LQR based improved discrete PID controller design via optimum selection of weighting matrices using fractional order integral performance index
TLDR
The impact of fractional order (as any arbitrary real order) cost function on the LQR tuned PID control loops is highlighted in the present work, along with the achievable cost of control.About:
This article is published in Applied Mathematical Modelling.The article was published on 2013-03-15 and is currently open access. It has received 112 citations till now. The article focuses on the topics: PID controller & Linear-quadratic regulator.read more
Citations
More filters
Journal ArticleDOI
Control and vibration of rail vehicle semi-active suspensions with comfort evaluation
TL;DR: The obtained results prove that the semi-active suspension with a LQR controller yields the best results compared to PID controller.
Journal ArticleDOI
Control Analysis with Modified LQR Method of Anti-Tank Missile with Vectorization of the Rocket Engine Thrust
TL;DR: In this paper , a modified linear-quadratic regulator is proposed to analyze state and control matrices in flight, where the state matrix is replaced by a Jacobian determinant, and the signals that control the control surface deflection angles and the thrust vector via calculated Jacobians are determined.
Book ChapterDOI
LQR PI Controller Design for First-Order Time-Delay Systems
TL;DR: PI controller gains are find out by using the LQR, it gives the optimal gain values and a skew symmetric matrix-based feedback gain matrix is used in selection of Q matrices.
Proceedings ArticleDOI
Implementation of a Novel Optimal PID Methods in UAV Applications
TL;DR: A novel analytical tuning methodology for PID gains, based on Linear Quadratic Regulator (LQR) optimal control, for linear systems is developed and shows good control response measures.
Journal ArticleDOI
Damping Enhancement for SMIB Power System Equipped with LQR Tuned via Analytical Approach
TL;DR: An ‘algebraic approach’ derived from the relationship between algebraic Riccati equation and Lagrange multiplier optimization technique is proposed to tune LQR and the performance of single-machine infinite-bus power system equipped with L QR tuned via the proposed analytical method has been tested in MATLAB/Simulink® environment.
References
More filters
Book
Optimal Control: Linear Quadratic Methods
TL;DR: In this article, an augmented edition of a respected text teaches the reader how to use linear quadratic Gaussian methods effectively for the design of control systems, with step-by-step explanations that show clearly how to make practical use of the material.
Book
Discrete-time control systems
TL;DR: Discrete-time control systems, Discrete- time control systems , مرکز فناوری اطلاعات و ا�ل squares رسانی, کسورزی.
Journal ArticleDOI
Frequency-band complex noninteger differentiator: characterization and synthesis
TL;DR: In this article, the state-of-the-art on generalized (or any order) derivatives in physics and engineering sciences is outlined for justifying the interest of the noninteger differentiation.
Posted Content
Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation
Igor Podlubny,B. Nemcovej +1 more
TL;DR: In this paper, a solution to the more than 300-year old problem of geometric and physical interpretation of fractional integration and dieren tiation is suggested for the Riemann-Liouville fractional Integration and Dieren Tiation, the Caputo fractional dierentiation, and the Riesz potential.
Book
Functional Fractional Calculus
TL;DR: In this article, a modern approach to solve the solvable system of fractional and other differential equations, linear, non-linear; without perturbation or transformations, but by applying physical principle of action-and-opposite-reaction, giving approximately exact series solutions.