Solvability Condition for Robust Stabilization Problem of Control Systems with Parameter Uncertainties

具有参数不确定性的控制系统鲁棒镇定问题的可解性(英文)

Aim The solvability condition for robust stabilization problem associated with a plant family P(s,δ) having parameter uncertainty δ was considered. Methods Using Youla parameterization of the stabilizers this problem was transformed into a strong stabilization problem associated with a related plant family G (s, δ). Results A necessary solvability condition was established in terms of the parity interlacing property of each element in G(s,δ). Another apparently necessary solvability condition is that every element in P(s,δ) must be stabilizable. Conclusion The two conditions will be compared with each other and it will be shown that every element in G(s,δ) possesses parity interlacing property if P(s,δ) is stabilizable.

目的 考虑具有参数不确定性的控制对象族 Ｐ（ｓ ，δ） 的鲁棒镇定问题的可解性． 方法通过镇定器的 Ｙｏｕｌａ 参数化将鲁棒镇定问题化为某一相关对象族 Ｇ（ ｓ，δ） 的强镇定问题． 结果给出鲁棒镇定问题可解的一个必要条件，即 Ｇ（ｓ，δ） 的每个元素都应具有ｐａｒｉｔｙｉｎｔｅｒｌａｃｉｎｇ 性质． 鲁棒镇定问题可解的另一个明显的必要条件是 Ｐ（ｓ，δ） 可镇定． 结论 如果 Ｐ（ｓ，δ） 可镇定，则 Ｇ（ｓ，δ） 的每个元素都具有ｐａｒｉｔｙ ｉｎｔｅｒｌａｃｉｎｇ 性质．