Self-scheduled H-infinity control of missile via linear matrix inequalities

Apkarian, Pierre; Biannic, Jean‐Marc; Gahinet, Pascal

doi:10.2514/3.21419

Cited by 106 publications

(47 citation statements)

References 8 publications

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“…Proof: First we recall the following standard result, [7], [15], [24], [2]: Let P a be a generalized interconnection plant with state-space realization…”

Section: A Lmi Formulationmentioning

confidence: 99%

Static H/sub /spl infin// loop shaping control of a fly-by-wire helicopter

Prempain

Postlethwaite²

2004

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)

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This paper introduces a novel static output feedback version of the design procedure of McFarlane and Glover [18]. Existence conditions for a static output loop shaping controller are given in terms of two coupled matrix inequalities. Simple linear sufficient conditions can be derived from these coupled nonlinear inequalities and the determination of a static, sub-optimal, H ∞ loop shaping controller reduces to an optimization problem over Linear Matrix Inequalities. The new procedure is demonstrated by its application to the design of a flight control system for the Canadian fly-by-wire research Bell 205 helicopter. The resulting H ∞ controller has just 3 states and would appear to be the simplest flight control system used on this helicopter. The system was successfully flight-tested and high levels of performance were achieved.

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“…Proof: First we recall the following standard result, [7], [15], [24], [2]: Let P a be a generalized interconnection plant with state-space realization…”

Section: A Lmi Formulationmentioning

confidence: 99%

Static H/sub /spl infin// loop shaping control of a fly-by-wire helicopter

Prempain

Postlethwaite²

2004

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)

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“…Control designs for LPV systems such that missiles [30][31][32][33][34][35], aircrafts and spacecrafts [36][37][38][39], energy production systems [40][41][42][43][44][45][46], inverted pendulums [47], automated vehicles [48], winding systems [49], wafer scanners [50], robotic systems [51], and congestion in computer-networks and web servers [52,53] have been investigated.…”

Section: Introductionmentioning

confidence: 99%

Model reference control of LPV systems

Abdullah¹,

Zribi²

2009

Journal of the Franklin Institute

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“…LPV-based methods using linear matrix inequality (LMI) formulation are analyzed in [3], whereas those using linearizationbased gain scheduling are analyzed in [4,5], with both offering stability guaranties. Ad hoc methods based on the latter method have also been used over the years, each one performing well for the problem that was used [6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Missile Autopilot Design: Gain-Scheduling and the Gap Metric

Theodoulis

Duc

2009

Journal of Guidance, Control, and Dynamics

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This paper presents a systematic methodology for the synthesis of global gain-scheduled controllers for nonlinear time-varying systems. A controller of this type is used to compute the pitch-axis autopilot of an air-air missile. The missile model used is considered a benchmark for testing autopilot controllers in the academic and industrial communities. The missile's dynamics are linearized at a small set of operating points for which proportionalintegral/proportional-type controllers are designed, to shape the frequency response of the linear plants' dynamics. A new set of operating points is computed afterward using the connection between the gap metric and the H 1 loopshaping theory. Then, reduced-order, static, H 1 loop-shaping controllers are designed for this set of points using linear matrix inequality optimization techniques. Finally, the global gain-scheduled controller is obtained by interpolating the proportional-integral/proportional and the loop-shaping controllers' gains over the missile's flight envelope. The simulation results given show the generality and effectiveness of the proposed control strategy in terms of the operating point selection, stability, performance and robustness, of the closed loop.

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Self-scheduled H-infinity control of missile via linear matrix inequalities

Cited by 106 publications

References 8 publications

Static H/sub /spl infin// loop shaping control of a fly-by-wire helicopter

Static H/sub /spl infin// loop shaping control of a fly-by-wire helicopter

Model reference control of LPV systems

Missile Autopilot Design: Gain-Scheduling and the Gap Metric

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