New Necessary Conditions Of Optimality For Control Problems With State Variable Inequality Constraints
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New Necessary Conditions of Optimality for Control Problems with State-variable Inequality Constraints
Necessary conditions of optimality for state-variable inequality constrained problems are derived by examining the limiting behavior of the Kelley penalty function technique. The conditions so obtained differ from those presently known, with regard to the behavior of the adjoint variables at junctions of interior and boundary arcs. A second, rigorous, derivation is given; this confirms the necessary conditions obtained by the limiting argument. These conditions are related to those known earlier; in particular, it is shown that the earlier conditions over-specify the behavior of the adjoint variables at the junctions. An example is used to demonstrate that the earlier conditions may yield non-stationary trajectories. For the regular case, it is shown that, under certain conditions, only boundary points, as opposed to boundary arcs, are possible. An analytic example illustrates this behavior. (Author).
Control Applications of Nonlinear Programming and Optimization
Control Applications of Nonlinear Programming and Optimization presents the proceedings of the Fifth IFAC Workshop held in Capri, Italy on June 11-14, 1985. The book covers various aspects of the optimization of control systems and of the numerical solution of optimization problems. The text also discusses specific applications concerned with the optimization of aircraft trajectories, of mineral and metallurgical processes, of wind tunnels, and of nuclear reactors. The book also considers computer-aided design of control systems. The book is useful to mathematicians, engineers, and computer engineers.
Control and Dynamic Systems V16
Control and Dynamic Systems: Advances in Theory and Application, Volume 16 is concerned with applied dynamic systems control techniques. It describes various techniques for system modeling, which apply to several systems issues. This book presents a comprehensive treatment of powerful algorithmic techniques for solving dynamic-system optimization problems. It also describes approaches for systems model that apply to system issues such as time delays. The remaining chapters of this book explore the simulation of large closed-loop systems and optimization of low-order feedback controllers for discrete-time systems. Researchers who wish to broaden their understanding of dynamic systems control techniques will find this book invaluable.