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An analytic approach to the design of nonlinear time-varying control systems

This paper addresses a controller design approach for a specific class of nonlinear time-varying systems based on an appropriate choice of a nonlinear time-varying dynamic feedback. A general form of the nonlinear time-varying dynamic controller is proposed. Lyapunov function theory was extensively used to prove global stability of closed systems. Conditions of local and global asymptotic stability of the nonlinear time-varying system are given. An analytic algorithm of controller design is presented. It is shown that the proposed design technique can successfully be applied to the specific class of the systems, the state variables of which are not fully observed. Simulation results show that the proposed approach to the nonlinear time-varying controller design is effective, and the closed-loop system is robust to small parametrical variations.