Symbolic Computation Based Robust Exponential Stabilization Control for the Switched Polynomial Systems with Control Input Constraints

This paper is concerned with the robust exponential stabilization control problem of switched polynomial systems with control input constraints. A parametric Lyapunov function approach is proposed to transform the system into switched dissipative Hamiltonian system and achieve robust exponential stability for the system. Then, a symbolic computation based parameter solution algorithm is introduced to estimate the largest domain of attraction and obtain the corresponding controller. At last, the effectiveness of the proposed approach is verified by a numerical example.