Abstract
This paper examines the stability analysis of discrete-time control systems particularly during the event of actuator saturation and time-varying state delay. With the help of Wirtinger inequality along with Lyapunov-Krasovskii functional gain of state feedback controller is determined for stabilization of above system. The saturation nonlinearity is represented in the terms of convex hull. A new linear matrix inequality (LMI) criterion is settled with reciprocally convex combination based inequality which is dependent on delay. The proposed criterion is less conservative in concern to increase the delay bound and a controller is also simulated for real time problem of missile control system in this paper. It is also attained that projected stability criterion is less conservative compared to other outcomes. Furthermore, an optimization procedure together with LMI constraints has been proposed to maximize the attraction of domain.
Highlights
Every system is distressed due to common nonlinearities like saturation, deadzone, backlash, etc
This paper examines the stability analysis of discrete-time control systems during the event of actuator saturation and time-varying state delay
Among them actuator saturation is more general in industrial control systems since there is always limitation in inputs of control in the form of amplitude as well as rate saturation
Summary
Every system is distressed due to common nonlinearities like saturation, deadzone, backlash, etc. Delaydependent stability criteria are established by using Wirtinger inequality approach, and based upon the memoryless H∞ state feedback controller is designed for uncertain linear system with time-varying delay and disturbance [36]. They have utilized all possible configurations of the delay such as its, upper bounds, lower bounds and derivative of upper bounds. Inspired by the above literature, especially [30], in this manuscript a controller based on feedback of state is invented to stabilize discrete systems along with input saturation and time-varying state delays through novel summation inequality in LKF. I -identity matrix of suitable dimension; 0 - null matrix or null vector; ΩT- transpose matrix of Ω; λmax(Ω) - maximum eigenvalue of any given matrix Ω; diag{a1, a2, . . . , an}- diagonal matrix with diagonal elements a1, a2, . . . , an; ∗ - symmetricity in matrices; ‖.‖- Euclidean norm He(M)-M + MT
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