Numerical Approaches to Optimal Control: Tackling Nonlinear Systems and Constraints

Nama (Autor)

Buch | Softcover

116 Seiten

2024
tredition (Verlag)
978-3-384-24223-5 (ISBN)

Infos

Optimal control has been widely applied to modern control systems design and has drawn great attention for decades. In the optimal control theory, the control problem is formulated as an optimization problem, and the control law is calculated by solv-ing the optimal control problem (OCP). Comparing with traditional control methods like PID control, optimal control is capable of providing an optimal control law in a systematic way. However, optimal control can achieve an analytic expression of the optimal control law only for some relatively simpler cases, for instance, unconstrained linear systems. Specifically, the optimal feedback control law for unconstrained linear systems with a quadratic cost function is in a simple linear form, and the optimal control gain is obtained by solving a Riccati equation. In practical systems, most of the physical plants are essentially nonlinear systems subject to physical constraints. For these cases, it is di cult to obtain an analytical solution to the optimal control problems. In order to find the optimum to an intractable optimization problem, ap-proximate solutions have to be taken into account.

Autor

Professor Dr. Nama, a leading South African economist with a distinguished career, brings her expertise to "SA: From Monopolies to Fair Competition." Dr. Nama has been at the forefront of research and analysis on competition policy in South Africa. Through her academic publications and dedicated work with government institutions, she has profoundly influenced the development and implementation of competition law in the country. Her insights have been instrumental in shaping a more competitive economic landscape for South Africa. Professor Dr. Nama's passion for economic justice is evident in her work. "SA: From Monopolies to Fair Competition" serves as a testament to her commitment to a thriving South African economy built on a foundation of fair competition.

Produkt-Details

• Erscheint lt. Verlag: 29.5.2024
• Verlagsort: mg roar
• Sprache: englisch
• Maße: 155 x 234 mm
• Gewicht: 207 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Schlagworte: Calculus of Variations • Constraint Optimization • Differential Equations • Dynamic Programming • finite difference methods • Gradient-Based Optimization • Mesh Generation (for numerical methods) • Nonlinear Systems • Numerical optimization • optimal control theory • Pontryagin's minimum principle
• ISBN-10: 3-384-24223-8 / 3384242238
• ISBN-13: 978-3-384-24223-5 / 9783384242235
• Zustand: Neuware