Stabilization of the systems with quadratic constraint uncertainties

In this paper, a convex parameterization methodology is presented for the problem of robust stabilization of the systems with quadratic constraint uncertainties. By this approach, the robust stabilization problem is converted to a convexly parameterized robust SPR synthesis problem. To solve this convexly parameterized robust SPR synthesis problem, the S-procedure is used to convert the problem to finding the feasible solutions of frequency dependent LMIs which can be solved by combining the techniques of griding the frequency range to get a limited number of LMIs and using KYP lemma to check the feasibility of the solutions.Automation & Control SystemsComputer Science, Artificial IntelligenceCPCI-S(ISTP)