Journal ArticleDOI
Optimal Control Systems
Reads0
Chats0
TLDR
This book discusses Classical and Modern Control Optimization Optimal Control Historical Tour, Variational Calculus for Discrete-Time Systems, and more.Abstract:
INTRODUCTION Classical and Modern Control Optimization Optimal Control Historical Tour About This Book Chapter Overview Problems CALCULUS OF VARIATIONS AND OPTIMAL CONTROL Basic Concepts Optimum of a Function and a Functional The Basic Variational Problem The Second Variation Extrema of Functions with Conditions Extrema of Functionals with Conditions Variational Approach to Optimal Systems Summary of Variational Approach Problems LINEAR QUADRATIC OPTIMAL CONTROL SYSTEMS I Problem Formulation Finite-Time Linear Quadratic Regulator Analytical Solution to the Matrix Differential Riccati Equation Infinite-Time LQR System I Infinite-Time LQR System II Problems LINEAR QUADRATIC OPTIMAL CONTROL SYSTEMS II Linear Quadratic Tracking System: Finite-Time Case LQT System: Infinite-Time Case Fixed-End-Point Regulator System Frequency-Domain Interpretation Problems DISCRETE-TIME OPTIMAL CONTROL SYSTEMS Variational Calculus for Discrete-Time Systems Discrete-Time Optimal Control Systems Discrete-Time Linear State Regulator Systems Steady-State Regulator System Discrete-Time Linear Quadratic Tracking System Frequency-Domain Interpretation Problems PONTRYAGIN MINIMUM PRINCIPLE Constrained Systems Pontryagin Minimum Principle Dynamic Programming The Hamilton-Jacobi-Bellman Equation LQR System using H-J-B Equation CONSTRAINED OPTIMAL CONTROL SYSTEMS Constrained Optimal Control TOC of a Double Integral System Fuel-Optimal Control Systems Minimum Fuel System: LTI System Energy-Optimal Control Systems Optimal Control Systems with State Constraints Problems APPENDICES Vectors and Matrices State Space Analysis MATLAB Files REFERENCES INDEXread more
Citations
More filters
Proceedings ArticleDOI
Robust adaptive control
Petros Ioannou,Jing Sun +1 more
TL;DR: In this article, the authors present a model for dynamic control systems based on Adaptive Control System Design Steps (ACDS) with Adaptive Observers and Parameter Identifiers.
Journal ArticleDOI
Active learning with statistical models
TL;DR: In this article, the optimal data selection techniques have been used with feed-forward neural networks and showed how the same principles may be used to select data for two alternative, statistically-based learning architectures: mixtures of Gaussians and locally weighted regression.
Journal ArticleDOI
Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: stability and moving-horizon approximations
S.S. Keerthi,Elmer G. Gilbert +1 more
TL;DR: In this paper, the authors consider a class of feedback systems arising from the regulation of time-varying discrete-time systems using optimal infinite-horizon and movinghorizon feedback laws, characterized by joint constraints on the state and the control, a general nonlinear cost function and nonlinear equations of motion possessing two special properties.
Journal ArticleDOI
Theory and applications of adaptive control-A survey
TL;DR: It is shown that adaptive control laws can also be obtained from stochastic control theory, and different approaches are discussed with particular emphasis on model reference adaptive systems and self-tuning regulators.
Journal ArticleDOI
Disturbance models for offset‐free model‐predictive control
TL;DR: In this article, it was shown that a number of integrating disturbances equal to the number of measured variables is sufficient to guarantee zero offset in the controlled variables, and the results apply to square and nonsquare, open-loop stable, integrating and unstable systems.