Adjustment of Adaptive Gain with Bounded Linear Stability Analysis to Improve Time-Delay Margin for Metrics-Driven Adaptive Control

This paper presents the application of Bounded Linear Stability Analysis (BLSA) method for metricsdriven adaptive control. The bounded linear stability analysis method is used for analyzing stability of adaptive control models, without linearizing the adaptive laws. Metrics-driven adaptive control introduces a notion that adaptation should be driven by some stability metrics to achieve robustness. By the application of bounded linear stability analysis method the adaptive gain is adjusted during the adaptation in order to meet certain phase margin requirements. Analysis of metrics-driven adaptive control is evaluated for a linear damaged twin-engine generic transport model of aircraft. The analysis shows that the system with the adjusted adaptive gain becomes more robust to unmodeled dynamics or time delay.

[1]  J.D. Boskovic,et al.  Bounded linear stability margin analysis of nonlinear hybrid adaptive control , 2008, 2008 American Control Conference.

[2]  Chang Chieh Hang,et al.  Self-tuning PID control of a plant with under-damped response with specifications on gain and phase margins , 1997, IEEE Trans. Control. Syst. Technol..

[3]  Anthony J. Calise,et al.  Nonlinear flight control using neural networks , 1994 .

[4]  Chang Chieh Hang,et al.  Getting more phase margin and performance out of PID controllers , 1999, Autom..

[5]  Anthony J. Calise,et al.  Intelligent aerodynamic/propulsion flight control for flight safety: a nonlinear adaptive approach , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[6]  Anthony J. Calise,et al.  Adaptive Output Feedback for High-Bandwidth Control of an Unmanned Helicopter , 2001 .

[7]  Michael Athans,et al.  Robustness of continuous-time adaptive control algorithms in the presence of unmodeled dynamics , 1985 .

[8]  Weng Khuen Ho,et al.  Performance and gain and phase margins of well-known PID tuning formulas , 1995, IEEE Trans. Control. Syst. Technol..

[9]  Nhan Nguyen,et al.  Hybrid Adaptive Flight Control with Bounded Linear Stability Analysis , 2007 .

[10]  Aviation Safety Program Integrated Resilient Aircraft Control “Stability, Maneuverability, and Safe Landing in the Presence of Adverse Conditions” , 2007 .

[11]  David G. Ward,et al.  Indirect adaptive flight control system interactions , 1999 .

[12]  Jovan D. Boskovic,et al.  An Optimal Control Modification to Model-Reference Adaptive Control for Fast Adaptation , 2008 .

[13]  Eric N. Johnson,et al.  FEEDBACK LINEARIZATION WITH NEURAL NETWORK AUGMENTATION APPLIED TO X-33 ATTITUDE CONTROL , 2000 .

[14]  Anuradha M. Annaswamy,et al.  Stability Margins for Adaptive Controllers in the Presence of Time-Delay , 2008 .

[15]  Anthony J. Calise,et al.  Hierarchical Approach to Adaptive Control for Improved Flight Safety , 2001 .

[16]  Marc L. Steinberg,et al.  Comparison of Intelligent, Adaptive, and Nonlinear Flight Control Laws , 1999 .

[17]  Anthony J. Calise,et al.  FAULT TOLERANT FLIGHT CONTROL VIA ADAPTIVE NEURAL NETWORK AUGMENTATION , 1998 .

[18]  Roger M. Bailey,et al.  Experimental Validation: Subscale Aircraft Ground Facilities and Integrated Test Capability , 2005 .