Robust stabilization of switched nonlinear systems subject to actuator saturation

Parameterized H ∞ Controller Design for Switched Polynomial Hamiltonian Systems Subject to Actuator Saturation

“…(2) A symbolic computation-based parameter solution algorithm is described to solve the interval value of the parameter. Comparing with the method of [11], the method of this paper is more effective to verify the validity of the polynomial matrix inequalities conditions. In addition, the obtained value of the parameter is an interval.…”

“…In general, external disturbance and nonlinearity are common in the practical control systems. Many scholars have paid much attention to the H ∞ control problem for the nonlinear systems including switched nonlinear systems and obtained many achievements [10], [11][12][13], [7], [14][15][16][17], [4,5,[18][19][20]. Still and all, there are still many problems needed to be solved.…”

“…Most of the recent results are primarily focused at some kinds of system with special structures. In [11][12][13], some achievements for a kind of nonlinear system subject to AS with Hamiltonian structure were studied. As an important class of nonlinear systems with unified mathematical structure and clear physical meanings, port-controlled Hamiltonian systems have attracted the attention of scholars and have been studied in many different scenarios [10-13, 28, 31-36].…”

“…Many scholars have proposed some dissipative Hamiltonian realization methods, with which lots of practical systems can be modeled as Hamiltonian systems. In the method of [11][12][13], the Hamilton function is used as Lyapunov function and a kind of controller is designed with the Hamilton function. Although the solution of differential inequality is avoided, the controller is fixed at the same time, which limits its control performance, which is the motivation of the research of this paper.…”

“…(1) A parameterized controller design method is presented to solve the global asymptotical stabilization and L 2 disturbance attenuation problem for the switched polynomial Hamiltonian systems subject to actuator saturation. Comparing with the fixedstructure controller investigated by [11], on account of containing parameters whose values can be adjusted, the designed parameterized controller with the method of this paper possesses greater control ability and better control performance. (2) A symbolic computation-based parameter solution algorithm is described to solve the interval value of the parameter.…”