On the relationship between logarithmic sensitivity integrals and limiting optimal control problems
نویسندگان
چکیده
Two seemingly independent streams of control systems research have examined logarithmic sensitivity integrals and limiting linear quadratic optimal control problems. These apparently diverse problems yield some results with an identical right hand side. The main contribution of this paper is to directly explain the commonality between these streams. This explanation involves the use of Parseval’s theorem to derive tight inequality bounds between frequency domain logarithmic sensitivity integrals, and the achievable quadratic performance of a linear time invariant system.
منابع مشابه
The Relationships Between Anxiety Sensitivity, Irritability, Intrusive Thoughts and Sleep Problems in Patients With Generalized Anxiety Disorder
Objective: The present study aimed to investigate the relationships between anxiety sensitivity (AS), irritability and intrusive thoughts (IT) and sleep problems in patients diagnosed with generalized anxiety disorder (GAD). Methods: The study population consisted of all patients with GAD who referred to counseling and psychological centers in Isfahan, Iran, in 2015. A total of 49 patients wer...
متن کاملCombined Use of Sensitivity Analysis and Hybrid Wavelet-PSO- ANFIS to Improve Dynamic Performance of DFIG-Based Wind Generation
In the past few decades, increasing growth of wind power plants causes different problems for the power quality in the grid. Normal and transient impacts of these units on the power grid clearly indicate the need to improve the quality of the electricity generated by them in the design of such systems. Improving the efficiency of the large-scale wind system is dependent on the control parameter...
متن کاملThrust - Limited Optimal Three - Dimensional Spacecraft Trajectories
Several optimal three-dimensional orbital transfer problems are solved for thrust-limited spacecrafts using collocation and nonlinear programming techniques. The solutions for full nonlinear equations of motion are obtained where the integrals of the free Keplerian motion in three dimensions are utilized for coasting arcs. In order to limit the solution space, interior-point constraints are use...
متن کاملThe δ − sensitivity and
We provide optimal control laws by using tools from stochastic calculus of variations and the mathematical concept of δ−sensitivity. The analysis relies on logarithmic transformations of the value functions and the use of linearly solvable Partial Differential Equations(PDEs). We derive the corresponding optimal control as a function of the δ−sensitivity of the logarithmic transformation of the...
متن کاملA meshless method for optimal control problem of Volterra-Fredholm integral equations using multiquadratic radial basis functions
In this paper, a numerical method is proposed for solving optimal control problem of Volterra integral equations using radial basis functions (RBFs) for approximating unknown function. Actually, the method is based on interpolation by radial basis functions including multiquadrics (MQs), to determine the control vector and the corresponding state vector in linear dynamic system while minimizing...
متن کامل