Input-and-measurement event-triggered control for flexible air-breathing hypersonic vehicles with asymmetric partial-sta

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ORIGINAL PAPER

Input-and-measurement event-triggered control for flexible air-breathing hypersonic vehicles with asymmetric partialstate constraints Xingling Shao . Yi Shi . Wendong Zhang

Received: 27 May 2020 / Accepted: 2 September 2020 Ó Springer Nature B.V. 2020

Abstract In this paper, an input-and-measurement event-triggered control scheme considering asymmetric partial-state constraints is proposed for flexible airbreathing hypersonic vehicles (FAHV) subject to lumped disturbances and limited resources. To realize a precise disturbance rejection with decreased communication burden in sensor-to-control channels, intermittent measurement-based extended state observers using switching threshold samplers are developed in altitude and velocity subsystems, while the quantitative relationship between the upper bounds of observation errors and the design parameters of switching triggering mechanism is derived. Subsequently, to ensure the angle of attack (AoA) well within the allowable operational region and simultaneously achieve a reference tracking with expected characteristic, asymmetric constraints imposed on partial states including AoA, velocity, and altitude are embedded in design process, while a one-to-one nonlinear mapping is designed to avoid the violation of state constraint of AoA without enforcing

feasibility conditions on virtual control laws, and a modified prescribed performance control is constructed to govern the output constraints of velocity and altitude, releasing the demand on the precise knowledge of initial states. Next, to maintain the resources occupation (energy and communication in controller-to-actuator channel) at low levels and ensure a desirable tracking precision, robust control laws based on switching event-triggered mechanisms are designed for FAHV to circumvent Zeno phenomena and compensate for the sampling error induced by event-triggered conditions. The simulation results and comparisons validate the effectiveness of the proposed scheme. Keywords Intermittent measurement  Extended state observer  Nonlinear mapping  Event-triggered  Flexible air-breathing hypersonic vehicles

1 Introduction X. Shao (&)  Y. Shi  W. Zhang Key Laboratory of Instrumentation Science and Dynamic Measurement, Ministry of Education, North University of China, Taiyuan 030051, China e-mail: [email protected] X. Shao  Y. Shi  W. Zhang National Key Laboratory for Electronic Measurement Technology, School of Instrument and Electronics, North University of China, Taiyuan 030051, China

As a cost-efficient weapon to achieve ‘‘prompt global strike’’ equipped with a high penetration ability, flexible air-breathing hypersonic vehicles (FAHV) have attracted more and more attentions in worldwide institutes [1–5]. However, the slender and light structure of FAHV induces flexible effects coupled with rigid-body dynamics, leading to a serious flexible vibration characteristic to the rigid-body states.

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Besides, the highly integrated peculi