Optimal Control SystemsCRC Press, 27 ago 2002 - 464 páginas The theory of optimal control systems has grown and flourished since the 1960's. Many texts, written on varying levels of sophistication, have been published on the subject. Yet even those purportedly designed for beginners in the field are often riddled with complex theorems, and many treatments fail to include topics that are essential to a thorough grounding in the various aspects of and approaches to optimal control. Optimal Control Systems provides a comprehensive but accessible treatment of the subject with just the right degree of mathematical rigor to be complete but practical. It provides a solid bridge between "traditional" optimization using the calculus of variations and what is called "modern" optimal control. It also treats both continuous-time and discrete-time optimal control systems, giving students a firm grasp on both methods. Among this book's most outstanding features is a summary table that accompanies each topic or problem and includes a statement of the problem with a step-by-step solution. Students will also gain valuable experience in using industry-standard MATLAB and SIMULINK software, including the Control System and Symbolic Math Toolboxes. Diverse applications across fields from power engineering to medicine make a foundation in optimal control systems an essential part of an engineer's background. This clear, streamlined presentation is ideal for a graduate level course on control systems and as a quick reference for working engineers. |
Índice
Introduction | 1 |
Pontryagin Minimum Principle | 6 |
Calculus of Variations and Optimal Control | 19 |
tional J | 24 |
19 | 62 |
FixedFinal State System b FreeFinal Time and Fixed | 66 |
57 | 72 |
Linear Quadratic Optimal Control Systems I | 101 |
Constrained Optimal Control Systems | 293 |
Constraints | 328 |
Penalty Function Method | 352 |
Vectors and Matrices | 365 |
State Space Analysis | 379 |
MATLAB Files | 385 |
| 415 | |
| 425 | |
Linear Quadratic Optimal Control Systems II | 151 |
DiscreteTime Optimal Control Systems | 191 |
Otras ediciones - Ver todo
Términos y frases comunes
analytical solution boundary conditions Bu(t calculus of variations Chapter closed-loop optimal control Consider constraint control law control system described cost function costate equations Costate System defined differential equations differential Riccati equation du(t dx(t dynamic programming eigenvalues Euler-Lagrange equation Example extrema F(tf final condition final time tf find the closed-loop find the optimal fixed-final formulation free-final fuel-optimal control Hamiltonian hence increment initial condition k=ko Kalman Lagrange multiplier Lagrangian Let us note Linear Quadratic Regulator loop optimal MATLAB matrix differential Riccati matrix DRE minimize minimum nonlinear Nyquist plot Obtain the optimal open-loop optimal control optimal condition optimal control system optimal control u*(t optimal cost optimum output P(tf performance index Phase Plane plant plot positive definite matrix Procedure Summary Riccati Coefficients rt f scalar shown in Figure Step symmetric symmetric matrix t)dt time-invariant trajectory variables vector x(kf x(ko x(tf x(to zero Ән ди дх ᏭᏝ
Pasajes populares
Página 417 - WF DENHAM and AE BRYSON Jr., Optimal Programming Problems with Inequality Constraints. II: Solution by Steepest- Ascent.
Referencias a este libro
Control Perspectives on Numerical Algorithms and Matrix Problems Amit Bhaya,Eugenius Kaszkurewicz No hay ninguna vista previa disponible - 2006 |
