scholarly journals Missile Longitudinal Dynamics Control Design Using Pole Placement and LQR Methods

2021 ◽  
Vol 71 (5) ◽  
pp. 699-708
Author(s):  
P.V.R.R. Bhogendra Rao ◽  
V.S.N. Murthy Arikapalli ◽  
Shiladitya Bhowmick ◽  
Ramakalyan Ayyagari
Keyword(s):  
Response Times ◽  
Energy Requirement ◽  
Research Work ◽  
Control Design ◽  
Pole Placement ◽  
Control Cost ◽  
Control Effort ◽  
Lqr Control ◽  
Energy Constraints ◽  
Design Techniques

In high-maneuvering missile systems, with severe restrictions on actuator energy requirements, it is desirable to achieve the required performance with least actuation effort. Linear Quadratic Regulator (LQR) has been in literature for long and has proven it’s mettle as an optimal controller in many benign aerospace applications and industrial applications where the response times of the plant, in most cases, are seen to be greater than 10 seconds. It can be observed in the literature that LQR control methodology has not been explored enough in the tactical missile applications where requirement of very fast airframe response times are desired, typically of the order of milliseconds. In the present research, the applicability of LQR method for one such agile missile control has been critically explored. In the present research work, longitudinal dynamic model of an agile missile flying at high angle of attack regime has been established and an optimal LQR control solution has been proposed to bring out the required performance demanding least control actuator energy. A novel scheme has been presented to further optimise the control effort, which is essential in this class of missile systems with space and energy constraints, by iteratively computing optimal magnitude state weighing matrix Q and control cost matrix R. Pole placement design techniques, though extensively used in aerospace industry because of ease of implementation and proven results, do not address optimality of the system performance. Hence, a comparative study has been carried out to verify the results of LQR against pole placement technique based controller. The efficacy of LQR based controller over pole placement design techniques is successfully established with minimum control energy requirement in this paper. Futuristic high maneuvering, agile missile control design with severe space and energy constraints stand to benefit incorporating the controller design scheme proposed in this paper. 

scholarly journals Improved Self-Sensing Speed Control of IPMSM Drive Based on Cascaded Nonlinear Control

Energies ◽  
2021 ◽  
Vol 14 (8) ◽  
pp. 2205
Author(s):  
Muhammad Usama ◽  
Jaehong Kim
Keyword(s):  
Fuzzy Logic Controller ◽  
Control Design ◽  
Speed Control ◽  
Current Control ◽  
The Self ◽  
Pole Placement ◽  
Motor Drive ◽  
Control Performance ◽  
Control Loop ◽  
Maximum Torque

This paper presents a nonlinear cascaded control design that has been developed to (1) improve the self-sensing speed control performance of an interior permanent magnet synchronous motor (IPMSM) drive by reducing its speed and torque ripples and its phase current harmonic distortion and (2) attain the maximum torque while utilizing the minimum drive current. The nonlinear cascaded control system consists of two nonlinear controls for the speed and current control loop. A fuzzy logic controller (FLC) is employed for the outer speed control loop to regulate the rotor shaft speed. Model predictive current control (MPCC) is utilized for the inner current control loop to regulate the drive phase currents. The nonlinear equation for the dq reference current is derived to implement the maximum torque per armature (MTPA) control to achieve the maximum torque while using the minimum current values. The model reference adaptive system (MRAS) was employed for the speed self-sensing mechanism. The self-sensing speed control performance of the IPMSM motor drive was compared with that of the traditional cascaded control schemes. The stability of the sensorless mechanism was studied using the pole placement method. The proposed nonlinear cascaded control was verified based on the simulation results. The robustness of the control design was ensured under various loads and in a wide speed range. The dynamic performance of the motor drive is improved while circumventing the need to tune the proportional-integral (PI) controller. The self-sensing speed control performance of the IPMSM drive was enhanced significantly by the designed cascaded control model.

