Numerical Approaches to Optimal Control: Tackling Nonlinear Systems and Constraints
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Beschreibung
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 difficult 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.
Stuck with complex control problems? "Numerical Approaches to Optimal Control" tackles nonlinear systems and constraints with practical methods, making it your guide to finding optimal solutions.
Autor*in
Nama
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.
Themen in »Numerical Approaches to Optimal Control: Tackling Nonlinear Systems and Constraints«
Optimal Control Theory Numerical Optimization Nonlinear Systems Constraint Optimization Differential Equations Calculus of Variations Dynamic Programming Pontryagin's Minimum Principle Gradient-Based Optimization Mesh Generation (for numerical methods) Finite Difference Methods