequent use of an inverted pendulum on a cart to illustrate the most important concepts of automatic control, such as: - Linearization and discretization;
- Stability, controllability, and observability;
- State feedback, controller design, and optimal control; and
- Observer design, reduced order observers, and Kalman filtering.
Most of the problems are given with solutions or MATLAB simulations. Whether the book is used as a textbook or as a self-study guide, the knowledge gained from it will be an excellent platform for students and practising engineers to explore further the recent developments and applications of control theory. |

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### Contents

Modern control theory | 23 |

Continuous linear systems | 73 |

Discrete linear systems | 207 |

Exercise problems | 273 |

A A quick introduction to MATLAB | 289 |

B Mathematical preliminaries | 305 |

Results from advanced matrix theory | 325 |

371 | |

### Other editions - View all

Linear Control Systems: With solved problems and MATLAB examples Branislav Kisačanin,Gyan C. Agarwal No preview available - 2012 |

### Common terms and phrases

ac(t aſk aſs assume asymptotically stable BIBO stability Buſt calculate characteristic equation characteristic polynomial closed-loop system coefficients Consider continuous-time system control theory controllability and observability controller form controller realization defined derive det(A det(C det(XI determine diagonal difference equations differential equation discrete-time systems distinct eigenvalues eigenvalues estimation example Figure frequency hence Hermitian Hurwitz impulse response initial conditions inverted pendulum Kalman filter Laplace transform Lyapunov equation Lyapunov stability MATLAB MATLAB commands matrix minimal n x n negative noise nonsingular notation Note Nyquist observer form obtained optimal control origin output plot poles positive definite symmetric positive semi-definite Problem proof properties prove quadratic form real symmetric realization of H(s recursion result Riccati equation Section sense of Lyapunov similarity transformation Solution solve state-space symmetric matrix system given system is controllable theorem transfer function unstable uſk variables vſk write xdot ylabel z-transform zero