Three-Dimensional Integrated Guidance and Control for a STT Missile Based on Improved RISE in Series

Abstract

A novel three-dimensional integrated guidance and control (3D-IGC) approach is developed for sliding-to-turn (STT) missile, which achieves an asymptotic tracking performance with various disturbances. First, a nonlinear state-space model is established to design the 3D-IGC law. Then, a control approach based on the improved robust integral of the sign of error (RISE) is proposed to guarantee both the angle and angular rates of the look of sight (LOS) to be tightly tracked. In addition, a novel error transformation is introduced so as to transmit the mismatched modeling uncertainties to control input channel. Then, the improved RISE can handle both mismatched and matched modeling uncertainties together in the design of the controller. The closed-loop system stability and the convergence characteristic are rigorously proved via Lyapunov theory. Finally, the extensive contrast simulations are implemented to demonstrate the effectiveness and robustness of the proposed control strategy. INDEX TERMS Integrated guidance and control, RISE, modeling uncertainty, asymptotic tracking.

Composite Terminal Guidance Law for Supercavitating Torpedoes with Impact Angle Constraints

“…Proposition 1. Given the sliding variable dynamics (31) and the gain-adaptation law (32), the gains k 1 and k 2 are upper bound, i.e., there exists k…”

“…Te traditional design methodology for handling autopilot lag is the backstepping control, which may lead to the "explosion of items" problem. Te dynamic surface control proposed by Swaroop et al [30] can avoid this problem by calculating the time derivative of the virtual control command through the frst-order flter, which is a standard method for dealing with similar issues at present [31,32]. However, it will inevitably induce a phase delay, which reduces convergence speed and control precision.…”

Non-Transformed Prescribing Performance Function and Finite-Time RISE-Based Tracking Control for Euler-Lagrange Systems

“…Theorem 2: The following condition of the transformed error defined in (10) holds regardless of the size and sign of the error, if and only if c 0j , c ∞j , r j , and δ j are selected such that they satisfy (10):…”

“…In [6] and [7], RISE control with adaptive law was applied to the Euler-Lagrange systems and uncertain nonlinear system in the presence of additive disturbances and unknown state time delay, respectively. As applications to industrial systems, RISE control was applied to underwater vehicle, hydraulic, and STT missile systems [8]- [10].…”

“…Next, a finite-time RISE control based on the finitetime stability condition was proposed to obtain finite-time convergence performance, while a majority of the conventional RISE control strategies [5]- [10] was designed by the infinite-time stability condition. Thus, more rapid tracking performance in the proposed control system can be obtained compared with the conventional RISE based control systems [5]- [10]. Utilizing the constructive finite-time Lyapunov function method, a finite-time based RISE controller was designed.…”