Optimal Linear-Quadratic Guidance Law Considering Autopilot First-Order Lag with Terminal Acceleration Constraint

2019 ◽  
pp. 2310-2330
Author(s):  
Duo Zheng ◽  
Xinghua Xu ◽  
Ruyi Yan ◽  
Defu Lin
Keyword(s):  
Linear Quadratic ◽  
First Order ◽  
Guidance Law ◽  
Optimal Linear

Optimal Control of an Unmanned Lighter-Than-Air Vehicle Through Way-Point Navigation

2012 ◽  
Author(s):  
Ghassan M. Atmeh ◽  
Kamesh Subbarao
Keyword(s):  
Optimal Control ◽  
Kalman Filter ◽  
Wind Disturbance ◽  
Linear Quadratic ◽  
Proportional Navigation ◽  
Guidance Law ◽  
Air Vehicle ◽  
Optimal Linear ◽  
Guidance Laws ◽  
Proportional Navigation Guidance

The work presented in this paper deals with designing two, optimal, Linear-Quadratic controllers that are capable of navigating an airship through a series of planar waypoints. Two guidance laws are considered, a track-specific guidance law and a proportional navigation guidance law. Each provides commands to their corresponding controller based on vehicle and waypoint positions. A novel implementation of the extended Kalman filter (EKF) provides the required states and wind speed estimates to enhance the performance of the track-specific guidance law in the presence of wind disturbance.

ROBUST SOLUTION OF A TIME-VARIABLE INTERCEPTION PROBLEM: A CHEAP CONTROL APPROACH

2007 ◽  
Vol 09 (04) ◽  
pp. 637-655 ◽  
Author(s):  
VLADIMIR TURETSKY ◽  
VALERY Y. GLIZER
Keyword(s):  
Kinematic Model ◽  
Analytical Description ◽  
Linear Quadratic ◽  
Robust Solution ◽  
Control Approach ◽  
First Order ◽  
Cheap Control ◽  
Guidance Law ◽  
Zero Sum ◽  
Miss Distance

A planar interception problem of a maneuverable target is considered using the linearized kinematic model with variable velocities and first-order dynamics of the interceptor and target. The maneuverabilities of the interceptor and target are assumed to be variable. By using an auxiliary zero-sum linear-quadratic differential game with cheap controls of both players, an interception guidance law, linear with respect to the state vector, is derived. An analytical description of the set of initial positions (capture set) is obtained, from which this guidance law provides zero miss distance, subject to given maneuverabilities of the interceptor and target. A numerical example illustrating the analytical results is presented.

scholarly journals Comparative investigations of nonlinear and linear observers for a highly manoeuvrable target in sliding mode guidance

2017 ◽  
Vol 65 (2) ◽  
pp. 233-245
Author(s):  
Y. Wang ◽  
M. Sun ◽  
S. Du ◽  
Z. Chen
Keyword(s):  
Sliding Mode ◽  
Guidance System ◽  
Key Factors ◽  
Factors Affecting ◽  
First Order ◽  
Guidance Law ◽  
Linear Observer ◽  
Overall Performance ◽  
Twisting Algorithm ◽  
Different Levels

Abstract Target manoeuvre is one of the key factors affecting guidance accuracy. To intercept highly maneuverable targets, a second-order sliding-mode guidance law, which is based on the super-twisting algorithm, is designed without depending on any information about the target motion. In the designed guidance system, the target estimator plays an essential role. Besides the existing higher-order sliding-mode observer (HOSMO), a first-order linear observer (FOLO) is also proposed to estimate the target manoeuvre, and this is the major contribution of this paper. The closed-loop guidance system can be guaranteed to be uniformly ultimately bounded (UUB) in the presence of the FOLO. The comparative simulations are carried out to investigate the overall performance resulting from these two categories of observers. The results show that the guidance law with the proposed linear observer can achieve better comprehensive criteria for the amplitude of normalised acceleration and elevator deflection requirements. The reasons for the different levels of performance of these two observer-based methods are thoroughly investigated.

Design and Instruction Solution of an Optimal Guidance Law for Ship-Air Missile beyond Visual Range

2012 ◽  
Vol 433-440 ◽  
pp. 3831-3836
Author(s):  
Yong Tao Zhao ◽  
Yun An Hu
Keyword(s):  
Control Variable ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Guidance Law ◽  
The Earth ◽  
Optimal Guidance ◽  
Quadratic Optimal Control ◽  
Simulation Results ◽  
Visual Range ◽  
Terminal Guidance

For the case of ship-air missile intercepting the low target beyond visual range by ship-ship coordination, the instruction solution model was presented and an optimal guidance law was designed considering the effect of the curvature of the earth. In the midcourse and terminal guidance segment, the optimal guidance law was designed through applying the concept of the pseudo control variable and the theory of the linear quadratic optimal control. The information of the target was described in the launch coordinates through coordinate transformation to realize the instruction solution for the designed guidance law. The simulation results show that the model of the instruction solution is correct and the designed guidance law is feasible.

