Abstract
This chapter developed a method of estimating the ellipsoidal initial condition set which guarantees the quadratic stability via DSC. If the control input is bounded, the input constraint set is dependent on the choice of control gains and filter time constants. Therefore, for some initial conditions, the controller would be saturated for the high-gain assignment and stability is not guaranteed. By estimating the initial condition set, it provides more flexibility to design DSC and guarantees stability although there is an allowable degree of saturation in the control input.
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Notes
- 1.
Ψ(−z)=−Ψ(z) if and only if it is a norm.
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© 2011 Springer-Verlag London Limited
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Song, B., Hedrick, J.K. (2011). Constrained Stabilization. In: Dynamic Surface Control of Uncertain Nonlinear Systems. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-0-85729-632-0_5
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DOI: https://doi.org/10.1007/978-0-85729-632-0_5
Publisher Name: Springer, London
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