Kharitonov Based Robust Stability for a Flight Controller

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In this paper an extended SIMC PID controller is designed for an unstable angle of attack of a FOXTROT aircraft and then its stability is tested for a particular range of perturbation values. The robust stability for the above system is tested analytically and graphically using Kharitonov Stability Criterion. Further it was established that not only the designed controller along with the plant is stable but also robust stable while the aircraft flies with different speed.
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Robust Stability; Kharitonov Interval Polynomials; Frequency Sweeping Function; Extended SIMC

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V.L Kharitonov, Asymptotic stability of an equilibrium position of a family of systems of linear differential equations, Diferencialna Uravnenia, 14, (1978), pp.2086-2088. Translation in differential equations, 14, pp.1483-1485.

H. Chapellat, S.P. Bhattacharyya, A generalization of Kharitonov's Theorem; Robust stability of interval plants, IEEE Transactions on Automatic Control, Vol. 34(Issue 3): 306 – 311, 1989.

V. Yogesh, J.R.P Hote, Gupta, D. Roy Choudhury, Kharitonov’s theorem and Routh Criterion for stability margin of interval systems, International Journal of Control, Automation and Systems, Vol. 8(Issue 3):647-654, June 2010.

K.A. Moornani, M. Haeri, Robust stability testing function and Kharitonov-like theorem for fractional order interval systems, IET, Control Theory & Applications, Vol. 4 (Issue.10): 2097- 2108, October 2010.

Fu M, “A class of weak Kharitonov regions for robust stability of linear uncertain systems”, IEEE transactions on Automatic control, Aug 1991, V0l. 36, Issue. 8, pp. 975-978.

Jie Chen, S.-I. Niculescu, Fu Peilin, Robust Stability of Quasi-Polynomials: Frequency-Sweeping Conditions and Vertex Tests, IEEE Transactions on Automatic Control, Vol.53 (Issue.5):1219 – 1234, June 2008.

H. Bevrani, S. Shokoohi, Robust stabilizer feedback loop design for a radio-frequency amplifier, IEEE International Conference on Control Applications (CCA), pp. 2250-2255, Sept. 2010.

R.J. Bhiwani, B.M. Patre, Stability analysis of fuzzy parametric uncertain systems, ISA transactions, Vol. 50( Issue 4):538–547, October 2011.

R. Toscano, P. Lyonnet, Robust static output feedback controller synthesis using Kharitonov’s theorem and evolutionary algorithms, Information, Vol. 180(Issue 10): 2023–2028, May 2010.

Henrik, Manum, Extensions of Skogestad’s SIMC tuning rules to oscillatory and unstable processes, pp.01-65, December 2005.

S. Skogestad, Simple analytic rules for model reduction and PID controller tuning, Journal of Process Control, Vol. 13, pp. 291-309, July 2003.

David Di Ruscio, On Tuning PI Controllers for Integrating plus Time Delay Systems, Modeling, Identification and Control, Vol. 31(issue 4):145-164, 2010.

Ala Eldin Abdallah Awouda, Mohsen Habibi Tehrani and Rosbi Bin Mamat, Robust PID Tuning Rule Using Prediction Algorithm with Optimization Method, (2010) International Review of Automatic Control (IREACO), 3 (2), pp. 100-105.

Issam Amri, Dhaou Soudani and Mohamed Benrejeb, Robust Exponential Stabilization of Uncertain Perturbed Systems with Multiple Time Varying Delays in State and Control Input, (2011) International Review of Automatic Control (IREACO), 4 (2), pp. 191-203.

M.H.T.Omar, W.M.Ali and M.Z. Mustafa, Auto Tuning of PID Controller Using Swarm Intelligent, (2011) International Review of Automatic Control (IREACO), 4 (3), pp. 319-327.

Donald McLean, Automatic flight control system (Prentice- Hall, 1990).

Gracey, William, Summary of Methods of Measuring Angle of Attack on Aircraft, NACA Technical Note (NASA Technical Reports), (NACA-TN-4351): 1–30, 1958.

S.P. Bhattacharya, H. Chapellat and L.H. Keel, Robust control, The Parametric Approach (Prentice Hall-1995).


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