Optimal Controller for Near-Space Interceptor with Actuator Saturation

다국어 초록 (Multilingual Abstract)

The saturation of the actuator impairs the response performance of the near space interceptor control system. A control system based on the properties of linear tracking system is designed for this problem. The properties are that the maximum value of the pseudo-Lyapunov function of the linear tracking control system do not present at the initial state but at the steady state, based on which the bounded stability problem is converted into linear tracking problem. The pseudo-Lyapunov function of the linear tracking system contain the input variables; the amplitude and frequency of the input variables affect the stability of the nonlinear control system. Designate expected closed-loop poles area for different input commands and obtain a controller which is function of input variables. The coupling between variables and linear matrices make the control system design problem non-convex. The non-convex problem is converted into a convex LMI according to the Shur complement lemma and iterative algorithm. Finally the simulation shows that the designed optimal control system is quick and accurate; the rationality of the presented design techniques is validated.

목차 (Table of Contents)

• Abstract
• 1. Introduction
• 2. The Interceptor Model and Autopilot Structure
• 3. The Function Properties of Linear Tracking System
• 4. Control System Design and Linearization
• 5. Simulation and Results
• 6. Conclusions
• References

참고문헌 (Reference)

1 TANG Jian-guo, "Upper and Lower Bound of Eigenvalues for Multiplication of Two Real Symmetric Matrices" 35 (35): 302-304,

2 YONG Xue-rong, "The H-, Positive Definite-, Positive Stable-, and P-Matrices" 31 (31): 103-107,

3 CHANG Chao, "Pole Assignment Method with State Constraints for Missile Three-loop Autopilot Design" 3298-3301, 2009

4 David H. Klyde, "PIO Analysis with Actuator Rate Limiting" 569-580, 1996

5 Nishant Unikrishnan, "Missile Longitudinal Autopilot Design Using a New Model-Following Robust Neuro- Adaptive Controller" 1-12, 2004

6 Joao M. Gomes Da Silva Jr, "Local Stabilization of Linear Systems under Amplitude and Rate Saturating Actuators" 3260-3265, 2000

7 FEN Wu, "LPV Based Control of Systems with Amplitude and Rate Actuator Saturation Constraints" 3191-3195, 1999

8 Akin Delibasi, "L2 control of LPV systems with saturating actuators: Polya approach" 34 : 17-34,

9 Jinhua Fan, "Faulttolerant Control for Output Tracking Systems Subject to Actuator Saturation and Constant Disturbances: an LMI Approach"

10 ZHANG Huaiquan, "Electric Power Steering Simulation Analyze Based on Fuzzy PID Current Tracking Control" 7 (7): 119-126,

11 ZHANG Wei-guo, "Design of a Robust Adaptive Reconfigurable Flight Control System Using Multiple Controller" 25 (25): 103-107,

12 XING Li-dan, "Autopilot Design for Missile Controlled by Lateral Thrust/Aero Force using Combined Optimal/Classical Approach" 35 (35): 921-924,

13 ZHANG Qing-jiang, "An Enhanced LMI Approach for Mixed H2/H∞ Flight Tracking Control" 24 (24): 324-328,

14 CHEN Shan-ben, "A Time-Domain Approach to H∞ Optimal Tracking Problem of the Systems with L2 Bounded Uncertainty Disturbances" 16 (16): 25-31,