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access icon free Synchronised trajectory tracking for a network of MIMO non-minimum phase systems with application to aircraft control

© The Institution of Engineering and Technology
Received 16/09/2017, Accepted 14/03/2018, Revised 07/03/2018, Published 16/03/2018

In this study, the problem of synchronised trajectory tracking for a network of multi-input–multi-output (MIMO) non-minimum phase (NMP) systems is addressed under a switching communication topology. First, an approach to convert the original system equation into a normal form is proposed, where a coordinate transformation matrix is introduced. Then, a control solution is developed, which is made up of a distributed observer network to generate an estimate of the reference system, a causal stable inversion to estimate the bounded state reference and feedforward term, and a local state-trajectory tracker to achieve simultaneously asymptotic output tracking and internal dynamics stabilisation. Finally, the solution is applied to the synchronised flight-path angle and velocity tracking problem of a network of F-16 aircraft, and further compared with the classic proportional–integral–derivative control-based approach used in many real-life applications. Simulation results demonstrate the effectiveness of the proposed solution, as well as the performance advantages owing to a systematic consideration of the NMP property.

Inspec keywords: motion control; position control; feedback; MIMO systems; aircraft control; stability; PD control; synchronisation; control system synthesis; tracking; three-term control; feedforward; nonlinear control systems; closed loop systems; adaptive control

Other keywords: causal stable inversion; multiinput–multioutput; feedforward term; local state-trajectory tracker; reference system; classic proportional–integral–derivative control; synchronised trajectory tracking; simultaneously asymptotic output tracking; aircraft control; bounded state reference; original system equation; MIMO nonminimum phase systems; synchronised flight-path angle; distributed observer network; velocity tracking problem; control solution; switching communication topology

Subjects: Nonlinear control systems; Stability in control theory; Aerospace control; Multivariable control systems; Spatial variables control; Control system analysis and synthesis methods; Self-adjusting control systems

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