scholarly journals Optimal linear quadratic control for wireless sensor and actuator networks with random delays and packet dropouts

2018 ◽  
Vol 14 (6) ◽  
pp. 155014771877956
Author(s):  
Zhuwei Wang ◽  
Lihan Liu ◽  
Chao Fang ◽  
Xiaodong Wang ◽  
Pengbo Si ◽  
...  
Keyword(s):  
Frequency Control ◽  
Optimal Solution ◽  
Load Frequency Control ◽  
Wireless Sensor ◽  
Linear Quadratic Control ◽  
Linear Quadratic ◽  
Relay Nodes ◽  
Packet Dropouts ◽  
Frequency Control System ◽  
Optimal Linear

In this article, the optimal linear quadratic control problem is considered for the wireless sensor and actuator network with stochastic network-induced delays and packet dropouts. Considering the event-driven relay nodes, the optimal solution is obtained, which is a function of the current plant state and all past control signals. It is shown that the optimal control law is the same for all locations of the controller placement. Since the perfect plant state information is available at the sensor, the optimal controller should be collocated with the sensor. In addition, some issues such as the plant state noise and suboptimal solution are also discussed. The performance of the proposed scheme is investigated by an application of the load frequency control system in power grid.

Approximate solution to optimal linear quadratic Gaussian control over non-acknowledgment networks

2020 ◽  
Vol 357 (4) ◽  
pp. 2049-2066
Author(s):  
Hong Lin ◽  
Mei Liu ◽  
Huaicheng Yan ◽  
Jinliang Liu ◽  
Shan Lu
Keyword(s):  
Approximate Solution ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
Optimal Linear

scholarly journals An LQG Controller Based on Real System Identification for an Active Hydraulically Interconnected Suspension

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Yaohua Guo ◽  
Bin Wang ◽  
Anton Tkachev ◽  
Nong Zhang
Keyword(s):  
Transfer Function ◽  
Physical Model ◽  
Hidden Variables ◽  
Roll Angle ◽  
Ball Screw ◽  
Vehicle Body ◽  
Linear Quadratic ◽  
Rollover Prevention ◽  
Body Roll ◽  
Optimal Linear

Rollover prevention is always one of the research hotspots in vehicle design. Active hydraulically interconnected suspension (HIS) is a promising technology to reduce vehicle body roll angle caused by different driving inputs and road conditions. This paper proposes a novel actuator of the active HIS system. The actuator consists of two cylinders, a ball screw, and only one motor. The actuator proposed can reduce the number of motors needed in the system. Meanwhile, forced vibration identification (FVI) is used to identify the transfer function of a half-car physical model and a Kalman state observer is applied to eliminate the influence of sensor noise. The FVI method can eliminate most model uncertainties and hidden variables. Aggressive and moderate optimal linear quadratic Gaussian (LQG) methods are implemented to control the motion of the vehicle body based on the identified transfer function of the physical model. The performance of an active HIS system with an aggressive and moderate LQG controller is compared with that of a passive HIS system. The effectiveness of the LQG controller is validated by simulation and experimental results. Also, the obtained results show that the stabilization speed of the active HIS system is 20% faster than that of the passive HIS system and the roll angle can be reduced up to 55% than that of the passive HIS system.

scholarly journals Modeling and Speed Tuning of a PMSM with Presence of Fissure Using Dragonfly Algorithm

2020 ◽  
Vol 10 (24) ◽  
pp. 8823
Author(s):  
Omar Aguilar-Mejía ◽  
Abraham Manilla-García ◽  
Ivan Rivas-Cambero ◽  
Hertwin Minor-Popocatl
Keyword(s):  
Control Method ◽  
Fault Tolerant ◽  
Permanent Magnet Synchronous Motor ◽  
Linear Quadratic Control ◽  
Linear Quadratic ◽  
Search Range ◽  
Trajectory Tracking Control ◽  
Dragonfly Algorithm ◽  
Optimal Linear ◽  
Motor Operation

This paper presents a robust trajectory tracking control for a Permanent Magnet Synchronous Motor (PMSM) with consideration a fault, parametric uncertainties and external disturbances by effectively integrating robust optimal linear quadratic control. One kind of fault is considered in the machine, particularly the presence of fissure rotor. The dynamic model of the PMSM with the presence of fissure presents highly non-linear behaviors, which means that tuning is quite complicated, which the tuning was chosen through swarm intelligence optimization (Dragonfly Algorithm). A sensitivity analysis is carried out, in order to limit the search range to minimize the evaluation time. This methodology was used to diminish these defects during motor operation. Simulation results show that the optimal linear quadratic control method has a robust fault-tolerant performance.

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