Stabilization of Linear/Nonlinear Autonomous Systems using Lyapunov Functions
S. Sudhahar1, D. Sharmila2

1S. Sudhahar, Assistant Professor, Department of Electronics and Instrumentation Engineering, Bannari Amman Institute of Technology, (Tamil Nadu), India.
2D. Sharmila, Professor, Department of Information Technology, Dr. N.G.P. Institute of Technology, Coimbatore (Tamil Nadu), India.
Manuscript received on 10 December 2018 | Revised Manuscript received on 29 December 2018 | Manuscript Published on 09 January 2019 | PP: 39-44 | Volume-7 Issue-4S November 2018 | Retrieval Number: E1866017519/19©BEIESP
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Abstract: This paper investigates the Lyapunov function construction of the linear/nonlinear autonomous systems for stability. The control Lyapunov functions are used to stabilize the system without sacrificing the transient state performance and trade-off between stability and performance of the system because safety of operation is very important then the performances of the system. The linear quadratic optimal control problems are solved based on the control Lyapunov functions for the tracking and disturbance rejection of both SISO and MIMO systems. The effectiveness of the proposed control Lyapunov functions for the system stability and performances shown through the numerically simulated examples.
Keywords: Lyapunov Functions, Linear/Non linear Autonomous System, LQR, Safety Margins.
Scope of the Article: Autonomous Robots