Control design for time-delay systems based on quasi-direct pole placement

2010 ◽  
Vol 20 (3) ◽  
pp. 337-343 ◽  
Author(s):  
Wim Michiels ◽  
Tomáš Vyhlídal ◽  
Pavel Zítek
Keyword(s):  
Time Delay ◽  
Control Design ◽  
Pole Placement ◽  
Delay Systems ◽  
Time Delay Systems

Many-Objective Optimal Design of Sliding Mode Controls

2016 ◽  
Vol 139 (1) ◽  
Author(s):  
Yousef Sardahi ◽  
Jian-Qiao Sun
Keyword(s):  
Optimal Design ◽  
Pareto Front ◽  
Sliding Mode ◽  
Design Method ◽  
Tracking Error ◽  
Control Design ◽  
Processing Algorithm ◽  
Order System ◽  
Post Processing ◽  
Control Effort

This paper presents a many-objective optimal (MOO) control design of an adaptive and robust sliding mode control (SMC). A second-order system is used as an example to demonstrate the design method. The robustness of the closed-loop system in terms of stability and disturbance rejection are explicitly considered in the optimal design, in addition to the typical time-domain performance specifications such as the rise time, tracking error, and control effort. The genetic algorithm is used to solve for the many-objective optimization problem (MOOP). The optimal solutions known as the Pareto set and the corresponding objective functions known as the Pareto front are presented. To assist the decision-maker to choose from the solution set, we present a post-processing algorithm that operates on the Pareto front. Numerical simulations show that the proposed many-objective optimal control design and the post-processing algorithm are promising.

Optimal Control Design of a Bimorph Optical Beam Deflector

2001 ◽  
Author(s):  
Chang-Po Chao ◽  
Jeng-Sheng Huang ◽  
Ching-Lung Ou Yung ◽  
Rong-Fong Fung
Keyword(s):  
Optimal Control ◽  
Position Control ◽  
Angular Position ◽  
Control Design ◽  
Element Model ◽  
Optical Beam ◽  
Optimal Feedback Control ◽  
Central Position ◽  
Control Effort ◽  
And Control

Abstract The optical beam deflector is composed of two piezoelectric layers, one sandwiched brass layer in the middle with both ends clamped and a mirror attached to the upper surface of the top piezoelectric layer in the central position. This structure is designed to deflect the mirror to a certain angular position by applying external voltage supply to piezo-layers. This study proposes an optimal angular position control scheme of the attached mirror. The governing partial differential equations are first derived for the ensuing analysis and control design, which is followed by the establishment of finite element model in ten nodes specified at some longitudinal points of the optical beam deflector. In order to achieve a faster convergent rate for the deflector to reach the desired angular position, the optimal control of LQ regulator with final states fixed is employed to explore the possibility of shorter transient response and less cost of control effort and states. The optimal feedback control is obtained based on solving a dynamic Riccati equation backward in time. The numerical simulation results are finally provided to validate the theoretical control design.

Control Design for a Hand Tremor Suppression Pen

2015 ◽  
Author(s):  
Che Ou ◽  
Andrew Gouldstone ◽  
Beverly Kris Jaeger ◽  
Rifat Sipahi
Keyword(s):  
Design Parameter ◽  
Control Design ◽  
Pole Placement ◽  
Simulation Studies ◽  
Optimization Scheme ◽  
Hand Tremor ◽  
Trade Offs ◽  
Tremor Suppression ◽  
Active Feedback ◽  
Active Feedback Control

Active feedback control is utilized in this study in order to regulate pen-tip deviations in a novel pen design with the aim to minimize the effects of hand tremors on handwriting. The pen comprises a pendulum-like pen-rod that swings inside a tubular shaped pen casing, and between the pen and the casing, certain compliance and active actuation is considered. Since by the nature of the system dynamics, arbitrary pole placement is not possible in the design of the controller, a nonlinear optimization scheme is constructed to design the controller gains. With these gains, pen-tip deviations are minimized (≈ −47 dB) when the pen casing is subjected tremor-induced cyclic disturbances, and pen-tip response against impulsive perturbations is satisfactorily improved (settling time ≈ 1 sec) while keeping the controller effort around 2 N. Simulation studies are presented comparing the efficacy of the proposed controller with respect to a passively controlled pen, along with trade-offs within the design parameter space.

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