Reduce the Effect of Disturbance from Linear Unstable Second Order Systems Using Hybrid Controller Scheme

Abstract

A linear algebraic method was introduce in [1, 2], in this paper, this method is used to design a linear compensators controller (LCC) which used together with another suggested disturbance reduction controller (DRC) to produce hybrid controller scheme. This hybrid controller is applied on single input-single output (SISO) second order linear unstable plants with linear disturbance, some of these plants may contains zero in right half plane. The first part of the hybrid controller scheme (the LCC) is used to stabilize the linear unstable systems by solving sets of linear algebraic equations, while the second part of the hybrid scheme (the DRC) is used to reduce the effect of the disturbance, in addition to improve the performance of LCC by reduce the oscillation, the error steady state, and the settling time of the system output response to reach the steady state. Many examples are tested to show the efficiency of this controller.

Keywords

• linear algebraic method
• Diephantine equation
• model matching
• sliding mode controller
• unstable linear second order plants
• disturbance reduction